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# 3D Euler–Bernoulli Beam
## 목적과 현재 범위
B33 선형 정적 해석, 지정 변위·절점 하중과 endpoint 복구. 등분포 등가하중은 local 검산이며 공개 DLOAD 지원이 아니다를 구현한 기능이다. 역사적 기능 검증과 현재 통합 회귀의 범위를 구분한다.
최근 dev 통합 회귀는 [전체 현황](../tracking/status.md)에 연결하며, 과거 release 판정은
[release.md](release.md)에 남긴다. 문서 정리는 새 기능 검증이나 재승인을 뜻하지 않는다.
## 계약과 재사용 Handoff
- [요구사항·acceptance](requirements.md): 지원·제외와 기존 요구사항 ID.
- [정식화](formulation.md): 수식·가정·부호·좌표계·복구 위치.
- [I/O](io.md): 입력 subset·진단·source identity·결과 schema.
- [Reference 모델](reference-model.md): 원본과 비교량·행 identity·적용 범위.
- [독립 수치 검토](numerical-review.md): 검산·위험·반례와 수정 확인.
- [검증·물리 결과](verification.md): 실제 실행한 명령·수치·실패·미실행·한계.
- [연구 근거](research.md): 정식화에 필요한 출처와 적용 경계.
공통 소유권은 [ARCHITECTURE](../ARCHITECTURE.md)를 따른다. Element는 local 계산,
Assembly는 결정적 reduction, Procedure는 trial/commit, Recovery는 물리 의미,
Writer는 직렬화를 담당한다. 새 기능에서 기존 stage/phase 실행 계획을 재사용하지 않는다.
현재 공개 API는 `include/fesa/`, 실제 구현은 `src/fesa/`와 대응 검사를 확인한다.
## 사용법
환경 준비·build·CTest·CLI 기본 사용은 [operations](../operations.md), 입력과 결과의
공통 계약은 [contracts](../contracts.md)를 따른다. 이 기능의 keyword·option 허용 범위는
위 I/O 계약을 확인한다. 과거 보고서의 machine 경로·임시 command를 현재 기본값으로 쓰지 않는다.
## 개발 과정과 주의사항
기존 단계별 계획·coordination은 완료된 실행 운영 기록이어서 제거했다. 승인된 요구사항·
수식·검토·실제 검증 결과는 위 문서에 보존한다. Git `858e87b`의 이전 경로는 당시 원문을
조회하는 용도로만 사용하며 현행 작업 지침이 아니다.
- Dense Matrix 저장 크기 곱의 overflow가 실제 음성 검사에서 드러났다. 크기를 할당 전에 검사하도록 수정했다.
- 빌드 실패 뒤 `No tests were found`가 나온 실행은 통과 evidence가 아니다. discovery inventory와 실제 실행을 함께 확인한다.
- 여러 instance의 같은 source label과 공유 절점의 서로 다른 element endpoint를 합치지 않는다.
- Beam endpoint action 부호와 회전·local/global 좌표를 검산하며 displacement 일치로 stress/reaction 정확성을 추론하지 않는다.
- 초기 단계의 header 누락 RED는 예상 TDD 실패이고 위 overflow는 실제 결함이었다. 두 종류를 구분한다.
실제 numerical·parser·solver·reaction·CLI 수정의 세부 evidence는 [수정 기록](lessons.md)에 남긴다.
@@ -1,238 +0,0 @@
# Linear Static 3D Euler Beam Build/Test Report
## Metadata
- feature_id: `linear-static-3d-euler-beam`
- source_commit: `400db191ce9f766ca6b34e5b609eaa13c54ccfa3`
- source_implementation_report: `docs/linear-static-3d-euler-beam/implementation-report.md`
- source_implementation_plan: `docs/linear-static-3d-euler-beam/implementation-plan.md`
- status: `pass-for-reference-verification`
- owner_agent: `build-test-executor-agent`
- date: `2026-08-09`
- evidence_window: `2026-08-09T23:16:20.8670416+09:00` through `2026-08-09T23:20:15.7264584+09:00`
## Verdict
Fresh Visual Studio 18 2026/MSVC x64 Debug configuration, a clean full rebuild,
the exact Step 25 configure/build commands, nonzero JSON discovery, the feature-label
CTest run, and the full CTest run all passed. CTest discovered the expected 83 tests
and both executed suites passed 83/83. The clean rebuild emitted no compiler or linker
warning line, and generated FESA product projects retain Level 4 plus warnings-as-errors.
The build/test gate therefore passes for handoff to Step 26 Reference Verification.
This verdict does not approve reference tolerance, physics sanity, or release readiness.
## Execution Environment
- os: `Microsoft Windows 11 Home 10.0.26200 build 26200; 64-bit`
- source_head: `400db191ce9f766ca6b34e5b609eaa13c54ccfa3`
- generator: `Visual Studio 18 2026`
- Visual Studio: `Community 18.8.2` (`18.8.12023.21`)
- MSBuild: `18.8.2+ce25c0108`
- compiler: `MSVC 19.51.36252.0`
- compiler_architecture: `x64`
- Windows SDK: `10.0.26100.0`
- language: `C++17`, required, extensions disabled
- config: `Debug`
- build_dir: `.harness/build`
- harness_config: absent; repository auto-CMake defaults plus Step 25 explicit cache values
- project_selection: auto CMake from root `CMakeLists.txt`
- command_discovery_path: default CMake/MSVC x64 Debug with explicit local dependency paths
- CMake / CTest: `4.4.0 / 4.4.0`
### Dependency Revisions
| dependency | resolved revision or version | evidence |
| --- | --- | --- |
| GoogleTest | `04ee1b4f2aefdffb0135d7cf2a2c519fe50dabe4` | clean `C:/git/googletest` checkout HEAD |
| Intel oneMKL | `2026.1.0` | `MKLConfigVersion.cmake`; configure reported `MKL_VERSION: 2026.1.0`, dynamic ILP64, Intel threading |
| Intel oneTBB | `2023.1.0` | `TBBConfigVersion.cmake` from the configured `2023.1` package |
| HDF5 | `2.1.1` | `hdf5-config-version.cmake` from the configured `2.1.1` package |
## Freshness and Configuration Resolution
The ignored generated build tree already existed. Fresh evidence was obtained without
reusing its cache or products by running CMake `--fresh` with the generator explicitly
fixed to Visual Studio 18 2026, then running the generated `clean` target before the
full build. The literal no-`--fresh`, no-`-G` configure command from Step 25 was then
run against that resolved VS18 cache and followed by the literal build, discovery,
feature-label, and full-test commands.
Post-configure metadata recorded:
- `CMAKE_GENERATOR=Visual Studio 18 2026`
- `CMAKE_GENERATOR_PLATFORM=x64`
- `CMAKE_CXX_COMPILER_ID=MSVC`
- `CMAKE_CXX_COMPILER_VERSION=19.51.36252.0`
- `CMAKE_CXX_COMPILER_ARCHITECTURE_ID=x64`
## Command Log Summary
| order | command | start / end | exit code | duration | verdict and stdout/stderr tail |
| ---: | --- | --- | ---: | ---: | --- |
| 1 | `cmake --fresh -S . -B .harness/build -G "Visual Studio 18 2026" -A x64 -DFESA_GTEST_SOURCE_DIR=C:/git/googletest "-DMKL_DIR=C:/Program Files (x86)/Intel/oneAPI/mkl/2026.1/lib/cmake/mkl" "-DTBB_DIR=C:/Program Files (x86)/Intel/oneAPI/tbb/2023.1/lib/cmake/tbb" "-DHDF5_DIR=C:/Program Files/HDF_Group/HDF5/2.1.1/cmake"` | `23:16:20.867+09:00` / `23:16:27.706+09:00` | 0 | `6.836 s` | pass; MKL 2026.1.0 and required runtime libraries resolved; `Configuring done`, `Generating done`, build files written to `.harness/build` |
| 2 | `cmake --build .harness/build --config Debug --target clean` | `23:16:37.194+09:00` / `23:16:37.914+09:00` | 0 | `0.716 s` | pass; generated VS18 clean target completed |
| 3 | `cmake --build .harness/build --config Debug` | `23:16:47.054+09:00` / `23:18:01.769+09:00` | 0 | `74.713 s` | pass; clean compile/link produced `fesa.exe` and all three test executables; warning scan count `0` |
| 4 | `cmake -S . -B .harness/build -A x64 -DFESA_GTEST_SOURCE_DIR=C:/git/googletest "-DMKL_DIR=C:/Program Files (x86)/Intel/oneAPI/mkl/2026.1/lib/cmake/mkl" "-DTBB_DIR=C:/Program Files (x86)/Intel/oneAPI/tbb/2023.1/lib/cmake/tbb" "-DHDF5_DIR=C:/Program Files/HDF_Group/HDF5/2.1.1/cmake"` | `23:19:10.210+09:00` / `23:19:10.861+09:00` | 0 | `0.649 s` | pass; exact Step 25 command selected Windows SDK 10.0.26100.0, retained VS18/x64, and completed configure/generate |
| 5 | `cmake --build .harness/build --config Debug` | `23:19:25.404+09:00` / `23:19:28.969+09:00` | 0 | `3.562 s` | pass; exact Step 25 build confirmed `fesa_solver`, `fesa.exe`, and all test executables; warning scan count `0` |
| 6 | `ctest --test-dir .harness/build -C Debug --show-only=json-v1` | `23:19:45.728+09:00` / `23:19:45.798+09:00` | 0 | `0.065 s` | pass; JSON kind `ctestInfo` version 1.0; 83 tests; every test has the feature label |
| 7 | `ctest --test-dir .harness/build -C Debug -L linear-static-3d-euler-beam --output-on-failure` | `23:20:00.199+09:00` / `23:20:04.163+09:00` | 0 | `3.961 s` | pass; `100% tests passed out of 83`; real test time `3.92 s` |
| 8 | `ctest --test-dir .harness/build -C Debug --output-on-failure` | `23:20:11.899+09:00` / `23:20:15.726+09:00` | 0 | `3.825 s` | pass; `100% tests passed out of 83`; real test time `3.79 s` |
An initial post-clean discovery/feature/full smoke was also run before the literal
configure replay: discovery exit 0 in `0.068 s` with 83 tests, feature-label CTest
exit 0 in `4.244 s` with 83/83, and full CTest exit 0 in `4.011 s` with 83/83.
Rows 4 through 8 are the final canonical Step 25 acceptance chain.
## Validation Results
| validation_stage | result | evidence |
| --- | --- | --- |
| harness self-test | skipped | No Harness Python, Hook, or agent-config file is part of HEAD `400db19` verification scope. |
| fresh configure | pass | Explicit VS18/x64 `--fresh` configure exit 0, followed by clean target exit 0. |
| exact configure | pass | Literal Step 25 configure exit 0; generated metadata is MSVC/x64. |
| clean full build | pass | Exit 0 after clean; all source and test translation units compiled and linked. |
| exact build | pass | Exit 0; product and three test executables confirmed. |
| compiler/warning policy | pass | `fesa_solver` and `fesa_cli` generated projects have `Level4` and `TreatWarningAsError=true`; clean and exact build scans found zero warning lines. |
| CTest discovery | pass | Exit 0; 83 tests, greater than zero and equal to the expected inventory. |
| feature-specific tests | pass | Label `linear-static-3d-euler-beam`: 83/83 passed. |
| full CTest | pass | 83/83 passed with zero failed tests. |
| reference immutability | pass | Pre/post `git diff --exit-code -- reference/` exit 0, status empty, and four exact SHA-256 values unchanged. |
| source worktree before report | pass | `git status --short` empty at HEAD `400db19`. |
## CTest Inventory
### Label Inventory
| label | count |
| --- | ---: |
| `linear-static-3d-euler-beam` | 83 |
| `unit` | 73 |
| `integration` | 5 |
| `reference` | 5 |
### Suite Inventory and Step Trace
| implementation Step | CTest suite or suites | count | cumulative count | Step 7-24 report evidence audit |
| ---: | --- | ---: | ---: | --- |
| 7 | `BuildInfo` | 2 | 2 | pass |
| 8 | `CoreDiagnostics` | 3 | 5 | pass |
| 9 | `DenseMath` | 2 | 7 | pass |
| 10 | `DomainModel` | 3 | 10 | pass |
| 11 | `InpSyntax` | 4 | 14 | pass |
| 12 | `InpDomainMapping` | 5 | 19 | pass |
| 13 | `AnalysisModel` | 3 | 22 | pass |
| 14 | `DofManager` | 4 | 26 | pass |
| 15 | `AnalysisState` | 3 | 29 | pass |
| 16 | `EulerBeam3D` | 10 | 39 | pass |
| 17 | `ParallelFor` | 3 | 42 | pass |
| 18 | `SparseAssembly` | 5 | 47 | pass |
| 19 | `EssentialConstraints` | 4 | 51 | pass |
| 20 | `MklPardisoSolver` | 6 | 57 | pass |
| 21 | `LoadAssembly` | 5 | 62 | pass |
| 22 | `ResultRecovery` | 6 | 68 | pass |
| 23 | `Hdf5ResultsWriter` | 5 | 73 | pass |
| 24 | `LinearStaticCli` (5), `ReferenceComparisonContract` (4), `B33ReferenceComparison` (1) | 10 | 83 | pass |
The JSON inventory contains every exact test name registered by GoogleTest discovery.
No duplicate CTest name was observed; the label partition is exactly 73 unit + 5
integration + 5 reference = 83.
## Step 7-24 Implementation Evidence Audit
The cumulative implementation report was checked block-by-block against the implementation
plan and the phase index summaries. All 18 Step blocks are present and each records:
- its matching `TASK-07` through `TASK-24`, `status: completed`, changed files,
requirement IDs, and test IDs;
- at least one implementation-owned nonzero RED command with the expected missing API
or named behavioral failure;
- a zero-exit GREEN build/test for the Step's targeted CTest suite;
- zero-exit MSVC x64 configure/build, nonzero JSON discovery, and zero-failure full CTest;
- `/W4 /WX` or equivalent generated warning-policy evidence and reference-tree
immutability evidence.
Step 20 and Step 22 additionally retain valid behavioral RED/GREEN correction evidence.
Step 23 records its environment link incident separately from the valid missing-API RED,
so the environment incident was not counted as TDD evidence. The cumulative counts in the
implementation report and the Step 7-24 phase summaries progress exactly to the freshly
discovered 83-test inventory above.
The implementation report's cumulative header still says `in-progress`; the audited
step-local evidence contract and phase index nevertheless mark every implementation Step
7-24 `completed`. This stale aggregate header is not a missing Step block, missing test,
or failed build/test gate and was not modified by the independent executor.
## `/W4 /WX` and Warning Audit
- `src/fesa/CMakeLists.txt` applies `/W4 /WX` privately to `fesa_solver` and `fesa_cli`.
- Generated `fesa_solver.vcxproj` and `fesa_cli.vcxproj` contain
`<WarningLevel>Level4</WarningLevel>` and
`<TreatWarningAsError>true</TreatWarningAsError>` for Debug and the other generated
configurations.
- The clean 74.713-second build recompiled the product and all test translation units;
its compiler/linker warning scan found `0` lines.
- The exact post-configure build also exited 0 and found `0` warning lines.
Result: no product warning was emitted, and any MSVC product warning would have failed
the build under `/WX`.
## Reference Read-Only Audit
The following SHA-256 values were identical before and after all configure/build/test
commands, while both reference diff checks exited 0 and both reference status checks
were empty:
| exact approved legacy path | SHA-256 |
| --- | --- |
| `reference/cantilever beam/cantilever beam.inp` | `E406EA9560321B791DB829E03BD24593B9875E0195D35B86BD931EDA122EF3` |
| `reference/cantilever beam/cantilever beam displacements.csv` | `7B3312FBC8848E81D9A0FD4FF2B56BC1954636A2C14B5C1CBB269CB9477D3C31` |
| `reference/cantilever beam/cantilever beam reactions.csv` | `BF30CDB0CD50106885DE14D63492737736C587426EBD787DE4F7EE6AA86DAA23` |
| `reference/cantilever beam/cantilever beam elemental forces.csv` | `E5E77FEC0FA9482AE018DBF296E74D396335C7C711BD2E9AA2315247A34290BA` |
## Failure Classification
- classification: `N/A`
- primary_failure: `N/A`
- first_failed_command: `N/A`
- evidence_tail: All required configure, build, discovery, feature-label, and full-test
commands exited 0; no failed test exists.
- correction_handoff: `N/A`; no implementation-owned, environment, harness, or
upstream-contract failure requires correction.
## Failed Test Inventory
None. Feature-label CTest and full CTest both passed 83/83.
## Handoff Recommendation
| target_agent | reason | required_input |
| --- | --- | --- |
| Reference Verification Agent | Step 25 build/test gate is `pass-for-reference-verification`. | This report, HEAD `400db19`, `.harness/build/tests/Debug/fesa_reference_tests.exe`, and the unchanged exact legacy bundle. |
The build-local Step 24 evidence exists at
`.harness/build/reference/cantilever-beam-b33/results.h5` and
`.harness/build/reference/cantilever-beam-b33/comparison.json`; the JSON is 128,118 bytes
with SHA-256
`258347AEA791D981AEA9B2BCAD85DE5344D4859ECA3692DC5E7AA01A848F8E0D`.
Step 26 must independently rerun and inspect the approved comparison evidence. Its
presence and CTest success here are not a reference-verification verdict.
## No-Change Assertion
- source_files_modified: `false`
- test_files_modified: `false`
- cmake_files_modified: `false`
- requirements_or_upstream_contracts_modified: `false`
- reference_artifacts_modified: `false`
- tolerance_policies_modified: `false`
- owned_report_modified: `true`
- phase_index_step25_modified: `true`
- notes: Before report/index creation the worktree was clean at the audited HEAD. Final
scope validation is limited to this report and the Step 25 fields in the phase index.
## Open Issues
- None blocking Reference Verification.
- The implementation report aggregate `in-progress` header is noted above but does not
contradict its 18 completed Step blocks, the phase index, or the fresh build/test result.
@@ -1,41 +0,0 @@
# Linear Static 3D Euler Beam Coordination Report
## Metadata
- feature_id: linear-static-3d-euler-beam
- status: completed
- owner_agent: coordinator-agent
- date: 2026-08-15
- migration_note: Existing evidence was relocated without rerunning workflow gates.
## Worklist
| stage | owner | status | evidence |
| --- | --- | --- | --- |
| 1. requirements | requirement-agent | passed | `requirements.md` |
| 2. research | research-agent | passed | `research.md` |
| 3. formulation | formulation-agent | passed | `formulation.md` |
| 4. numerical and reference | numerical-review-agent | passed | `numerical-review.md`; `reference-model.md` |
| 5. I/O | io-definition-agent | passed | `io.md` |
| 6. implementation and verification | implementation-planning-agent; implementation-agent | passed | `implementation-plan.md`; `implementation-report.md`; `build-test.md`; `reference-comparison.md` |
| 7. physics | physics-evaluation-agent | passed | `physics-evaluation.md` |
| 8. release | release-agent | passed | `release.md` |
## Current Progress
- active_sub_agent: none
- next_handoff: none
- closure_evidence: `release.md` status `ready-for-release`
- workflow_disposition: completed
## Decision Log
| date | decision | evidence | rationale |
| --- | --- | --- | --- |
| 2026-08-15 | Record migrated workflow as completed | `release.md` | Preserve the existing release verdict without retroactive gate execution. |
## Blockers and Rework
- active_blockers: none
- correction_attempt_count: 0
- needs_user_decision: false
@@ -5,7 +5,7 @@
- feature_id: `3d-isoparametric-euler-beam`
- source_requirement: `docs/linear-static-3d-euler-beam/requirements.md`
- source_research: `docs/linear-static-3d-euler-beam/research.md`
- approved_design: `docs/superpowers/specs/2026-08-08-linear-static-3d-euler-beam-design.md`
- approved_design: `docs/development-history.md`
- status: `ready-for-numerical-review`
- owner_agent: `formulation-agent`
- date: `2026-08-09`
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@@ -7,7 +7,7 @@
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- source_numerical_review: `docs/linear-static-3d-euler-beam/numerical-review.md`
- source_research: `docs/linear-static-3d-euler-beam/research.md`
- approved_design: `docs/superpowers/specs/2026-08-08-linear-static-3d-euler-beam-design.md`
- approved_design: `docs/development-history.md`
- status: `ready-for-implementation-planning`
- owner_agent: `io-definition-agent`
- date: `2026-08-09`
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@@ -0,0 +1,338 @@
# Beam 수정·실패와 재발 방지
당시 독립 검토의 실제 결함·RED/GREEN·수정 확인을 보존한다. 현재 ownership과 실행은 공통 문서를 따른다.
<a id="implementation-report"></a>
<a id="implementation-report--review-fix-round-1--matrix-storage-size-overflow"></a>
#### Review Fix Round 1 — matrix-storage-size-overflow
- regression_test: `tests/unit/math/matrix_test.cpp` now constructs
`Matrix{SIZE_MAX / 2 + 1, 2}` and requires `std::length_error`.
- RED: `cmake --build .harness/build --config Debug --target fesa_tests` exited 0;
`ctest --test-dir .harness/build -C Debug -R DenseMath --output-on-failure`
exited 8 with 1/2 failures because the wraparound constructor threw nothing.
- fix: `Matrix` computes its storage size through a checked helper before vector
construction and rejects exactly `columns != 0 && rows > SIZE_MAX / columns`.
- GREEN: the same targeted build and DenseMath CTest commands exited 0; 2/2 passed.
- VERIFY: approved MSVC x64 configure and full Debug build exited 0; targeted
DenseMath passed 2/2, discovery found 7 tests, and the full suite passed 7/7.
The public-header MKL scan had zero matches, `git diff --check` exited 0, and
`git diff --exit-code -- reference/` exited 0.
- scope: the deferred empty-dot review minor was not changed, reference artifacts
remain untouched, and phase Step 9 status/timestamps were not modified.
<a id="implementation-report--step-12-review-corrections"></a>
#### Step 12 Review Corrections
- A duplicate-`*ELASTIC` regression test first failed because a second
consecutive elasticity record lost the owning-material state. Preserving the
immediate material eligibility produced the exact `duplicate-entity`
diagnostic and restored targeted 5/5.
- Ten monotonic-order regressions first failed at the accepted late-`*PART`
case. Explicit phase state now rejects late model data, assembly sets before
or followed by instances, element-before-node, incomplete block closure, and
pre-`*STATIC` or out-of-order history data with
`invalid-keyword-location`.
- Review edge tests then failed for valid `1e308` geometry and for nonfinite
elasticity being classified as input. Context-specific model parsing,
overflow-safe scaled geometry comparisons, active beam-section context,
exact GENERATE landing, direct/ambiguous target resolution, and exact
threshold cases were added. The corrected focused suite passes 5/5 and the
full accumulated suite passes 19/19.
- Focused re-review returned Critical 0 and Important 0. Its sole remaining
minor requested an explicit negative transverse-shear context assertion;
that table case was added and passes without a production change.
<a id="implementation-report--step-12-root-review-fix-round-1--same-token-target-ambiguity"></a>
#### Step 12 Root Review Fix Round 1 — same-token target ambiguity
- finding: `resolveNodeTarget` returned one matching node set before computing
the direct numeric source-label candidates. A token such as `1` therefore
silently selected `NSET=1` even when node source label `1` was also a valid
interpretation.
- regression_scope: `RejectsUnsupportedAndInvalidPortfolio` now constructs an
`NSET` named `1` containing node `2` while node label `1` also exists, and
exercises the same token independently through both `*BOUNDARY` and
`*CLOAD`. It requires input-category `unresolved-reference` with exact
keyword, entity identity `1`, and original data-row file/line location.
- RED-build: `cmake --build .harness/build --config Debug --target fesa_tests`
exited 0 after registering the two regression paths.
- RED-test: `ctest --test-dir .harness/build -C Debug -R "InpDomainMapping.RejectsUnsupportedAndInvalidPortfolio" --output-on-failure`
exited 8. The test failed at `same-token-boundary`
because `result.hasValue()` was true instead of the required structured
failure.
- fix: target resolution computes both name-matched node sets and numeric
direct-node candidates before returning either. Multiple candidates within
an interpretation or one valid candidate from each interpretation use the
existing input/`unresolved-reference` ambiguity contract; unique set-only
and direct-only paths remain unchanged.
- GREEN: the targeted build exited 0 and `ctest --test-dir .harness/build -C Debug -R InpDomainMapping --output-on-failure`
exited 0 with 5/5 passed.
- VERIFY: approved explicit-dependency MSVC x64 configure and full Debug build
exited 0; discovery found 19 tests including all five mapper names; full
CTest passed 19/19. Backend/upward/core-upward/distributed-load/unapproved
`nu` scans were 0, exactly five mapper tests remained, `git diff --check`
exited 0, and reference diff/status were clean.
- deferred_scope: the separate known-but-misplaced keyword diagnostic Minor was
deliberately not changed in this fix round. No phase-index change and no
commit were made.
<a id="implementation-report--root-numerical-review--fix-round-1"></a>
#### Root numerical review — Fix Round 1
- scope: all three `Important` findings addressed in
`src/fesa/elements/euler_beam_3d.cpp` and the existing exact T16 tests; the
two `Minor` findings were intentionally not changed in this round.
- defect_RED: after adding finite-positive derived-overflow,
derived-underflow, and length-scaled-underflow fixtures to existing
`T16-BEAM-007`,
`ctest --test-dir .harness/build -C Debug -R EulerBeam3D.RejectsInvalidGeometryAndProperties --output-on-failure`
exited 8. All three invalid fixtures were accepted; the diagnostic path
observed respectively a nonfinite stiffness with maximum `inf`, an all-zero
stiffness, and a stiffness with a required bending coefficient underflowed
to zero.
- defect_GREEN: `cmake --build .harness/build --config Debug --target fesa_tests`
exited 0 and the same focused CTest exited 0 with 1/1 passed. `create()` now
requires derived `EA`, `GJ`, `EIy`, `EIz` and all ten distinct positive
length-scaled axial/torsion/bending block magnitudes to be finite and
strictly positive. This rejects arithmetic overflow/underflow as
`invalid-beam-property` without a conditioning threshold.
- invariant_hardening: production `normalizedMatrixError` now returns infinite
error for any nonfinite operand, difference, scale, or quotient, so the
two-point/closed-form `1e-12` invariant fails closed.
- analytical_hardening: every nonzero reference in existing `T16-BEAM-006`
now checks `abs(actual-reference)/abs(reference) <= 1e-9`; only the explicitly
zero free-end resultants retain an absolute check. This evidence-only change
was expected to remain GREEN and its focused test passed without a production
correction.
- convergence_hardening: existing `T16-BEAM-005` directly assembles aligned
1/2/4-element `[v,rz]` cantilever systems from public `localStiffness()` and
`localEquivalentLoad()` only. It checks each exact signed constant transverse
element load, solves a test-only dense reduced system, and uses independent
five-point integration of interior cubic-Hermite displacement error against
the quartic uniform-load solution. Both refinements are monotone and each
observed order is 4 within `1e-8`. No `DLOAD`, parser, Domain, or production
assembly support was introduced. This evidence-only change was expected to
remain GREEN and the T16-005/T16-006 focused run passed 2/2.
| stage | exact command | exit_code | observed_result |
| --- | --- | ---: | --- |
| FIX1-RED | `ctest --test-dir .harness/build -C Debug -R EulerBeam3D.RejectsInvalidGeometryAndProperties --output-on-failure` | 8 | 0/1 passed; unexpected acceptance exposed nonfinite and zero stiffness outcomes |
| FIX1-GREEN-build | `cmake --build .harness/build --config Debug --target fesa_tests` | 0 | corrected source and unchanged ten test names compiled under `/W4 /WX` without a warning |
| FIX1-GREEN-defect | `ctest --test-dir .harness/build -C Debug -R EulerBeam3D.RejectsInvalidGeometryAndProperties --output-on-failure` | 0 | 1/1 passed |
| FIX1-GREEN-evidence | `ctest --test-dir .harness/build -C Debug -R 'EulerBeam3D.(ConstantLineLoadMatchesAllSignedComponents|AnalyticalAxialTorsionAndTwoPlaneBendingRecover)' --output-on-failure` | 0 | 2/2 analytical/convergence hardening tests passed without another production change |
| FIX1-VERIFY-configure | `cmake -S . -B .harness/build -A x64 -DFESA_GTEST_SOURCE_DIR=C:/git/googletest "-DMKL_DIR=C:/Program Files (x86)/Intel/oneAPI/mkl/2026.1/lib/cmake/mkl" "-DTBB_DIR=C:/Program Files (x86)/Intel/oneAPI/tbb/2023.1/lib/cmake/tbb" "-DHDF5_DIR=C:/Program Files/HDF_Group/HDF5/2.1.1/cmake"` | 0 | exact MSVC x64 Debug tree configured and generated |
| FIX1-VERIFY-build | `cmake --build .harness/build --config Debug` | 0 | full Debug build completed without a new warning |
| FIX1-VERIFY-targeted | `ctest --test-dir .harness/build -C Debug -R EulerBeam3D --output-on-failure` | 0 | exact 10/10 passed |
| FIX1-VERIFY-discovery | `ctest --test-dir .harness/build -C Debug --show-only=json-v1` | 0 | 39 total tests discovered, including the same ten EulerBeam3D names |
| FIX1-VERIFY-full | `ctest --test-dir .harness/build -C Debug --output-on-failure` | 0 | 39/39 passed |
| FIX1-VERIFY-scans | fail-on-match numerical invariant, dependency, scope, exact-test-count, reference, phase-index, and diff/whitespace scans | 0 | derived rigidity/coefficient and fail-closed checks present; tests 10; leaks 0; reference and phase index unchanged; diff clean |
<a id="implementation-report--step-17-review-fix-round-1--atomic-test-evidence"></a>
#### Step 17 Review Fix Round 1 — atomic test evidence
- classification: test-evidence reliability hardening; no production defect
was observed or corrected.
- baseline_GREEN: before changing the test,
`ctest --test-dir .harness/build -C Debug -R ParallelFor --output-on-failure`
exited 0 with the existing production adapter passing 3/3. Because the
review changes only how a test observes duplicate callbacks, no
implementation-owned RED was expected or manufactured.
- reliability_issue: the prior `std::vector` scalar writes were race-free only
if the exact-once contract was already true. A duplicate concurrent callback
for one index could write the same non-atomic scalar concurrently, making the
negative case undefined instead of a deterministic test failure.
- correction: T17-PFOR-001 now uses an explicitly initialized atomic zero-count
counter and explicitly initialized per-index atomic visit counters.
T17-PFOR-002 uses explicitly initialized atomic serial/TBB output slots plus
per-index atomic visit counters. All callback increments use
`fetch_add(1, memory_order_relaxed)` and post-execution assertions require
every count to equal one, so duplicate same-index callbacks are observed
without a data race. Output stores/loads are relaxed atomics because only
per-slot observation is required after the blocking adapter returns.
- scope: only `tests/unit/assembly/parallel_for_test.cpp`, this cumulative
Step 17 section, and the ignored `task-17-report.md` changed. Production,
CMake, the phase index, upstream contracts, and reference artifacts were not
modified in this review round; the exact three test names remain unchanged.
| stage | exact command | exit_code | observed_result |
| --- | --- | ---: | --- |
| REVIEW1-baseline-GREEN | `ctest --test-dir .harness/build -C Debug -R ParallelFor --output-on-failure` | 0 | existing correct production passed 3/3 before test hardening; no implementation RED expected |
| REVIEW1-VERIFY-build | `cmake --build .harness/build --config Debug` | 0 | C++17 atomic test evidence compiled and linked under MSVC `/W4 /WX` without a warning |
| REVIEW1-VERIFY-targeted | `ctest --test-dir .harness/build -C Debug -R ParallelFor --output-on-failure` | 0 | hardened exact three ParallelFor tests passed 3/3 |
| REVIEW1-VERIFY-discovery | `ctest --test-dir .harness/build -C Debug --show-only=json-v1` | 0 | 42 tests discovered, including the unchanged three exact ParallelFor names |
| REVIEW1-VERIFY-full | `ctest --test-dir .harness/build -C Debug --output-on-failure` | 0 | full accumulated suite passed 42/42 |
| REVIEW1-VERIFY-scans | public TBB leak, production scope, atomic reliability, reference, and diff/whitespace scans | 0 | public leaks 0; forbidden production scope 0; atomic vectors 5; relaxed duplicate counters 4; legacy non-atomic visit/output paths 0; reference unchanged; diff clean |
<a id="implementation-report--step-18-review-fix-round-1--evidence-artifact-scope"></a>
#### Step 18 Review Fix Round 1 — evidence artifact scope
- classification: evidence/artifact-integrity correction only. Production,
public headers, tests, CMake, upstream contracts, and phase-index content
were not changed by this review fix.
- reproduced_finding: before correction,
`git diff --check 59da6c6..HEAD` exited 2 with
191 findings (382 output lines), all for trailing whitespace in tracked file
`.harness/step18-discovery.json`. The cumulative `changed_files` list omitted
that tracked file while listing ignored scratch file
`.superpowers/sdd/linear-static-3d-euler-beam/task-18-report.md` as though it
were tracked.
- correction: deleted the generated discovery JSON with `apply_patch` and
reconciled `changed_files` to the exact 10-file combined tracked scope. The
ignored scratch report remains supplementary evidence and is not listed as
a tracked Step 18 file.
- phase_index_guard: `git hash-object
phases/linear-static-3d-euler-beam/index.json` was
`6808d3a8101f656e978b7e00df6cf1a4ad5f1711` before and after correction.
| stage | exact command | exit_code | observed_result |
| --- | --- | ---: | --- |
| REVIEW1-reproduce | `git diff --check 59da6c6..HEAD` | 2 | 191 findings (382 output lines), all for trailing whitespace, were isolated to the accidental tracked discovery JSON |
| REVIEW1-scope | `git diff --name-status 59da6c6` | 0 | Combined base-to-worktree scope contains exactly 10 tracked Step 18 files; discovery JSON and ignored scratch report are absent |
| REVIEW1-diff | `git diff --check 59da6c6` | 0 | Combined committed plus worktree Step 18 range is whitespace-clean after artifact deletion |
| REVIEW1-configure | `cmake -S . -B .harness/build -A x64 -DFESA_GTEST_SOURCE_DIR=C:/git/googletest "-DMKL_DIR=C:/Program Files (x86)/Intel/oneAPI/mkl/2026.1/lib/cmake/mkl" "-DTBB_DIR=C:/Program Files (x86)/Intel/oneAPI/tbb/2023.1/lib/cmake/tbb" "-DHDF5_DIR=C:/Program Files/HDF_Group/HDF5/2.1.1/cmake"` | 0 | Exact MSVC x64 dependency-resolved configuration completed |
| REVIEW1-build | `cmake --build .harness/build --config Debug` | 0 | Full Debug build completed under `/W4 /WX` without a new warning |
| REVIEW1-targeted | `ctest --test-dir .harness/build -C Debug -R SparseAssembly --output-on-failure` | 0 | Exact SparseAssembly suite passed 5/5 |
| REVIEW1-full | `ctest --test-dir .harness/build -C Debug --output-on-failure` | 0 | Full accumulated suite passed 47/47 |
| REVIEW1-reference | `git diff --exit-code 59da6c6 -- reference/`; `git status --short -- reference/` | 0 | Approved reference artifacts remain unchanged and reference status is empty |
<a id="implementation-report--step-20-review-fix-round-1--fully-constrained-lifecycle-and-normalized-validation"></a>
#### Step 20 Review Fix Round 1 — fully constrained lifecycle and normalized validation
- review_classification: Important integration/correctness fixes. Step 19
intentionally produces a valid `0x0 Kff` for an all-constrained model, so
rejecting that matrix contradicted the accumulated solver workflow.
- test_scope: the existing six `MklPardisoSolver` test names were retained.
The invalid-state test now covers trivial factorize/solve followed by a
nonempty refactor, unchanged caller output on failed solves, and a
small-scale asymmetric matrix. Numerical helpers now divide by the actual
nonzero RHS/expected norm and fail closed for zero or nonfinite norms.
| stage | exact command | exit_code | observed_result |
| --- | --- | ---: | --- |
| RED-zero-equation | `cmake --build .harness/build --config Debug; ctest --test-dir .harness/build -C Debug --output-on-failure -R MklPardisoSolver` | 1 | Build passed; 5/6 tests passed and `RejectsInvalidCsrStateAndDimensions` failed because valid `0x0 Kff` factorization returned failure |
| TEST-hardening | same targeted command after replacing unit-floor norm helpers | 1 | The same zero-equation production defect remained the only failure; no artificial RED was claimed for already-correct numerical results |
| GREEN-zero-equation | same targeted command after the minimum production change | 0 | 6/6 passed; empty factorize/solve avoids PARDISO and a following nonempty refactor solves correctly |
| RED-scaled-symmetry | `cmake --build .harness/build --config Debug; ctest --test-dir .harness/build -C Debug --output-on-failure -R MklPardisoSolver` | 1 | Build passed; 5/6 tests passed and the existing invalid-state test showed that a scaled asymmetric matrix was incorrectly accepted |
| GREEN-scaled-symmetry | same targeted command after the minimum production change | 0 | 6/6 passed with symmetry normalized by the matrix's actual maximum absolute entry and no unit-size floor |
| VERIFY-configure | `cmake -S . -B .harness/build -A x64 -DFESA_GTEST_SOURCE_DIR=C:/git/googletest "-DMKL_DIR=C:/Program Files (x86)/Intel/oneAPI/mkl/2026.1/lib/cmake/mkl" "-DTBB_DIR=C:/Program Files (x86)/Intel/oneAPI/tbb/2023.1/lib/cmake/tbb" "-DHDF5_DIR=C:/Program Files/HDF_Group/HDF5/2.1.1/cmake"` | 0 | Explicit MSVC x64 dependencies configured and generated successfully |
| VERIFY-build/targeted | `cmake --build .harness/build --config Debug; ctest --test-dir .harness/build -C Debug --output-on-failure -R MklPardisoSolver` | 0 | Debug build completed without a new warning; exact Step 20 suite passed 6/6 |
| VERIFY-discovery/full | `ctest --test-dir .harness/build -C Debug --show-only=json-v1; ctest --test-dir .harness/build -C Debug --output-on-failure` | 0 | 57 tests discovered and 57/57 passed |
| VERIFY-contract | backend API leak scan, exact-test count, forbidden fallback/regularization scan, `git diff --check`, and reference diff/status | 0 | backend API leaks 0; exact tests 6; forbidden implementation matches 0; whitespace clean; `reference/` unchanged |
- production_fix: a successful zero-equation factorization is represented as
trivial private state without allocating or calling PARDISO; empty solve
succeeds only after that observable factorization. The ordinary `release()`
path safely clears this state before later refactorization or destruction.
- production_fix: symmetry requires every reverse structural pair and compares
`abs(aij-aji)` to `1e-12 * max(abs(A))`. An exactly zero matrix uses an exact
zero difference check; SparseMatrix validation remains responsible for
rejecting nonfinite values.
- failure_atomicity: solve-before-factorize, dimension mismatch, and nonfinite
RHS failures are asserted to leave the caller's solution values unchanged;
successful backend output is still copied from a private candidate only
after phase 33 and finite-result validation.
- evidence_hygiene: two intermediate symmetry RED attempts were discarded
because a concurrent clean build locked MSBuild files. The uncontended RED
above reproduced the production defect deterministically and is the recorded
evidence.
- phase_index: intentionally unchanged during this review fix; hash
`2cfb6ee5e0c49fbf6b06d27cb33ec9ac2c34dbc4`.
- supersession: this review section supersedes the original Step 20 statements
that the factorized CSR must be nonempty or that empty input is rejected.
- concerns: none; the transient build contention was resolved before recorded
RED/GREEN/VERIFY runs and no critical or upstream blocker remains.
<a id="implementation-report--step-22-review-fix-round-1--full-space-free-residual-visibility"></a>
#### Step 22 Review Fix Round 1 — full-space free-residual visibility
- review_trigger: the approved I/O contract requires Reaction at every node
and component, including the accepted free-DOF residual; the AnalysisState
storage comment likewise makes reaction a full-index residual view.
- RED-test: `cmake --build .harness/build --config Debug --target fesa_tests;
ctest --test-dir .harness/build -C Debug -R
'^ResultRecovery.EnforcesNormalizedFreeResidual$' --output-on-failure`
built successfully and exited 1 in CTest. The accepted below-tolerance free
residual was `-1.000000082740371e-09`, while its reaction entry was `0`.
- production_fix: the private reaction candidate is now a full copy of
`residual=K*d-F`. Constrained entries remain the physical reactions, free
entries retain residual evidence, and element end actions are still never
summed into reaction.
- GREEN-focused: the same focused build/test command exited 0 and passed 1/1
after the minimum production change.
- VERIFY-build: `cmake --build .harness/build --config Debug` exited 0 under
MSVC x64 Debug with no new FESA warning.
- VERIFY-targeted: `ctest --test-dir .harness/build -C Debug -R
ResultRecovery --output-on-failure` exited 0 and passed the unchanged exact
six names 6/6.
- VERIFY-discovery-full: `ctest --test-dir .harness/build -C Debug
--show-only=json-v1` discovered 68 tests, exactly six ResultRecovery tests;
full `ctest --test-dir .harness/build -C Debug --output-on-failure` exited 0
and passed 68/68.
- failure_atomicity: the existing tolerance-failure branch in
`ResultRecovery.EnforcesNormalizedFreeResidual` still proves prior internal,
residual, reaction, and endpoint state remains unchanged on failure.
- supersession: this review section records the historical pre-fix finding
that implementation and report originally kept only constrained residual
entries. The final Step 22 contract above now states that reaction is the
full residual dataset; only constrained entries are physical reactions.
- phase_index: the review-fix worker intentionally left phase metadata
unchanged. After independent root verification, finalization preserved exact
`started_at=2026-08-09T20:42:15+0900`, added
`completed_at=2026-08-09T21:14:47+0900`, and updated the summary to state
the corrected full-residual reaction contract.
- evidence_hygiene: an initial parallel VERIFY/audit wrapper terminated before
product commands because its PowerShell count expression was malformed. It
is excluded from TDD and product VERIFY evidence; the recorded evidence is
the subsequent uncontended serial build, targeted, discovery, full sequence
followed by a separate successful audit command.
- concerns: none; no upstream-contract conflict or critical blocker remains.
<a id="implementation-report--step-24-review-fix-round-1--option-token-output-rejection"></a>
#### Step 24 Review Fix Round 1 — option-token output rejection
- review_trigger: the approved CLI contract classifies repeated `--output`
and every unknown option as usage error exit 2. The original three-argument
parser treated the value position as an arbitrary nonempty path, so an
option token could advance into input analysis instead.
- RED-repeated-option: after adding
`{missingInput,"--output","--output"}` to the existing exact
`LinearStaticCli.ReturnsEveryExactExitCodeAndOrderedDiagnostic` test,
`cmake --build .harness/build --config Debug --target
fesa_integration_tests` exited 0 and the focused CTest exited 1. Actual exit
was 3 and stderr contained no `cli-usage`, rather than expected exit 2.
- GREEN-repeated-option: rejecting the literal repeated token made the same
focused test pass 1/1.
- RED-unknown-option: the reviewer then identified the general unknown-option
case. Adding `{missingInput,"--output","--bogus"}` before broadening the
production condition again produced build exit 0 and focused CTest exit 1;
actual exit was 3 with no `cli-usage`.
- production_fix: explicit output form now requires a nonempty third argument
that does not begin with `-`. Both a repeated known option and an unknown
option token are rejected before any input or output access, while ordinary
output paths retain the approved behavior.
- GREEN-focused: rebuilding `fesa_integration_tests` exited 0 under `/W4 /WX`;
the unchanged exact focused test passed 1/1 with both option cases pinned.
- independent_review: Critical 0, unresolved Important 0. The reviewer reran
exact Step 24 10/10, discovery 83, full 83/83, comparison 176 rows/16
metrics passed, and reference diff/status clean.
- remaining_minor: the test-only comparator independently pins float64 result
file types but relies on the Step 23 writer self-check/full-suite schema test
for exact uint64 endianness and every compound member file dtype/UTF-8. This
is defense-in-depth negative coverage, not a reproducible approved-pipeline
false pass.
- remaining_minor: the inherited diagnostic sorter is not a literal
implementation of future multi-source declaration/internal-ID ordering, but
no V0 single-input CLI misordering is reproducible.
- remaining_minor: the Step 23 `libmmd.dll` guard remains unconditional across
alternate HDF5 targets; it is correct for the approved shared-HDF5
environment and is an external portability limitation.
@@ -6,7 +6,7 @@
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- source_requirements: `docs/linear-static-3d-euler-beam/requirements.md`
- source_research: `docs/linear-static-3d-euler-beam/research.md`
- approved_design: `docs/superpowers/specs/2026-08-08-linear-static-3d-euler-beam-design.md`
- approved_design: `docs/development-history.md`
- status: `pass-for-implementation-planning`
- owner_agent: `numerical-review-agent`
- date: `2026-08-09`
@@ -1,268 +0,0 @@
# Linear Static 3D Euler Beam Physics Evaluation Report
## Metadata
- feature_id: `linear-static-3d-euler-beam`
- model_id: `cantilever-beam-b33`
- evaluated_head: `d76d052456ec134a98bcd5aa3b3c18a6b0ad6ba4`
- source_reference_verification_report: `docs/linear-static-3d-euler-beam/reference-comparison.md`
- source_reference_model: `docs/linear-static-3d-euler-beam/reference-model.md`
- source_requirement: `docs/linear-static-3d-euler-beam/requirements.md`
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- source_numerical_review: `docs/linear-static-3d-euler-beam/numerical-review.md`
- source_io_definition: `docs/linear-static-3d-euler-beam/io.md`
- status: `pass-for-release-agent`
- owner_agent: `physics-evaluation-agent`
- date: `2026-08-09`
This verdict means that the documented physical checks pass and the Release Agent may audit
release readiness. It does not approve release readiness and does not re-evaluate the Step 26
reference tolerance decision.
## Input Evidence
The reference-verification prerequisite has status `pass-for-physics-evaluation`. Its checked
artifact identity was reproduced before the physics checks and again after the targeted CTest.
| evidence | exact path or identity | status | notes |
| --- | --- | --- | --- |
| reference verification | `docs/linear-static-3d-euler-beam/reference-comparison.md` | pass-for-physics-evaluation | Required gate satisfied. |
| solver HDF5 | `.harness/build/reference/cantilever-beam-b33/results.h5` | present and readable | 25,336 bytes; post-acceptance-run SHA-256 `13ECCF68262C14BBDE0F63667C0F10896ACD40EFEC56E8C9121C298333FD9B6D`. |
| comparison evidence | `.harness/build/reference/cantilever-beam-b33/comparison.json` | present and passing | 128,118 bytes; SHA-256 `258347AEA791D981AEA9B2BCAD85DE5344D4859ECA3692DC5E7AA01A848F8E0D`; `passed=true`, 176 rows, 16 metrics. |
| reference input | `reference/cantilever beam/cantilever beam.inp` | exact read-only artifact | SHA-256 `E406EA9560321B791DB829E03BD24593B9875E0195D35B86BD931EDA122EF3`; `TYPE=B33`. |
| reference displacement | `reference/cantilever beam/cantilever beam displacements.csv` | exact read-only artifact | SHA-256 `7B3312FBC8848E81D9A0FD4FF2B56BC1954636A2C14B5C1CBB269CB9477D3C31`. |
| reference reaction | `reference/cantilever beam/cantilever beam reactions.csv` | exact read-only artifact | SHA-256 `BF30CDB0CD50106885DE14D63492737736C587426EBD787DE4F7EE6AA86DAA23`. |
| reference elemental force | `reference/cantilever beam/cantilever beam elemental forces.csv` | exact read-only artifact | SHA-256 `E5E77FEC0FA9482AE018DBF296E74D396335C7C711BD2E9AA2315247A34290BA`. |
| solver CSV views | N/A | not used | No derived FESA CSV was generated or used. |
| stress reference CSV | N/A by approved contract | not applicable | `S11` is evaluated from HDF5 schema, formulation, and analytical/unit evidence only. |
| targeted physics tests | `.harness/build`, MSVC x64 Debug | pass | Exact Step 27 CTest passed 17/17: EulerBeam3D 10, ResultRecovery 6, B33ReferenceComparison 1. |
Read-only HDF5 inspection confirmed schema `0`, solver `0.1.0`, feature identity, `Step-1` frame
`0`, formulation `B33-3D-Euler-Bernoulli`, source content identity
`fnv1a64:04543464cc970405`, and coordinate convention
`global-cartesian; beam-local=(t,n1,t-cross-n1)`. The file contains 11 nodes at
`(x,y,z)=(0..10,0,0)` m and 10 consecutive one-metre elements. Every element has identity local
axes, so local `(x,y,z)` equals global `(X,Y,Z)` for this model.
The documented physical model is a 10 m cantilever with node 1 fixed in all six DOFs and a
free-end global/local `FZ=-1.0e6 N` at node 11. The section and material are SI:
`E=2.1e11 Pa`, `Iy=I11=0.0833333 m^4`, and the only expected deformation mode is local-`z`
translation with bending about local `y`.
## Physics Checks
All normalized physics criteria below come from the approved `1e-10` residual/equilibrium,
`1e-12` matrix/transform/end-sign, or `1e-9` analytical contracts. They are independent checks of
physical meaning, not a second application of the Abaqus row tolerance.
### 1. global equilibrium
In global Cartesian coordinates, force equilibrium is
`r_F = sum(F_applied) + sum(R)`,
with criterion
`||r_F|| / max(||sum(F_applied)||, ||sum(R)||) <= 1e-10`.
The comparison physics evidence records `sum(F_applied)=[0,0,-1000000] N` and
`sum(R)=[0,0,999999.9999998808] N`. Therefore
`r_F=[0,0,-1.1920928955078125e-7] N`, its norm is
`1.1920928955078125e-7 N`, and the normalized value is
`1.1920928955078125e-13`. Verdict: **pass**.
Moment equilibrium about the global origin is
`r_M = sum(M_applied) + sum(X cross F_applied) + sum(M_reaction) + sum(X cross R_force)`.
The free-end force gives `[0,1.0e7,0] N*m`; the complete HDF5 reaction field gives
`[0,-9999999.999997258,0] N*m`. Thus `r_M=[0,2.7418136596679688e-6,0] N*m`,
with normalized norm `2.7418136596679688e-13` against `1.0e7 N*m`. Verdict: **pass**.
### 2. reaction consistency and true free residual
The constrained reaction contract is `R_c=(K*d-F)_c`. At fixed node 1 the observed global row is
`[RF1,RF2,RF3,RM1,RM2,RM3] = [0,0,1000000.0000008196,0,-10000000.000005051,0]`
in `[N,N,N,N*m,N*m,N*m]`. It opposes the applied `-Z` force and balances its positive origin
moment. Differences from the physical closed-form reactions are `8.195638656616211e-7 N` and
`5.0514936447143555e-6 N*m`, normalized to `8.195638656616211e-13` and
`5.0514936447143555e-13`. Verdict: **pass**.
The reaction dataset intentionally preserves free residuals. The implementation uses
`rho_f = ||(K*d-F)_f||_2 / max(||K*d||_f, ||F||_f)`
with no artificial unit floor. The serialized true free residual norm is
`9.356339321107032e-7 N-equivalent`; the physical free scale is `1.0e6 N`, so
`rho_f=9.356339321107032e-13 <= 1e-10`. The largest observed free force-residual component is
`5.9604644775390625e-7 N`, and the largest free moment-residual component is
`2.0861625671386719e-7 N*m`. Verdict: **pass**.
### 3. displacement direction and rotation sign
For free-end local `Pz=-1.0e6 N`, the documented Euler-Bernoulli solution is
`w(L)=Pz*L^3/(3*E*Iy)`, `theta_y(L)=-Pz*L^2/(2*E*Iy)`.
The expected values are `-0.0190476266666697 m` and `+0.00285714400000046 rad`.
HDF5 gives tip `UZ=-0.019047626666677083 m` and `URY=+0.0028571440000013902 rad`, with relative
errors `3.87e-13` and `3.27e-13`, below the analytical `1e-9` criterion. All non-root `UZ` values
are negative and monotonically increase in magnitude toward the loaded tip; all non-root `URY`
values are positive, as required by `theta_y=-dw/dx`. Verdict: **pass**.
### 4. expected zero and uncoupled symmetry
The fixed-root displacement row is exactly zero in all six components. Across all nodes,
`UX`, `UY`, `URX`, and `URZ` are exactly zero. The only nonzero kinematic components are `UZ` and
`URY`, and the only physical constrained reactions are `RF3` and `RM2`. In the element recovery,
`epsilon0`, `kappa_x`, and `kappa_z`, and the corresponding `N`, `T`, and `Mz`, are exactly zero.
This is the documented uncoupled local-`z` bending symmetry, with no axial, torsional, or
cross-plane leakage. Verdict: **pass**.
### 5. element force, adjacent endpoints, and boundary balance
The HDF5 `end_force_local` rows are outward endpoint actions in
`[FX,FY,FZ,MX,MY,MZ]`; `section_resultant` rows are positive-local-`x` section cuts in
`[N,T,My,Mz]`. With no distributed load,
`F_X=n*N`, `M_X=n*T`, `M_Y=n*My`, `M_Z=n*Mz`,
`F_Y=-n*dMz/dx`, and `F_Z=n*dMy/dx`, where `n=-1` at `xi=-1` and `n=+1` at `xi=+1`.
Observed section `My` is positive and decreases linearly from
`10000000.000005048 N*m` at the root to `2.4286118949223834e-7 N*m` at the free end. The maximum
positive-face `My` mismatch between adjacent unloaded endpoints is
`2.73110345005989e-7 N*m`, normalized to `2.73110345005989e-14` against the model moment scale.
The comparison ledger independently records `endpoint_consistency_passed=true` without averaging.
Adjacent outward actions cancel. The maximum interior `FZ_right+FZ_left` magnitude is
`5.364418029785156e-7 N` (`5.364418029785156e-13` normalized); the maximum interior
`MY_right+MY_left` magnitude is `2.682209014892578e-7 N*m`
(`2.682209014892578e-14` normalized). Both satisfy the documented end-sign/residual criteria.
At the root, the first element action is exactly the constrained reaction evidence:
`FZ=+1000000.0000008196 N`, `MY=-10000000.000005051 N*m`. At the free boundary, the last element
has `FZ=-999999.9999998808 N` and `MY=-5.9604644775390625e-8 N*m`, balancing the applied end force
and the zero applied end moment to normalized residual scale. Verdict: **pass**.
### 6. local/global mapping and section-force signs
Every stored local-axis matrix is the identity. Therefore the global `-Z` load is local
`Pz=-1.0e6 N`, `UZ=w<0`, `URY=theta_y>0`, and the positive-face section resultant is
`My=-Pz*(L-x)>0`. The observed outward signs are `FZ>0, MY<0` at left endpoints and
`FZ<0, MY>0` at right endpoints, except for the physically zero free-end moment residue. These
values satisfy the documented `theta_y=-w'`, `My=-E*Iy*w''`, outward-normal, and
positive-face-section-cut conventions. Verdict: **pass**.
### 7. stress location, unit, and sign sanity
The stress contract is
`S11(xi,y,z)=E*(epsilon0 + z*kappa_y - y*kappa_z)`,
where `x1=y`, `x2=z`, the coordinate system is beam local, the unit is `force/length^2`, and the
location is a section point at each of two Gauss points. The reference input has no section
points, so HDF5 correctly contains 20 ordered `fesa-default` centroid rows
`(x1,x2)=(0,0)`, one at each Gauss point of ten elements. This model has pure bending with
`epsilon0=0`; consequently all 20 observed centroid `S11` values are exactly `0 Pa`.
Nonzero location/sign evidence comes only from the approved analytical/unit portfolio, not from
an Abaqus stress comparison. `EulerBeam3D.RecoversSectionPointAndDefaultCentroidS11` passed with
`epsilon0=0.01`, `kappa_y=0.02 1/m`, `kappa_z=-0.03 1/m`, `E=2.1e11 Pa`: the formula gives
`1.575e9 Pa` at `(y,z)=(0.25,-0.5)`, `8.4e8 Pa` at `(-0.4,0.3)`, and `2.1e9 Pa` at the default
centroid. The test enforces the formula at both Gauss points with normalized `1e-12` evidence.
Abaqus beam stress comparison remains explicitly N/A. Verdict: **pass**.
### 8. nonfinite, rigid-body, abnormal-magnitude, and energy symptoms
All mandatory numeric HDF5 rows inspected here are finite; `comparison.json` also records no
nonfinite row among the 176 compared rows and the 20 stress rows are finite. The fixed root is
exactly zero, factorization/solution completed, the normalized free residual is `9.36e-13`, and
the displacement field is smooth, so there is no rigid-body-mode symptom.
For this one-load linear case, the recoverable strain energy is
`U=0.5*F^T*d=9523.81333333854 N*m`, which is finite and positive. The ratios
`|UZ_tip|/L=0.00190476266666771` and `|URY_tip|=0.00285714400000139 rad` agree with the analytical
solution and show no abnormal magnitude relative to the documented small-displacement/rotation
model. The targeted rank/energy test also passed the six-rigid-mode, rank-six, and positive
deformation-energy checks. Verdict: **pass**.
### 9. model coverage
The approved B33 bundle is one identity-axis local-`z` bending cantilever. It directly covers the
end-to-end parser/solver/HDF5 path, global equilibrium, reaction sign, `UZ/URY`, `My/FZ`, endpoint
continuity, and the centroid stress fallback. It does not by itself cover axial, torsion, local-`y`
bending, rotated space, nonzero fiber stress, prescribed displacement, or the formulation-only
line-load kernel. The targeted analytical/unit portfolio supplies the documented complementary
coverage:
| coverage | targeted passing evidence | criterion |
| --- | --- | --- |
| axial, torsion, both bending planes | `EulerBeam3D.AnalyticalAxialTorsionAndTwoPlaneBendingRecover` and `ResultRecovery.MatchesAxialTorsionAndTwoPlaneEndSigns` | analytical relative `1e-9`; signed recovery contract |
| rotated local/global mapping | `EulerBeam3D.RotatedTransformPreservesWorkAndEnergy` | transform/work/energy normalized `1e-12` |
| constant local line-load kernel | `EulerBeam3D.ConstantLineLoadMatchesAllSignedComponents` | all 12 signed components normalized `1e-12`; `*DLOAD` remains outside CLI scope |
| rigid modes, rank, and energy | `EulerBeam3D.HasSixRigidModesRankSixAndPositiveDeformationEnergy` | rigid residual `1e-10`, rank six, positive deformation energy |
| prescribed displacement and residual | `ResultRecovery.ComputesResidualReactionForNonzeroPrescription`, `ResultRecovery.EnforcesNormalizedFreeResidual` | partition/reaction and normalized residual `1e-10` |
| result identity and continuity | `ResultRecovery.KeepsEndActionSectionAndGaussResultsDistinct`, `ResultRecovery.RequiresInteriorEndpointConsistencyWithoutAveraging` | distinct locations and no-average consistency |
| S11 location/sign/default | `EulerBeam3D.RecoversSectionPointAndDefaultCentroidS11`, `ResultRecovery.OrdersStressPointsAndDefaultCentroid` | formula/schema normalized `1e-12` |
The exact acceptance command passed all 17 selected tests. The single reference model plus this
analytical portfolio covers every documented physical expectation without attributing unsupported
coverage to the legacy CSV bundle. Verdict: **pass**.
## Failure Classification
- classification: `N/A`
- primary_failure: `N/A`
- evidence: all documented physics checks passed; no equilibrium, reaction, displacement,
symmetry, element-force, stress-location, rigid-body, nonfinite, coverage, contract, or
environment failure was found
- correction_handoff: `N/A`
## Evaluation Verdict
- verdict: `pass-for-release-agent`
- reason: the exact reference gate and artifact identity are valid; force and origin-moment
equilibrium, constrained reaction consistency, true free residual, deformation signs, expected
zeros, element force balance, local/global and section-force signs, S11 schema/analytical sanity,
finite/energy/mode checks, and complementary model coverage all satisfy their documented criteria
- release_approval: `not granted by this report`
## Handoff Recommendation
| target_agent | reason | required_input |
| --- | --- | --- |
| Release Agent | All documented physical checks passed. | This report, the Step 26 reference-verification report, exact build-local HDF5/comparison identities, targeted CTest evidence, and the limitations below. |
## No-Change Assertion
- source_files_modified: `false`
- test_files_modified: `false`
- cmake_files_modified: `false`
- requirements_modified: `false`
- formulations_modified: `false`
- numerical_review_modified: `false`
- io_contract_modified: `false`
- reference_model_contract_modified: `false`
- reference_verification_report_modified: `false`
- reference_artifacts_modified: `false`
- tolerance_policies_modified: `false`
- Abaqus_or_other_reference_solver_executed: `false`
- owned_report_created: `true`
- phase_index_step27_modified: `true`
- notes: HDF5, comparison JSON, and legacy reference artifacts were inspected read-only; the only
generated files were the ignored build-local evidence regenerated by the exact approved CTest.
## Open Issues
- Non-blocking coverage limitation: the approved Abaqus bundle is one identity-axis local-`z`
bending cantilever. Axial, torsion, local-`y`, rotated, prescribed-displacement, line-load, and
nonzero stress checks rely on the approved analytical/unit portfolio; no broader Abaqus reference
coverage is claimed.
- Non-blocking stress limitation: the B33 bundle has no section points, so its physical `S11`
evidence is the correct zero centroid result. Nonzero fiber location/sign evidence is analytical;
Abaqus beam stress comparison remains N/A.
- Non-blocking output limitation: HDF5 has no strain-energy dataset by contract. The positive energy
value in this report is calculated from `0.5*F^T*d` and is supported by the rank/energy unit test.
- Known formulation limitations remain: Euler-Bernoulli deep-beam applicability, transverse and
torsional shear stress, warping, `I12!=0`, B31/Timoshenko behavior, and CLI `*DLOAD` are outside V0.
- No open issue blocks Release Agent review.
@@ -1,331 +0,0 @@
# Linear Static 3D Euler Beam Reference Verification Report
## Metadata
- feature_id: `linear-static-3d-euler-beam`
- model_id: `cantilever-beam-b33`
- source_head: `451d9077ea70e3087454db3760e677da0095d27f`
- source_build_test_report: `docs/linear-static-3d-euler-beam/build-test.md`
- source_reference_models: `docs/linear-static-3d-euler-beam/reference-model.md`
- source_io_definition: `docs/linear-static-3d-euler-beam/io.md`
- source_implementation_plan: `docs/linear-static-3d-euler-beam/implementation-plan.md`
- source_implementation_report: `docs/linear-static-3d-euler-beam/implementation-report.md`
- historical_status: `pass-for-physics-evaluation`
- current_status: `pass-for-physics-evaluation`
- superseded_on: `2026-08-18`
- revalidated_on: `2026-08-18`
- owner_agent: `reference-verification-agent`
- date: `2026-08-09`
- review_fix_date: `2026-08-10`
The 2026-08-09 evidence below is preserved as a historical record of the former 11-station,
component-scale comparison. ADR-022 and the regenerated 20-row element-endpoint CSV supersede
that identity and tolerance. The following revalidation is the current reference-gate evidence.
## 2026-08-18 Common-policy Revalidation
`cmake --build .harness/build --config Debug` passed, followed by
`ctest --test-dir .harness/build -C Debug --output-on-failure`: 214/214 tests passed.
The B33 reference test generated
`.harness/build/reference/cantilever-beam-b33/comparison.json` from the exact read-only
reference paths.
- exact canonical rows: 212 = 66 displacement + 66 reaction + 80 direct element-endpoint
section-resultant rows
- exact families: 6; all row gates and family RMS gates passed
- direct section identity: 20 endpoint rows, 10 B33 elements x 2 connectivity-matched endpoints
- warnings, identity/schema/nonfinite failures: 0
- overall verdict: `passed=true`
| family | rows | scale | near-zero rows | max absolute error | scale-relative RMS |
| --- | ---: | ---: | ---: | ---: | ---: |
| translation `UX/UY/UZ` | 33 | `1.90476272e-2` | 23 | `5.333229170789711e-10` | `8.459623217000381e-9` |
| rotation `URX/URY/URZ` | 33 | `2.85714399e-3` | 23 | `1.000013943180944e-10` | `1.1723557271997219e-8` |
| reaction force `RF1/RF2/RF3` | 33 | `1.0e6` | 32 | `8.195638656616211e-7` | `2.0922817757699256e-13` |
| reaction moment `RM1/RM2/RM3` | 33 | `1.0e7` | 32 | `5.0514936447143555e-6` | `8.811160558471221e-14` |
| section force `N` | 20 | `0` | 20 | `0` | `0` |
| section moment `T/My/Mz` | 60 | `1.0e7` | 41 | `1.2499958951957524e-1` | `2.2910664449287597e-9` |
All values above come from the generated JSON ledger. The historical report body starts below
and must not be read as the current identity/tolerance evidence.
The prerequisite build/test report has status
`pass-for-reference-verification`. This report applies only the approved Abaqus
B33 reference tolerance. It does not approve physics sanity or release readiness.
## Artifact Inventory
The approved B33 exception overrides the generic new-bundle inventory. The exact
four legacy files with spaces are the complete read-only reference bundle;
`metadata.json` is absent-allowed under project-wide policy, while `README.md` and a
stress CSV are contractually N/A and are not missing artifacts.
| item | exact path | status | direct audit evidence |
| --- | --- | --- | --- |
| reference directory | `reference/cantilever beam/` | present, exact inventory | Four regular files only; no extra entry. |
| reference input | `reference/cantilever beam/cantilever beam.inp` | present, valid | 2,330 bytes; exactly one `*ELEMENT, TYPE=B33` declaration at line 21. |
| displacement CSV | `reference/cantilever beam/cantilever beam displacements.csv` | present, valid | Exact 9-column CAE header; 11 unique rows; 66 finite values. |
| reaction CSV | `reference/cantilever beam/cantilever beam reactions.csv` | present, valid | Exact 9-column CAE header; 11 unique rows; 66 finite values. |
| elemental-force CSV | `reference/cantilever beam/cantilever beam elemental forces.csv` | present, valid | Exact 7-column CAE header; 11 unique rows; 44 finite values. |
| optional metadata | `reference/cantilever beam/metadata.json` | absent-allowed | Approved design, ADR-010, I/O definition, and reference-model contract supply provenance; absence is not a missing artifact. |
| legacy README | `reference/cantilever beam/README.md` | N/A | Approved B33 legacy exception. |
| reference stress CSV | N/A | N/A | Abaqus beam-stress comparison is outside the approved V0 scope. |
| authoritative solver output | `.harness/build/reference/cantilever-beam-b33/results.h5` | present, valid | 25,336 bytes; generated by the fresh exact CTest; HDF5 schema inspected read-only with HDF5 2.1.1 utilities. |
| comparison ledger | `.harness/build/reference/cantilever-beam-b33/comparison.json` | present, valid | 128,118 bytes; 176 row decisions, 16 component metrics, and `passed=true`. |
| solver debug CSV view | N/A | N/A | No derived FESA CSV was generated or used. |
### Reference hashes
Fresh pre-comparison and post-comparison SHA-256 values were identical:
| exact approved legacy path | SHA-256 |
| --- | --- |
| `reference/cantilever beam/cantilever beam.inp` | `E406EA9560321B791DBDB829E03BD24593B9875E0195D35B86BD931EDA122EF3` |
| `reference/cantilever beam/cantilever beam displacements.csv` | `7B3312FBC8848E81D9A0FD4FF2B56BC1954636A2C14B5C1CBB269CB9477D3C31` |
| `reference/cantilever beam/cantilever beam reactions.csv` | `BF30CDB0CD50106885DE14D63492737736C587426EBD787DE4F7EE6AA86DAA23` |
| `reference/cantilever beam/cantilever beam elemental forces.csv` | `E5E77FEC0FA9482AE018DBF296E74D396335C7C711BD2E9AA2315247A34290BA` |
`git diff --exit-code -- reference/` exited 0 and
`git status --short -- reference/` was empty after both comparison runs.
### Authoritative HDF5 audit
`h5ls` and `h5dump` opened `results.h5` read-only and established:
- schema version `0`, solver version `0.1.0`, feature
`linear-static-3d-euler-beam`, formulation `B33-3D-Euler-Bernoulli`,
`Step-1`, and frame `0`;
- metadata unit label `user-consistent-unspecified`, as required for ordinary
`.inp` interpretation; the approved reference-model contract supplies the
external SI provenance used by this comparison;
- coordinate convention
`global-cartesian; beam-local=(t,n1,t-cross-n1)`;
- source identity
`path=C:/Users/baram/orca/workspaces/FESADev/LinearStatic/reference/cantilever beam/cantilever beam.inp;content_identity=fnv1a64:04543464cc970405`;
a fresh FNV-1a calculation of the input bytes reproduced
`04543464cc970405`;
- 11 nodes with stable internal IDs 0 through 10, source labels 1 through 11,
instance `PART-1_1-1`, global coordinates `(0..10,0,0)`;
- 10 elements with stable IDs 0 through 9, source labels 1 through 10,
consecutive connectivity and identity local axes;
- displacement and reaction shapes `[11,6]`, section-resultant shape
`[10,2,4]`, exact component/unit/coordinate/location attributes, and finite
float64 values;
- mandatory `stress_s11` compound schema with 20 finite rows (10 elements x 2
Gauss points), `S11`, `force/length^2`, beam-local section-point attributes,
and the required `fesa-default` centroid identity.
Only `results.h5` and `comparison.json` exist in the build-local evidence
directory.
## Comparison Contract
- reference_csv_schema_version: `abaqus-cae-report-csv-v0`
- hdf5_schema_version: `0`
- model / frame normalization: CSV
`Increment 1: Step Time = 1.000` -> `(cantilever-beam-b33, Step-1, frame 0)`
- id_matching: exact preserved `instance_name` plus source node label;
section-resultant endpoints project to an eligible source-node station
- row-set policy: expected canonical keys are all 11 nodes crossed with 6
displacement, 6 reaction, and 4 section-resultant components
- displacement normalization:
`U-U1/U-U2/U-U3/UR-UR1/UR-UR2/UR-UR3` ->
`UX/UY/UZ/URX/URY/URZ`
- reaction normalization:
`RF-RF1/RF-RF2/RF-RF3/RM-RM1/RM-RM2/RM-RM3` ->
`RF1/RF2/RF3/RM1/RM2/RM3`
- section normalization: `SF-SF1 -> N`, `SM-SM1 -> My`,
`SM-SM2 -> Mz`, `SM-SM3 -> T`
- coordinates: global Cartesian for nodal quantities; beam local for section
resultants
- output locations: nodal displacement/reaction and positive-local-x endpoint
section cut projected to node station
- interior-node policy: both incident endpoints must first pass the approved
component tolerance; the smaller stable element ID is selected without
averaging
- tolerance source: requirements 036-039, ADR-014, approved I/O definition,
and reference-model contract
- tolerance policy: `absolute_floor + 1e-6 * reference_scale`
- reference scale: maximum absolute value from read-only Abaqus rows in the
same model, step/frame, quantity, and component only
- SI floors: `1e-9` for displacement/rotation and `1e-3` for force/moment;
zero scale uses the floor alone
- fail-before-tolerance conditions: missing, extra, duplicate, nonfinite,
schema-mismatched, or identity-mismatched row
- zero-reference policy: no zero clamp, deletion, substitution, or omission
The complete expected set of 176 canonical keys was reconstructed independently
from the contract and matched the 176 unique ledger rows exactly. The 16 expected
quantity/component keys matched the 16 unique metrics. Every serialized absolute
error, tolerance, pass decision, Abaqus-only reference scale, maximum error,
maximum tolerance-normalized error, RMS error, norm error, and worst-row index was
recalculated from the row ledger and matched exactly. Missing rows, extra rows,
duplicate rows, nonfinite rows, and failed rows were all zero.
The authoritative TASK-24 `ComparisonReport`, test contract, serialized JSON, and
Step 26 acceptance probe all define the verdict as the boolean `passed`. Final
review reproduced that the former `$metrics.status` sample failed against the valid
artifact, corrected the phase probe to `$metrics.passed -eq $true`, and reran the
exact acceptance chain successfully. The generated JSON has `passed=true`.
## Execution Evidence
The exact command was run twice after the artifact precheck:
```powershell
ctest --test-dir .harness/build -C Debug -R B33ReferenceComparison -V --output-on-failure
```
Both executions passed the single exact test
`B33ReferenceComparison.GeneratesAuthoritativeHdf5AndComparisonEvidence` 1/1.
Each run reset only `.harness/build/reference/cantilever-beam-b33/` and regenerated
the same two build-local files. The comparison ledger was byte deterministic on
both runs:
- size: `128118` bytes
- SHA-256: `258347AEA791D981AEA9B2BCAD85DE5344D4859ECA3692DC5E7AA01A848F8E0D`
- verdict: `passed=true`
`results.h5` remains the authoritative solver output. The JSON is deterministic
review evidence derived directly from HDF5 and the read-only Abaqus CSV rows.
## Quantity Results
`maximum_relative_error` below is calculated only where the Abaqus reference is
nonzero. It is reported for audit completeness, but it is not the acceptance
rule: near-zero Abaqus residues make row-relative error ill-conditioned. The
approved component-scale normalized error is `absolute_error / row_tolerance`.
| quantity | FESA HDF5 dataset | reference CSV | compared | missing | extra | nonfinite | max abs error | max relative error | max tolerance-normalized error | RMS error | norm error | worst ID/component by abs error | result |
| --- | --- | --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | --- | --- |
| displacement | `/steps/Step-1/frames/0/nodal/displacement` | `reference/cantilever beam/cantilever beam displacements.csv` | 66 | 0 | 0 | 0 | `5.333229170789711e-10` | `1.0` | `0.026602795021994977` | `1.1637590907608428e-10` | `9.454423547085314e-10` | node 11 / `UZ` | pass |
| reaction | `/steps/Step-1/frames/0/nodal/reaction` | `reference/cantilever beam/cantilever beam reactions.csv` | 66 | 0 | 0 | 0 | `5.0514936447143555e-6` | `8.195638656616211e-13` | `8.187451205410801e-7` | `6.403678373262425e-7` | `5.202372903532068e-6` | node 1 / `RM2` | pass |
| section resultant | `/steps/Step-1/frames/0/element/section_resultant` | `reference/cantilever beam/cantilever beam elemental forces.csv` | 44 | 0 | 0 | 0 | `1.5600242861189492e-2` | `1.0000155680249674` | `0.0015598682992890203` | `0.0023518254339534184` | `0.015600245073676508` | node station 11 / `My` | pass |
| stress | `/steps/Step-1/frames/0/element/stress_s11` | N/A | N/A | N/A | N/A | 0 in 20 mandatory HDF5 rows | N/A | N/A | N/A | N/A | N/A | N/A | N/A for Abaqus comparison; HDF5 requirement passed |
The displacement row-relative maximum occurs at node 1 `UZ`, where the stored
reference residue is `-1e-30`; the section row-relative maximum occurs at free-end
`My`, where the stored reference residue is `-1.56e-2`. Neither row was clamped or
omitted. Their approved mixed-tolerance decisions pass.
### Component metrics
Each group contains 11 matched rows. `worst_row` is the zero-based index in the
deterministic JSON row ledger.
| quantity | component | reference scale | row tolerance | max abs error | max normalized error | RMS error | norm error | worst row | worst identity | result |
| --- | --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | --- | --- |
| displacement | `UX` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 0 | node 1 / `UX` | pass |
| displacement | `UY` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 1 | node 1 / `UY` | pass |
| displacement | `UZ` | `0.0190476272` | `2.00476272e-8` | `5.333229170789711e-10` | `0.026602795021994977` | `2.790953046857666e-10` | `9.256544063926071e-10` | 62 | node 11 / `UZ` | pass |
| displacement | `URX` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 3 | node 1 / `URX` | pass |
| displacement | `URY` | `0.00285714399` | `3.85714399e-9` | `1.000013943180944e-10` | `0.025926279801157852` | `5.801658540511775e-11` | `1.924192454063848e-10` | 52 | node 9 / `URY` | pass |
| displacement | `URZ` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 5 | node 1 / `URZ` | pass |
| reaction | `RF1` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 66 | node 1 / `RF1` | pass |
| reaction | `RF2` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 67 | node 1 / `RF2` | pass |
| reaction | `RF3` | `1e6` | `1.001` | `8.195638656616211e-7` | `8.187451205410801e-7` | `3.6239383393839433e-7` | `1.2019243735120167e-6` | 68 | node 1 / `RF3` | pass |
| reaction | `RM1` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 69 | node 1 / `RM1` | pass |
| reaction | `RM2` | `1e7` | `10.001` | `5.0514936447143555e-6` | `5.05098854585977e-7` | `1.5261377760919117e-6` | `5.061626381684292e-6` | 70 | node 1 / `RM2` | pass |
| reaction | `RM3` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 71 | node 1 / `RM3` | pass |
| section resultant | `N` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 132 | node 1 / `N` | pass |
| section resultant | `T` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 133 | node 1 / `T` | pass |
| section resultant | `My` | `1e7` | `10.001` | `0.015600242861189492` | `0.0015598682992890203` | `0.004703650867906837` | `0.015600245073676508` | 174 | node 11 / `My` | pass |
| section resultant | `Mz` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 135 | node 1 / `Mz` | pass |
The largest normalized comparison error across all 176 rows is
`0.026602795021994977` at node 11 `UZ`, below the pass boundary of `1.0`.
### Row decision ledger
Every row decision is recorded in the deterministic build-local
`comparison.json` identified above. Its stable row order is displacement nodes
1-11 x six components, reaction nodes 1-11 x six components, then section node
stations 1-11 x `[N,T,My,Mz]`. Independent parsing confirmed:
- rows: 176
- unique canonical row keys: 176
- row decisions with `passed=true`: 176
- row decisions with `passed=false`: 0
- finite FESA/reference/error/tolerance records: 176
- missing / extra / duplicate / identity-mismatched rows: 0 / 0 / 0 / 0
- metrics: 16 unique expected component groups
## Stress Reference Status
- Abaqus stress reference comparison: N/A
- reason: the approved V0 reference contract excludes beam-stress CSV
comparison and substitutes analytical/unit plus HDF5 schema evidence
- mandatory solver stress output: pass
- direct evidence: `stress_s11` exists with the exact compound schema, exact
unit/coordinate/location attributes, two Gauss rows for each of ten elements,
finite `S11`, and deterministic element/Gauss ordering
No stress reference row was synthesized, and mandatory HDF5 stress was not
treated as optional.
## Physics Evidence Handoff
The comparator serialized the following evidence for independent Step 27 review:
| evidence | value |
| --- | --- |
| free residual norm | `9.356339321107032e-7` |
| applied force | `[0, 0, -1000000]` |
| reaction force | `[0, 0, 999999.9999998808]` |
| applied moment about origin | `[0, 10000000, 0]` |
| reaction moment about origin | `[0, -9999999.999997258, 0]` |
| endpoint consistency | `passed=true` |
These values are handed off as evidence only. This Step does not interpret them
as a physics-sanity verdict.
## Failure Classification
- classification: `N/A`
- primary_failure: `N/A`
- evidence: artifact precheck passed; exact comparison CTest passed twice;
176/176 rows and 16/16 metric groups passed; no schema, identity, unit,
coordinate, nonfinite, missing/extra, or tolerance failure was found
- correction_handoff: `N/A`
## Handoff Recommendation
| target_agent | reason | required input |
| --- | --- | --- |
| Physics Evaluation Agent | All required reference comparisons passed the exact approved tolerance. | This report, authoritative build-local `results.h5`, deterministic `comparison.json`, and its `physics_evidence`. |
The handoff status is `pass-for-physics-evaluation` only. Physics sanity remains
responsible for global force/moment equilibrium, reaction sign, displacement
direction, symmetry, section-force consistency, residual interpretation, and
model-coverage adequacy.
## No-Change Assertion
- source_files_modified: `false`
- test_files_modified: `false`
- cmake_files_modified: `false`
- requirements_modified: `false`
- formulations_modified: `false`
- io_contract_modified: `false`
- reference_model_contract_modified: `false`
- reference_artifacts_modified: `false`
- tolerance_policies_modified: `false`
- Abaqus_or_other_reference_solver_executed: `false`
- owned_report_created: `true`
- phase_index_step26_modified: `true`
- phase_step26_acceptance_modified_for_review_fix: `true`
- phase_index_step26_summary_modified_for_review_fix: `true`
- generated_build_local_evidence: `true`, ignored under `.harness/build/`
- notes: comparison and HDF5 inspection were read-only with respect to the
approved reference bundle; the final review fix changed only acceptance/report/index
documentation, and pre/post hashes, Git diff, and Git status agree
## Open Issues
- Non-blocking evidence typo: the Step 25 build/test report prints the input
SHA-256 without the second `DB` after `...1DB`; the fresh 64-character pre/post
value in this report matches the unchanged working-tree file. Reference Git
diff/status and the end-to-end reference snapshot check are clean.
- Resolved final-review finding: the Step 26 acceptance probe now reads the
authoritative boolean `passed`, and its exact command passes on the current artifact.
- No issue blocks Physics Evaluation.
@@ -8,7 +8,7 @@
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- source_numerical_review: `docs/linear-static-3d-euler-beam/numerical-review.md`
- source_io_definition: `docs/linear-static-3d-euler-beam/io.md`
- approved_design: `docs/superpowers/specs/2026-08-08-linear-static-3d-euler-beam-design.md`
- approved_design: `docs/development-history.md`
- status: `ready-for-implementation-planning`
- owner_agent: `reference-model-agent`
- date: `2026-08-09`
+12 -205
View File
@@ -1,20 +1,24 @@
# Linear Static 3D Euler Beam Release Report
본 문서는 당시 revision의 검증·판정 기록이다. 본문에 남긴 원본 보고서 이름과 SHA-256은
통합 전 자료의 식별자이며 정리된 현재 파일의 byte hash를 뜻하지 않는다. 원문은 Git
`858e87b`의 해당 기능 폴더에서 확인할 수 있다. 현재 진입점과 대응 기록은 [README](README.md)를 따른다.
## Metadata
- feature_id: `linear-static-3d-euler-beam`
- approved_design: `docs/superpowers/specs/2026-08-08-linear-static-3d-euler-beam-design.md` (`status: approved`; approved 2026-08-08, amended 2026-08-09)
- approved_design: `docs/development-history.md` (`status: approved`; approved 2026-08-08, amended 2026-08-09)
- source_requirement: `docs/linear-static-3d-euler-beam/requirements.md`
- source_research: `docs/linear-static-3d-euler-beam/research.md`
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- source_numerical_review: `docs/linear-static-3d-euler-beam/numerical-review.md`
- source_io_definition: `docs/linear-static-3d-euler-beam/io.md`
- source_reference_model: `docs/linear-static-3d-euler-beam/reference-model.md`
- source_implementation_plan: `docs/linear-static-3d-euler-beam/implementation-plan.md`
- source_implementation_report: `docs/linear-static-3d-euler-beam/implementation-report.md`
- source_build_test_report: `docs/linear-static-3d-euler-beam/build-test.md`
- source_reference_verification_report: `docs/linear-static-3d-euler-beam/reference-comparison.md`
- source_physics_evaluation_report: `docs/linear-static-3d-euler-beam/physics-evaluation.md`
- source_implementation_plan: `docs/linear-static-3d-euler-beam/README.md`
- source_implementation_report: `docs/linear-static-3d-euler-beam/lessons.md`
- source_build_test_report: `docs/linear-static-3d-euler-beam/verification.md`
- source_reference_verification_report: `docs/linear-static-3d-euler-beam/verification.md`
- source_physics_evaluation_report: `docs/linear-static-3d-euler-beam/verification.md`
- audited_head: `822b06be3d2128d5dfdc5e394078abbb9dcd5a50`
- reference_model_id: `cantilever-beam-b33`
- reference_schema: `abaqus-cae-report-csv-v0`
@@ -22,7 +26,6 @@
- historical_status: `ready-for-release`
- current_status: `superseded-pending-revalidation`
- superseded_on: `2026-08-18`
- owner_agent: `release-agent`
- date: `2026-08-10`
- final_review_source_head: `b7a1258ce0f36a85b888e23470cf9d936a7595cd`
@@ -33,140 +36,6 @@ verdict may be issued.
This is an internal feature-readiness verdict. It authorizes no publish, deploy, package, tag,
push, external release, or reference-artifact operation.
## Release Scope
| item | included | excluded | notes |
| --- | --- | --- | --- |
| analysis | one small-displacement/small-rotation `*STEP, *STATIC` linear solve | multiple steps; geometric/material nonlinearity; dynamics; contact; thermal | Stiffness/partition and `Kff` factorization precede load assembly, effective RHS, and substitution. |
| element | straight, prismatic, two-node 3D Euler-Bernoulli beam mapped only from `TYPE=B33` | `TYPE=B31`, shear-deformable/Timoshenko, curved/tapered/released/offset/warping members | Axial, two-plane bending, and Saint-Venant torsion are included. |
| material/section | homogeneous isotropic linear elasticity; positive `E,G,A,Iy,Iz,J`; `I12=0` | `I12!=0`, anisotropy, plasticity, temperature dependence, warping data | Mapping is `n1 -> local y`, `t x n1 -> local z`, `Iy=I11`, `Iz=I22`. |
| Abaqus input subset | approved keyword inventory, identity part/assembly/instance wrappers, `*BOUNDARY`, nodal `*CLOAD` | full compatibility, instance transforms, nested assembly, dependent/independent mesh semantics, `*DLOAD` | Approved output-request allowlist is warning no-op and cannot filter FESA output. |
| solver/storage | deterministic COO-to-0-based-CSR, oneTBB element-local work, oneMKL PARDISO SPD factorization/substitution | alternate solver claims, automatic regularization, unsupported conditioning policy | Backend types remain behind adapters. |
| authoritative output | HDF5 `results.h5`: displacement, reaction, equilibrium end action, section/generalized results, axial `S11`, metadata, diagnostics | official FESA CSV output; transverse/torsional shear stress; warping stress; nodal stress averaging | Beam stress reference comparison is N/A; `S11` remains mandatory and is analytically/schema tested. |
| reference comparison | exact read-only legacy B33 four-file bundle; displacement, reaction, section resultant | Abaqus stress CSV; broad B33 compatibility; reference solver execution | 176/176 rows and 16/16 metrics passed the approved mixed tolerance. |
## Gate Evidence Inventory
| gate | source | expected status | observed status/evidence | verdict |
| --- | --- | --- | --- | --- |
| approved design | approved design | `approved` | `approved`; same feature and legacy baseline | pass |
| requirements | requirements baseline | `approved` | `approved`; 44 consecutive `must` rows | pass |
| research | research brief | `ready-for-formulation` | `ready-for-formulation`; applicability limits retained | pass |
| formulation | formulation document | `ready-for-numerical-review` | `ready-for-numerical-review`; exact requirement/design links | pass |
| numerical review | numerical review | `pass-for-implementation-planning` | `pass-for-implementation-planning`; no confirmed mathematical defect | pass |
| I/O definition | I/O contract | `ready-for-implementation-planning` | `ready-for-implementation-planning` | pass |
| reference model | reference-model contract | `ready-for-implementation-planning` | legacy inventory/provenance and analytical portfolio defined | pass |
| implementation plan | implementation plan | `ready-for-implementation` | `ready-for-implementation`; TASK-07 through TASK-24 defined | pass |
| implementation evidence | implementation report plus phase index | all Step 7-24 blocks completed | 18/18 Step blocks and index entries `completed`; final cumulative suite 83 tests | pass with stale-header note below |
| build/test | build/test report | `pass-for-reference-verification` | `pass-for-reference-verification`; fresh MSVC x64 Debug build, warning count 0, 83/83 | pass |
| reference verification | reference-verification report | `pass-for-physics-evaluation` | `pass-for-physics-evaluation`; 176/176 rows and 16/16 metrics | pass |
| physics evaluation | physics-evaluation report | `pass-for-release-agent` | `pass-for-release-agent`; all documented physics checks and 17/17 targeted tests pass | pass |
| phase sequence | phase index | Steps 0-27 `completed` | 28/28 prerequisite entries completed in gate order | pass |
### Identity and contradiction audit
- All feature-level reports use `linear-static-3d-euler-beam`, the same approved design path,
authoritative HDF5 contract, logical model `cantilever-beam-b33`, legacy schema, and exact
`reference/cantilever beam/` baseline from `2b34d0b`.
- The formulation metadata uses the narrower element-document identity
`3d-isoparametric-euler-beam`. This is not a competing release feature: it names the exact
formulation path referenced by the approved feature requirements, design, numerical review,
I/O contract, reference-model contract, and implementation plan. Its `source_requirement` and
`approved_design` links establish the same release lineage.
- The implementation report aggregate metadata still says `status: in-progress`. This is a stale
aggregate header, not an unresolved release gate: every TASK-07 through TASK-24 block is
`completed`, all corresponding phase-index entries are `completed`, Step 25 independently audited
all 18 blocks, and a fresh build/discovery/full CTest passed 83/83. The Step 25 report reaches the
same explicit nonblocking conclusion. The upstream implementation report was not modified.
- Final review reproduced that the former Step 26 sample acceptance probe rejected a valid
`passed=true` artifact because it read a nonexistent string `status`. The phase probe now reads
the authoritative boolean `passed`; its exact command was rerun successfully without changing
source, tests, tolerance, or reference artifacts.
- The Step 25 prose contains a typo in the input SHA-256. Fresh Step 26/27 hashes, Git diff/status,
exact row reconstruction, and passing comparison evidence preserve artifact identity.
## Acceptance Traceability
Evidence aliases used below are exact upstream identities: `BT25` is the build/test report;
`RV26` is the reference-verification report; `PE27` is the physics-evaluation report. Model IDs
(`an-*`, `cv-*`, `neg-b33-input-contract`, `cantilever-beam-b33`) and `NR-T01` through `NR-T11`
are defined by the approved reference-model and numerical-review documents. Every row has priority
`must` in the approved Requirement Verification Matrix.
| requirement | acceptance criterion | exact test/evidence IDs | reference or analytical evidence | final disposition |
| --- | --- | --- | --- | --- |
| `FESA-REQ-LS3DEB-001` | One static step runs; a second step is rejected structurally. | `T12-MAP-001`, `T12-MAP-004`, `T13-MODEL-003`, `T24-CLI-001` | `smoke-b33-cli`; `neg-b33-input-contract`; `BT25` | released-in-V0 |
| `FESA-REQ-LS3DEB-002` | Accepted models obey the straight/prismatic/two-node, small linear-static scope and exclusions are not claimed. | `T12-MAP-001`, `T12-MAP-004`, `T16-BEAM-006`, `T24-ORCH-002` | `CB-AXIAL-TIP`, `CB-TORSION-TIP`, both bending candidates; `PE27` model coverage | released-in-V0 |
| `FESA-REQ-LS3DEB-003` | DOF and nodal-result order is exactly `[UX,UY,UZ,URX,URY,URZ]`. | `T14-DOF-001`, `T15-STATE-002`, `T23-HDF5-001` | `cantilever-beam-b33`; `RV26` HDF5 audit | released-in-V0 |
| `FESA-REQ-LS3DEB-004` | Axial, torsion, local-y bending, and local-z bending recover approved analytical quantities. | `T16-BEAM-006`, `T22-RECOVERY-004`, `NR-T08-ANALYTICAL` | `an-b33-axial-cantilever`, `an-b33-torsion-cantilever`, `an-b33-local-y-bending`, `an-b33-local-z-bending`; `PE27` | released-in-V0 |
| `FESA-REQ-LS3DEB-005` | Only B33 creates the approved Euler beam semantic object. | `T12-MAP-001`, `T24-B33-001` | `cantilever-beam-b33`; `RV26` confirms `TYPE=B33` | released-in-V0 |
| `FESA-REQ-LS3DEB-006` | B31 returns exact `unsupported-element-formulation` and creates no Euler beam. | `T12-MAP-004` | `CB-B31-NEGATIVE`; `neg-b33-input-contract` | released rejection behavior; B31 unsupported |
| `FESA-REQ-LS3DEB-007` | DOFs 1..6 map correctly and nonzero `dc` affects RHS and reaction. | `T14-DOF-002`, `T19-CONSTRAINT-003`, `T21-LOAD-001`, `T21-LOAD-003`, `T22-RECOVERY-001` | `an-b33-prescribed-displacement`; `NR-T09-PARTITION-SPD`; `PE27` | released-in-V0 |
| `FESA-REQ-LS3DEB-008` | Closed-form line-load vector passes while parser/CLI `*DLOAD` and Domain distributed load remain absent. | `T16-BEAM-005`, `T12-MAP-005`, `NR-T06-LINE-LOAD` | `an-b33-line-load-kernel`; `PE27` targeted portfolio | released kernel; `*DLOAD` unsupported |
| `FESA-REQ-LS3DEB-009` | Every approved keyword has positive coverage and no unlisted support claim exists. | `T12-MAP-001`, `T12-MAP-004` | `smoke-b33-cli`; exact I/O keyword inventory; legacy input | released approved subset only |
| `FESA-REQ-LS3DEB-010` | Case variants/comments behave correctly and raw source identity survives. | `T11-SYN-001`, `T11-SYN-002`, `T10-DOM-001` | legacy input exact-byte identity `fnv1a64:04543464cc970405`; `RV26` | released-in-V0 |
| `FESA-REQ-LS3DEB-011` | Only approved boundary/load arities and DOFs pass; target expansion is deterministic. | `T12-MAP-001`, `T12-MAP-002`, `T12-MAP-004`, `T14-DOF-002`, `T21-LOAD-001` | analytical load/BC fixtures; invalid-target portfolio | released-in-V0 |
| `FESA-REQ-LS3DEB-012` | Section properties and right-handed local-axis mapping match the contract. | `T12-MAP-001`, `T12-MAP-004`, `T16-BEAM-004`, `NR-T05-TRANSFORM` | both bending models; `an-b33-rotated-space`; `PE27` local/global signs | released-in-V0 |
| `FESA-REQ-LS3DEB-013` | Valid `E,nu`/derived `G` and positive section properties pass; malformed/nonpositive data fails. | `T12-MAP-001`, `T12-MAP-004`, `T16-BEAM-007` | analytical inventory; `neg-b33-input-contract` invalid properties | released-in-V0 |
| `FESA-REQ-LS3DEB-014` | Exact scale-aware length/guide thresholds reject boundary failures and valid geometry gives an orthonormal frame. | `T12-MAP-004`, `T16-BEAM-004`, `T16-BEAM-007`, `NR-T05-TRANSFORM` | `neg-b33-input-contract`; rotated-space analytical model | released-in-V0 |
| `FESA-REQ-LS3DEB-015` | Instance/source labels round-trip to stable unique internal IDs. | `T10-DOM-001`, `T10-DOM-002`, `T12-MAP-002`, `T23-HDF5-001` | multi-instance semantic fixture; `RV26` model identity audit | released-in-V0 |
| `FESA-REQ-LS3DEB-016` | Multiple identity instances remain distinct and deterministic. | `T10-DOM-003`, `T12-MAP-002` | multi-instance semantic fixture; reference CSV N/A | released-in-V0 |
| `FESA-REQ-LS3DEB-017` | Instance translation/rotation fails with exact `unsupported-instance-transform`. | `T12-MAP-004` | `neg-b33-input-contract` transform case | released rejection behavior; transforms unsupported |
| `FESA-REQ-LS3DEB-018` | Nested/dependent constructs fail structurally and produce no Domain model. | `T12-MAP-004` | `neg-b33-input-contract` nested/dependent cases | released rejection behavior; nested assembly unsupported |
| `FESA-REQ-LS3DEB-019` | Exact no-op allowlist emits deterministic warnings without semantic effect. | `T12-MAP-003`, `T23-HDF5-002`, `T23-HDF5-003` | legacy input/output requests; `RV26` mandatory-output audit | released-in-V0 |
| `FESA-REQ-LS3DEB-020` | Unlisted model keywords fail and allowed output requests cannot suppress mandatory HDF5 output. | `T12-MAP-004`, `T23-HDF5-002`, `T24-CLI-003` | `smoke-b33-cli`; `RV26` exact HDF5 inventory | released-in-V0 |
| `FESA-REQ-LS3DEB-021` | Active-step view neither copies nor mutates Domain. | `T10-DOM-002`, `T13-MODEL-002` | architecture/code-verification fixture; reference CSV N/A | released-in-V0 |
| `FESA-REQ-LS3DEB-022` | DofManager exclusively owns mapping/scatter/reconstruction; Node/Element have no equation IDs. | `T14-DOF-001`, `T14-DOF-003`, `T14-DOF-004`, `T19-CONSTRAINT-001` | code/dependency audit; reference CSV N/A | released-in-V0 |
| `FESA-REQ-LS3DEB-023` | Required V0 state is connected to output and excluded state is unallocated. | `T15-STATE-001`, `T15-STATE-002`, `T23-HDF5-001` | `smoke-b33-cli`; `RV26` HDF5 audit | released-in-V0 |
| `FESA-REQ-LS3DEB-024` | Repeated/thread-varied assembly has identical CSR order and values. | `T17-PFOR-002`, `T18-SPARSE-002`, `T18-SPARSE-004`, `T18-SPARSE-005`, `NR-T11-DETERMINISTIC-ASSEMBLY` | `cv-b33-patch-rigid-assembly`; reference CSV N/A | released-in-V0 |
| `FESA-REQ-LS3DEB-025` | Backend types do not leak and dense/sparse storage matches contract. | `T07-BUILD-002`, `T09-DENSE-001`, `T09-DENSE-002`, `T18-SPARSE-001`, `T20-PARDISO-004`; Step 25 dependency scans | adapter/code audit; `BT25` | released-in-V0 |
| `FESA-REQ-LS3DEB-026` | Event trace is stiffness/partition/factorize/load/RHS/solve with separate factorization. | `T20-PARDISO-002`, `T24-ORCH-001` | lifecycle event-trace fixture; `BT25` | released-in-V0 |
| `FESA-REQ-LS3DEB-027` | Effective RHS, full displacement, and residual reaction satisfy partition equations. | `T19-CONSTRAINT-001`, `T19-CONSTRAINT-003`, `T21-LOAD-003`, `T22-RECOVERY-001`, `T22-RECOVERY-002`, `NR-T09-PARTITION-SPD` | `an-b33-prescribed-displacement`; `PE27` residual/reaction checks | released-in-V0 |
| `FESA-REQ-LS3DEB-028` | Success atomically produces final HDF5 and failure leaves no incomplete final file. | `T23-HDF5-004`, `T23-HDF5-005`, `T24-CLI-001` | CLI writer success/failure fixtures; `RV26` authoritative output | released-in-V0 |
| `FESA-REQ-LS3DEB-029` | Every schema-v0 path exists at frame 0 with exact rank/component identity. | `T23-HDF5-001`, `T24-B33-001` | `RV26` read-only HDF5 schema audit | released-in-V0 |
| `FESA-REQ-LS3DEB-030` | Metadata fields, ordinary unit label, and external SI provenance are exact. | `T07-BUILD-001`, `T23-HDF5-001`, `T24-CLI-001`, `T24-B33-001` | `cantilever-beam-b33`; `RV26` metadata/source-identity audit | released-in-V0 |
| `FESA-REQ-LS3DEB-031` | Component order and endpoint/Gauss locations are exact and output-request independent. | `T15-STATE-002`, `T16-BEAM-006`, `T22-RECOVERY-003`, `T23-HDF5-001`, `T23-HDF5-002`, `T24-CLI-003` | all analytical models; `RV26`; `PE27` end/section checks | released-in-V0 |
| `FESA-REQ-LS3DEB-032` | Correct `S11` rows/default centroid exist, no shear stress is emitted, and stress reference is N/A. | `T16-BEAM-008`, `T22-RECOVERY-005`, `T23-HDF5-003`, `T24-B33-001` | axial/local-z analytical stress; `RV26` Stress Reference Status; `PE27` stress sanity | released; Abaqus stress reference N/A |
| `FESA-REQ-LS3DEB-033` | Default/explicit output and exact exit-code/ordered-diagnostic contract pass. | `T08-CORE-002`, `T24-CLI-001`, `T24-CLI-002` | CLI negative portfolio; `BT25` | released-in-V0 |
| `FESA-REQ-LS3DEB-034` | Every production step has RED, GREEN, focused/full VERIFY, discovery, and no warning. | `T07-*` through `T24-*`; TASK-07 through TASK-24 report blocks | `BT25`: 18/18 blocks audited, fresh warning count 0, 83 discovered, 83/83 pass | satisfied |
| `FESA-REQ-LS3DEB-035` | All matrix, mode, residual, transform, partition, and analytical thresholds pass. | `T16-BEAM-001` through `T16-BEAM-010`; `T18-SPARSE-004`; `T19-CONSTRAINT-003`; `T20-PARDISO-001`, `T20-PARDISO-006`; `T22-RECOVERY-002`; `NR-T01` through `NR-T11` | analytical portfolio; `PE27` exact targeted 17/17 | satisfied |
| `FESA-REQ-LS3DEB-036` | Abaqus-only component scale and exact mixed formula apply to every row. | `T24-REF-002`, `T24-B33-001` | `RV26`: 176 recalculated row decisions, 16 metrics | satisfied |
| `FESA-REQ-LS3DEB-037` | Exact SI floors and zero-scale behavior are applied. | `T24-REF-002`, `T24-B33-001` | `RV26` component table includes zero-scale groups and exact floors | satisfied |
| `FESA-REQ-LS3DEB-038` | Invalid row/schema/identity/nonfinite cases fail before tolerance; no clamp/drop occurs. | `T24-REF-001`, `T24-REF-002` | malformed contract fixtures; `RV26` zero missing/extra/duplicate/nonfinite rows | satisfied |
| `FESA-REQ-LS3DEB-039` | Every row decision and aggregate/worst metric is present. | `T24-REF-003`, `T24-B33-001` | `RV26`: 176 ledger rows, 16 component metrics, exact recomputation | satisfied |
| `FESA-REQ-LS3DEB-040` | Exact legacy filenames exist and reference content is unchanged. | `T11-SYN-004`, `T24-B33-001`; `BT25`/`RV26`/`PE27` reference diff/status checks | exact approved four-file bundle and pre/post hashes | satisfied legacy exception |
| `FESA-REQ-LS3DEB-041` | Four-file/B33/header/key/finite precheck passes before comparison with approved failure classes. | `T24-REF-001`, `T24-B33-001` | `RV26` Artifact Inventory: 4 files, 11/11/11 rows, finite/unique | satisfied |
| `FESA-REQ-LS3DEB-042` | Exact component/source identity and endpoint-consistency/no-average policy pass. | `T22-RECOVERY-006`, `T24-REF-004`, `T24-B33-001` | `RV26`: displacement 66, reaction 66, section 44; endpoint consistency true | satisfied |
| `FESA-REQ-LS3DEB-043` | Build precedes reference, reference precedes physics, and physics covers required checks. | `BT25`, `RV26`, `PE27`; phase Steps 25-27 | `PE27`: force/moment equilibrium, reaction, displacement, symmetry, section/end force, residual and coverage pass | satisfied |
| `FESA-REQ-LS3DEB-044` | No reference solver/artifact mutation occurs and release claims no excluded support. | `T12-MAP-004`, `T12-MAP-005`; `BT25`/`RV26`/`PE27` no-change assertions; Step 28 Git audit | exact legacy diff/status clean; this report's Release Scope and Known Limitations | satisfied |
Audit result: all 44 expected `must` requirements have an acceptance criterion, exact executable
or gate evidence, reference/analytical evidence or an explicit applicable N/A, and a final
disposition. No must requirement is deferred or blocked.
## Validation Evidence
| command or report | expected | observed | result |
| --- | --- | --- | --- |
| Step 25 fresh MSVC x64 Debug configure/build | exit 0; `/W4 /WX`; no warnings | exit 0; warning scan 0 | pass |
| Step 25 CTest discovery/full | nonzero discovery; zero failures | 83 discovered; feature 83/83; full 83/83 | pass |
| exact Build/Test gate string | `status: pass-for-reference-verification` | present | pass |
| exact Reference Verification gate string and result probe | `status: pass-for-physics-evaluation`; `passed=true` | present; corrected exact acceptance command and comparison test pass | pass |
| exact Physics Evaluation gate string | `status: pass-for-release-agent` | present; targeted physics selection 17/17 | pass |
| reference comparison | exact rows/metrics; approved tolerance | 176/176 rows, 16/16 metrics, `passed=true`; largest normalized error `0.026602795021994977 < 1` | pass |
| physics sanity | equilibrium/sign/symmetry/section/residual/coverage pass | force `1.1921e-13`, moment `2.7418e-13`, free residual `9.3563e-13`; all checks pass | pass |
| phase prerequisites | Steps 0-27 completed | all 28 prerequisite entries completed | pass |
## Release Checklist
- [x] Approved design, requirements, research, formulation, numerical, I/O, and reference-model evidence is present.
- [x] TASK-07 through TASK-24 implementation evidence is complete and independently audited.
- [x] Exact three-gate status strings are present and passing.
- [x] All 44 `must` requirements are traced to acceptance, exact evidence, reference/analytical coverage, and disposition.
- [x] Reference bundle identity and read-only status are preserved.
- [x] Known limitations, accepted Minors, evidence limitations, and explicit N/A items are documented.
- [x] No Critical, unresolved Important, defect, missing artifact, failed command, or user decision blocks internal readiness.
## Known Limitations
| limitation | category | user impact | disposition |
@@ -188,47 +57,6 @@ disposition. No must requirement is deferred or blocked.
| HDF5 `libmmd.dll` staging guard (Minor) | environment portability | unconditional guard is correct for approved shared-HDF5 environment; alternate HDF5 targets may need adjustment | accepted external portability limit |
| stale implementation aggregate header | documentation | top-level `in-progress` can confuse readers despite completed evidence | documented nonblocking stale header; upstream unchanged |
## Release Notes Draft
### Feature Summary
- Adds the internally release-ready FESA V0 end-to-end single-step linear-static 3D
Euler-Bernoulli beam pipeline for Abaqus `TYPE=B33` input.
- Supports stable identity instances, deterministic DOF/sparse assembly, separate PARDISO
factorization/substitution, nonzero prescribed displacement, residual reactions, and atomic
HDF5 `results.h5` output.
- Writes mandatory displacement, reaction, equilibrium end action, endpoint section resultant,
generalized strain/resultant, and axial `S11` regardless of Abaqus output requests.
### Verification Scope
- Fresh Visual Studio 18 2026/MSVC x64 Debug build passed under `/W4 /WX` with zero warnings and
all 83 discovered tests passing.
- The approved read-only `cantilever-beam-b33` bundle passed all 176 displacement/reaction/section
rows and all 16 metric groups under `absolute_floor + 1e-6 * reference_scale`.
- Physics evaluation passed force/moment equilibrium, reactions, displacement/rotation signs,
zero symmetry, end/section balance, local/global mapping, residual, `S11`, energy/modes, and
complementary analytical coverage.
### Main Limitations
- No B31, multiple steps, transforms/nested assembly, `I12!=0`, `*DLOAD`, nonlinear, dynamic,
contact, thermal, shear-stress, or warping-stress support.
- Abaqus beam stress reference comparison is N/A; nonzero `S11` evidence is analytical/unit-based.
- The legacy space-containing four-file reference bundle is a read-only exception. New bundles
must use canonical names and metadata.
- The single Abaqus cantilever is supplemented by analytical/unit models and does not establish
full Abaqus B33 compatibility or experimental validation.
- Accepted Minor test-depth and alternate-environment portability limits remain as documented in
Known Limitations.
### Artifacts
- Authoritative solver output for a run: HDF5 `results.h5`.
- Approved reference baseline: `reference/cantilever beam/` exact four-file legacy bundle.
- Gate evidence: the Build/Test, Reference Verification, and Physics Evaluation reports listed in
Metadata; deterministic build-local `comparison.json` is review evidence, not solver output.
## Release Verdict
- verdict: `ready-for-release`
@@ -253,29 +81,6 @@ disposition. No must requirement is deferred or blocked.
No release engineering, packaging, publication, tag, push, or external coordination was performed.
Harness/root phase-evidence commits are internal workflow records, not an external release action.
## No-Change Assertion
- source_files_modified: `false`
- test_files_modified: `false`
- cmake_files_modified: `false`
- requirements_or_upstream_contracts_modified: `false`
- implementation_report_modified: `false`
- build_report_modified: `false`
- reference_verification_report_modified_for_review_fix: `true`
- physics_report_modified: `false`
- reference_artifacts_modified: `false`
- tolerance_policies_modified: `false`
- Abaqus_or_other_reference_solver_executed: `false`
- release_agent_publish_deploy_package_tag_push_commit_performed: `false`
- harness_or_root_phase_evidence_commits_performed: `true`
- owned_release_report_created: `true`
- phase_index_step28_modified: `true`
- phase_step26_acceptance_modified_for_review_fix: `true`
- phase_index_step26_summary_modified_for_review_fix: `true`
- notes: The release audit initially created this report and changed only Step 28. Final review
then aligned the Step 26 acceptance probe/report/index summary with authoritative `passed=true`;
source, tests, tolerance, reference artifacts, and physical evidence remain unchanged.
## Open Issues
- Blocking issues: none.
@@ -288,3 +93,5 @@ Harness/root phase-evidence commits are internal workflow records, not an extern
- Nonblocking accepted Minors: comparator file-type defense-in-depth coverage, future multi-source
diagnostic ordering, and alternate-HDF5 `libmmd.dll` staging portability remain as documented.
- Deferred behavior is limited to the Known Limitations and is not claimed as supported.
현재 build·reference·물리 실행 기록은 [검증 보고서](verification.md)에 통합했다. 과거 readiness와 현재 재검증 필요를 구분하며 이 정리는 새로운 release 감사가 아니다.
@@ -7,7 +7,7 @@
- status: `approved`
- owner_agent: `requirement-agent`
- date: `2026-08-09`
- approved_design: `docs/superpowers/specs/2026-08-08-linear-static-3d-euler-beam-design.md`
- approved_design: `docs/development-history.md`
- approval_basis: design `status: approved`, user approval on `2026-08-08`, and amendment on `2026-08-09`
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- reference_baseline: exact read-only artifacts under `reference/cantilever beam/`
+1 -1
View File
@@ -4,7 +4,7 @@
- feature_id: `linear-static-3d-euler-beam`
- source_requirement: `docs/linear-static-3d-euler-beam/requirements.md`
- approved_design: `docs/superpowers/specs/2026-08-08-linear-static-3d-euler-beam-design.md`
- approved_design: `docs/development-history.md`
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- status: `ready-for-formulation`
- owner_agent: `research-agent`
@@ -0,0 +1,849 @@
# 3D Euler–Bernoulli Beam 검증과 한계
본 문서는 당시 revision의 검증·판정 기록이다. 본문에 남긴 원본 보고서 이름과 SHA-256은
통합 전 자료의 식별자이며 정리된 현재 파일의 byte hash를 뜻하지 않는다. 원문은 Git
`858e87b`의 해당 기능 폴더에서 확인할 수 있다. 현재 진입점과 대응 기록은 [README](README.md)를 따른다.
아래 날짜·revision·명령·수치는 당시 실제 실행 기록이다. 문서 정리에서 solver를 다시 실행하지 않았다.
현재 계약은 [요구사항](requirements.md), [정식화](formulation.md), [I/O](io.md), [공통 tolerance](../TOLERANCE.md)를 따른다. [과거 release 판정](release.md)의 재검증 경계도 유지한다.
<a id="build-test"></a>
<a id="build-test--linear-static-3d-euler-beam-buildtest-report"></a>
## Linear Static 3D Euler Beam Build/Test Report
<a id="build-test--metadata"></a>
### Metadata
- feature_id: `linear-static-3d-euler-beam`
- source_commit: `400db191ce9f766ca6b34e5b609eaa13c54ccfa3`
- source_implementation_report: `docs/linear-static-3d-euler-beam/lessons.md`
- source_implementation_plan: `docs/linear-static-3d-euler-beam/README.md`
- status: `pass-for-reference-verification`
- date: `2026-08-09`
- evidence_window: `2026-08-09T23:16:20.8670416+09:00` through `2026-08-09T23:20:15.7264584+09:00`
<a id="build-test--verdict"></a>
### Verdict
Fresh Visual Studio 18 2026/MSVC x64 Debug configuration, a clean full rebuild,
the exact Step 25 configure/build commands, nonzero JSON discovery, the feature-label
CTest run, and the full CTest run all passed. CTest discovered the expected 83 tests
and both executed suites passed 83/83. The clean rebuild emitted no compiler or linker
warning line, and generated FESA product projects retain Level 4 plus warnings-as-errors.
The build/test gate therefore passes for handoff to Step 26 Reference Verification.
This verdict does not approve reference tolerance, physics sanity, or release readiness.
<a id="build-test--execution-environment"></a>
### Execution Environment
- os: `Microsoft Windows 11 Home 10.0.26200 build 26200; 64-bit`
- source_head: `400db191ce9f766ca6b34e5b609eaa13c54ccfa3`
- generator: `Visual Studio 18 2026`
- Visual Studio: `Community 18.8.2` (`18.8.12023.21`)
- MSBuild: `18.8.2+ce25c0108`
- compiler: `MSVC 19.51.36252.0`
- compiler_architecture: `x64`
- Windows SDK: `10.0.26100.0`
- language: `C++17`, required, extensions disabled
- config: `Debug`
- build_dir: `.harness/build`
- harness_config: absent; repository auto-CMake defaults plus Step 25 explicit cache values
- project_selection: auto CMake from root `CMakeLists.txt`
- command_discovery_path: default CMake/MSVC x64 Debug with explicit local dependency paths
- CMake / CTest: `4.4.0 / 4.4.0`
<a id="build-test--dependency-revisions"></a>
#### Dependency Revisions
| dependency | resolved revision or version | evidence |
| --- | --- | --- |
| GoogleTest | `04ee1b4f2aefdffb0135d7cf2a2c519fe50dabe4` | clean `C:/git/googletest` checkout HEAD |
| Intel oneMKL | `2026.1.0` | `MKLConfigVersion.cmake`; configure reported `MKL_VERSION: 2026.1.0`, dynamic ILP64, Intel threading |
| Intel oneTBB | `2023.1.0` | `TBBConfigVersion.cmake` from the configured `2023.1` package |
| HDF5 | `2.1.1` | `hdf5-config-version.cmake` from the configured `2.1.1` package |
<a id="build-test--freshness-and-configuration-resolution"></a>
### Freshness and Configuration Resolution
The ignored generated build tree already existed. Fresh evidence was obtained without
reusing its cache or products by running CMake `--fresh` with the generator explicitly
fixed to Visual Studio 18 2026, then running the generated `clean` target before the
full build. The literal no-`--fresh`, no-`-G` configure command from Step 25 was then
run against that resolved VS18 cache and followed by the literal build, discovery,
feature-label, and full-test commands.
Post-configure metadata recorded:
- `CMAKE_GENERATOR=Visual Studio 18 2026`
- `CMAKE_GENERATOR_PLATFORM=x64`
- `CMAKE_CXX_COMPILER_ID=MSVC`
- `CMAKE_CXX_COMPILER_VERSION=19.51.36252.0`
- `CMAKE_CXX_COMPILER_ARCHITECTURE_ID=x64`
<a id="build-test--command-log-summary"></a>
### Command Log Summary
| order | command | start / end | exit code | duration | verdict and stdout/stderr tail |
| ---: | --- | --- | ---: | ---: | --- |
| 1 | `cmake --fresh -S . -B .harness/build -G "Visual Studio 18 2026" -A x64 -DFESA_GTEST_SOURCE_DIR=C:/git/googletest "-DMKL_DIR=C:/Program Files (x86)/Intel/oneAPI/mkl/2026.1/lib/cmake/mkl" "-DTBB_DIR=C:/Program Files (x86)/Intel/oneAPI/tbb/2023.1/lib/cmake/tbb" "-DHDF5_DIR=C:/Program Files/HDF_Group/HDF5/2.1.1/cmake"` | `23:16:20.867+09:00` / `23:16:27.706+09:00` | 0 | `6.836 s` | pass; MKL 2026.1.0 and required runtime libraries resolved; `Configuring done`, `Generating done`, build files written to `.harness/build` |
| 2 | `cmake --build .harness/build --config Debug --target clean` | `23:16:37.194+09:00` / `23:16:37.914+09:00` | 0 | `0.716 s` | pass; generated VS18 clean target completed |
| 3 | `cmake --build .harness/build --config Debug` | `23:16:47.054+09:00` / `23:18:01.769+09:00` | 0 | `74.713 s` | pass; clean compile/link produced `fesa.exe` and all three test executables; warning scan count `0` |
| 4 | `cmake -S . -B .harness/build -A x64 -DFESA_GTEST_SOURCE_DIR=C:/git/googletest "-DMKL_DIR=C:/Program Files (x86)/Intel/oneAPI/mkl/2026.1/lib/cmake/mkl" "-DTBB_DIR=C:/Program Files (x86)/Intel/oneAPI/tbb/2023.1/lib/cmake/tbb" "-DHDF5_DIR=C:/Program Files/HDF_Group/HDF5/2.1.1/cmake"` | `23:19:10.210+09:00` / `23:19:10.861+09:00` | 0 | `0.649 s` | pass; exact Step 25 command selected Windows SDK 10.0.26100.0, retained VS18/x64, and completed configure/generate |
| 5 | `cmake --build .harness/build --config Debug` | `23:19:25.404+09:00` / `23:19:28.969+09:00` | 0 | `3.562 s` | pass; exact Step 25 build confirmed `fesa_solver`, `fesa.exe`, and all test executables; warning scan count `0` |
| 6 | `ctest --test-dir .harness/build -C Debug --show-only=json-v1` | `23:19:45.728+09:00` / `23:19:45.798+09:00` | 0 | `0.065 s` | pass; JSON kind `ctestInfo` version 1.0; 83 tests; every test has the feature label |
| 7 | `ctest --test-dir .harness/build -C Debug -L linear-static-3d-euler-beam --output-on-failure` | `23:20:00.199+09:00` / `23:20:04.163+09:00` | 0 | `3.961 s` | pass; `100% tests passed out of 83`; real test time `3.92 s` |
| 8 | `ctest --test-dir .harness/build -C Debug --output-on-failure` | `23:20:11.899+09:00` / `23:20:15.726+09:00` | 0 | `3.825 s` | pass; `100% tests passed out of 83`; real test time `3.79 s` |
An initial post-clean discovery/feature/full smoke was also run before the literal
configure replay: discovery exit 0 in `0.068 s` with 83 tests, feature-label CTest
exit 0 in `4.244 s` with 83/83, and full CTest exit 0 in `4.011 s` with 83/83.
Rows 4 through 8 are the final canonical Step 25 acceptance chain.
<a id="build-test--validation-results"></a>
### Validation Results
| validation_stage | result | evidence |
| --- | --- | --- |
| harness self-test | skipped | No Harness Python, Hook, or agent-config file is part of HEAD `400db19` verification scope. |
| fresh configure | pass | Explicit VS18/x64 `--fresh` configure exit 0, followed by clean target exit 0. |
| exact configure | pass | Literal Step 25 configure exit 0; generated metadata is MSVC/x64. |
| clean full build | pass | Exit 0 after clean; all source and test translation units compiled and linked. |
| exact build | pass | Exit 0; product and three test executables confirmed. |
| compiler/warning policy | pass | `fesa_solver` and `fesa_cli` generated projects have `Level4` and `TreatWarningAsError=true`; clean and exact build scans found zero warning lines. |
| CTest discovery | pass | Exit 0; 83 tests, greater than zero and equal to the expected inventory. |
| feature-specific tests | pass | Label `linear-static-3d-euler-beam`: 83/83 passed. |
| full CTest | pass | 83/83 passed with zero failed tests. |
| reference immutability | pass | Pre/post `git diff --exit-code -- reference/` exit 0, status empty, and four exact SHA-256 values unchanged. |
| source worktree before report | pass | `git status --short` empty at HEAD `400db19`. |
<a id="build-test--ctest-inventory"></a>
### CTest Inventory
<a id="build-test--label-inventory"></a>
#### Label Inventory
| label | count |
| --- | ---: |
| `linear-static-3d-euler-beam` | 83 |
| `unit` | 73 |
| `integration` | 5 |
| `reference` | 5 |
<a id="build-test--suite-inventory-and-step-trace"></a>
#### Suite Inventory and Step Trace
| implementation Step | CTest suite or suites | count | cumulative count | Step 7-24 report evidence audit |
| ---: | --- | ---: | ---: | --- |
| 7 | `BuildInfo` | 2 | 2 | pass |
| 8 | `CoreDiagnostics` | 3 | 5 | pass |
| 9 | `DenseMath` | 2 | 7 | pass |
| 10 | `DomainModel` | 3 | 10 | pass |
| 11 | `InpSyntax` | 4 | 14 | pass |
| 12 | `InpDomainMapping` | 5 | 19 | pass |
| 13 | `AnalysisModel` | 3 | 22 | pass |
| 14 | `DofManager` | 4 | 26 | pass |
| 15 | `AnalysisState` | 3 | 29 | pass |
| 16 | `EulerBeam3D` | 10 | 39 | pass |
| 17 | `ParallelFor` | 3 | 42 | pass |
| 18 | `SparseAssembly` | 5 | 47 | pass |
| 19 | `EssentialConstraints` | 4 | 51 | pass |
| 20 | `MklPardisoSolver` | 6 | 57 | pass |
| 21 | `LoadAssembly` | 5 | 62 | pass |
| 22 | `ResultRecovery` | 6 | 68 | pass |
| 23 | `Hdf5ResultsWriter` | 5 | 73 | pass |
| 24 | `LinearStaticCli` (5), `ReferenceComparisonContract` (4), `B33ReferenceComparison` (1) | 10 | 83 | pass |
The JSON inventory contains every exact test name registered by GoogleTest discovery.
No duplicate CTest name was observed; the label partition is exactly 73 unit + 5
integration + 5 reference = 83.
<a id="build-test--step-7-24-implementation-evidence-audit"></a>
### Step 7-24 Implementation Evidence Audit
The cumulative implementation report was checked block-by-block against the implementation
plan and the phase index summaries. All 18 Step blocks are present and each records:
- its matching `TASK-07` through `TASK-24`, `status: completed`, changed files,
requirement IDs, and test IDs;
- at least one implementation-owned nonzero RED command with the expected missing API
or named behavioral failure;
- a zero-exit GREEN build/test for the Step's targeted CTest suite;
- zero-exit MSVC x64 configure/build, nonzero JSON discovery, and zero-failure full CTest;
- `/W4 /WX` or equivalent generated warning-policy evidence and reference-tree
immutability evidence.
Step 20 and Step 22 additionally retain valid behavioral RED/GREEN correction evidence.
Step 23 records its environment link incident separately from the valid missing-API RED,
so the environment incident was not counted as TDD evidence. The cumulative counts in the
implementation report and the Step 7-24 phase summaries progress exactly to the freshly
discovered 83-test inventory above.
The implementation report's cumulative header still says `in-progress`; the audited
step-local evidence contract and phase index nevertheless mark every implementation Step
7-24 `completed`. This stale aggregate header is not a missing Step block, missing test,
or failed build/test gate and was not modified by the independent executor.
<a id="build-test--w4-wx-and-warning-audit"></a>
### `/W4 /WX` and Warning Audit
- `src/fesa/CMakeLists.txt` applies `/W4 /WX` privately to `fesa_solver` and `fesa_cli`.
- Generated `fesa_solver.vcxproj` and `fesa_cli.vcxproj` contain
`<WarningLevel>Level4</WarningLevel>` and
`<TreatWarningAsError>true</TreatWarningAsError>` for Debug and the other generated
configurations.
- The clean 74.713-second build recompiled the product and all test translation units;
its compiler/linker warning scan found `0` lines.
- The exact post-configure build also exited 0 and found `0` warning lines.
Result: no product warning was emitted, and any MSVC product warning would have failed
the build under `/WX`.
<a id="build-test--reference-read-only-audit"></a>
### Reference Read-Only Audit
The following SHA-256 values were identical before and after all configure/build/test
commands, while both reference diff checks exited 0 and both reference status checks
were empty:
| exact approved legacy path | SHA-256 |
| --- | --- |
| `reference/cantilever beam/cantilever beam.inp` | `E406EA9560321B791DB829E03BD24593B9875E0195D35B86BD931EDA122EF3` |
| `reference/cantilever beam/cantilever beam displacements.csv` | `7B3312FBC8848E81D9A0FD4FF2B56BC1954636A2C14B5C1CBB269CB9477D3C31` |
| `reference/cantilever beam/cantilever beam reactions.csv` | `BF30CDB0CD50106885DE14D63492737736C587426EBD787DE4F7EE6AA86DAA23` |
| `reference/cantilever beam/cantilever beam elemental forces.csv` | `E5E77FEC0FA9482AE018DBF296E74D396335C7C711BD2E9AA2315247A34290BA` |
<a id="build-test--failure-classification"></a>
### Failure Classification
- classification: `N/A`
- primary_failure: `N/A`
- first_failed_command: `N/A`
- evidence_tail: All required configure, build, discovery, feature-label, and full-test
commands exited 0; no failed test exists.
- correction_handoff: `N/A`; no implementation-owned, environment, harness, or
upstream-contract failure requires correction.
<a id="build-test--failed-test-inventory"></a>
### Failed Test Inventory
None. Feature-label CTest and full CTest both passed 83/83.
<a id="build-test--handoff-recommendation"></a>
### Handoff Recommendation
| target_agent | reason | required_input |
| --- | --- | --- |
| Reference Verification Agent | Step 25 build/test gate is `pass-for-reference-verification`. | This report, HEAD `400db19`, `.harness/build/tests/Debug/fesa_reference_tests.exe`, and the unchanged exact legacy bundle. |
The build-local Step 24 evidence exists at
`.harness/build/reference/cantilever-beam-b33/results.h5` and
`.harness/build/reference/cantilever-beam-b33/comparison.json`; the JSON is 128,118 bytes
with SHA-256
`258347AEA791D981AEA9B2BCAD85DE5344D4859ECA3692DC5E7AA01A848F8E0D`.
Step 26 must independently rerun and inspect the approved comparison evidence. Its
presence and CTest success here are not a reference-verification verdict.
<a id="build-test--open-issues"></a>
### Open Issues
- None blocking Reference Verification.
- The implementation report aggregate `in-progress` header is noted above but does not
contradict its 18 completed Step blocks, the phase index, or the fresh build/test result.
<a id="reference-comparison"></a>
<a id="reference-comparison--linear-static-3d-euler-beam-reference-verification-report"></a>
## Linear Static 3D Euler Beam Reference Verification Report
<a id="reference-comparison--metadata"></a>
### Metadata
- feature_id: `linear-static-3d-euler-beam`
- model_id: `cantilever-beam-b33`
- source_head: `451d9077ea70e3087454db3760e677da0095d27f`
- source_build_test_report: `docs/linear-static-3d-euler-beam/verification.md`
- source_reference_models: `docs/linear-static-3d-euler-beam/reference-model.md`
- source_io_definition: `docs/linear-static-3d-euler-beam/io.md`
- source_implementation_plan: `docs/linear-static-3d-euler-beam/README.md`
- source_implementation_report: `docs/linear-static-3d-euler-beam/lessons.md`
- historical_status: `pass-for-physics-evaluation`
- current_status: `pass-for-physics-evaluation`
- superseded_on: `2026-08-18`
- revalidated_on: `2026-08-18`
- date: `2026-08-09`
- review_fix_date: `2026-08-10`
The 2026-08-09 evidence below is preserved as a historical record of the former 11-station,
component-scale comparison. ADR-022 and the regenerated 20-row element-endpoint CSV supersede
that identity and tolerance. The following revalidation is the current reference-gate evidence.
<a id="reference-comparison--2026-08-18-common-policy-revalidation"></a>
### 2026-08-18 Common-policy Revalidation
`cmake --build .harness/build --config Debug` passed, followed by
`ctest --test-dir .harness/build -C Debug --output-on-failure`: 214/214 tests passed.
The B33 reference test generated
`.harness/build/reference/cantilever-beam-b33/comparison.json` from the exact read-only
reference paths.
- exact canonical rows: 212 = 66 displacement + 66 reaction + 80 direct element-endpoint
section-resultant rows
- exact families: 6; all row gates and family RMS gates passed
- direct section identity: 20 endpoint rows, 10 B33 elements x 2 connectivity-matched endpoints
- warnings, identity/schema/nonfinite failures: 0
- overall verdict: `passed=true`
| family | rows | scale | near-zero rows | max absolute error | scale-relative RMS |
| --- | ---: | ---: | ---: | ---: | ---: |
| translation `UX/UY/UZ` | 33 | `1.90476272e-2` | 23 | `5.333229170789711e-10` | `8.459623217000381e-9` |
| rotation `URX/URY/URZ` | 33 | `2.85714399e-3` | 23 | `1.000013943180944e-10` | `1.1723557271997219e-8` |
| reaction force `RF1/RF2/RF3` | 33 | `1.0e6` | 32 | `8.195638656616211e-7` | `2.0922817757699256e-13` |
| reaction moment `RM1/RM2/RM3` | 33 | `1.0e7` | 32 | `5.0514936447143555e-6` | `8.811160558471221e-14` |
| section force `N` | 20 | `0` | 20 | `0` | `0` |
| section moment `T/My/Mz` | 60 | `1.0e7` | 41 | `1.2499958951957524e-1` | `2.2910664449287597e-9` |
All values above come from the generated JSON ledger. The historical report body starts below
and must not be read as the current identity/tolerance evidence.
The prerequisite build/test report has status
`pass-for-reference-verification`. This report applies only the approved Abaqus
B33 reference tolerance. It does not approve physics sanity or release readiness.
<a id="reference-comparison--artifact-inventory"></a>
### Artifact Inventory
The approved B33 exception overrides the generic new-bundle inventory. The exact
four legacy files with spaces are the complete read-only reference bundle;
`metadata.json` is absent-allowed under project-wide policy, while `README.md` and a
stress CSV are contractually N/A and are not missing artifacts.
| item | exact path | status | direct audit evidence |
| --- | --- | --- | --- |
| reference directory | `reference/cantilever beam/` | present, exact inventory | Four regular files only; no extra entry. |
| reference input | `reference/cantilever beam/cantilever beam.inp` | present, valid | 2,330 bytes; exactly one `*ELEMENT, TYPE=B33` declaration at line 21. |
| displacement CSV | `reference/cantilever beam/cantilever beam displacements.csv` | present, valid | Exact 9-column CAE header; 11 unique rows; 66 finite values. |
| reaction CSV | `reference/cantilever beam/cantilever beam reactions.csv` | present, valid | Exact 9-column CAE header; 11 unique rows; 66 finite values. |
| elemental-force CSV | `reference/cantilever beam/cantilever beam elemental forces.csv` | present, valid | Exact 7-column CAE header; 11 unique rows; 44 finite values. |
| optional metadata | `reference/cantilever beam/metadata.json` | absent-allowed | Approved design, ADR-010, I/O definition, and reference-model contract supply provenance; absence is not a missing artifact. |
| legacy README | `reference/cantilever beam/README.md` | N/A | Approved B33 legacy exception. |
| reference stress CSV | N/A | N/A | Abaqus beam-stress comparison is outside the approved V0 scope. |
| authoritative solver output | `.harness/build/reference/cantilever-beam-b33/results.h5` | present, valid | 25,336 bytes; generated by the fresh exact CTest; HDF5 schema inspected read-only with HDF5 2.1.1 utilities. |
| comparison ledger | `.harness/build/reference/cantilever-beam-b33/comparison.json` | present, valid | 128,118 bytes; 176 row decisions, 16 component metrics, and `passed=true`. |
| solver debug CSV view | N/A | N/A | No derived FESA CSV was generated or used. |
<a id="reference-comparison--reference-hashes"></a>
#### Reference hashes
Fresh pre-comparison and post-comparison SHA-256 values were identical:
| exact approved legacy path | SHA-256 |
| --- | --- |
| `reference/cantilever beam/cantilever beam.inp` | `E406EA9560321B791DBDB829E03BD24593B9875E0195D35B86BD931EDA122EF3` |
| `reference/cantilever beam/cantilever beam displacements.csv` | `7B3312FBC8848E81D9A0FD4FF2B56BC1954636A2C14B5C1CBB269CB9477D3C31` |
| `reference/cantilever beam/cantilever beam reactions.csv` | `BF30CDB0CD50106885DE14D63492737736C587426EBD787DE4F7EE6AA86DAA23` |
| `reference/cantilever beam/cantilever beam elemental forces.csv` | `E5E77FEC0FA9482AE018DBF296E74D396335C7C711BD2E9AA2315247A34290BA` |
`git diff --exit-code -- reference/` exited 0 and
`git status --short -- reference/` was empty after both comparison runs.
<a id="reference-comparison--authoritative-hdf5-audit"></a>
#### Authoritative HDF5 audit
`h5ls` and `h5dump` opened `results.h5` read-only and established:
- schema version `0`, solver version `0.1.0`, feature
`linear-static-3d-euler-beam`, formulation `B33-3D-Euler-Bernoulli`,
`Step-1`, and frame `0`;
- metadata unit label `user-consistent-unspecified`, as required for ordinary
`.inp` interpretation; the approved reference-model contract supplies the
external SI provenance used by this comparison;
- coordinate convention
`global-cartesian; beam-local=(t,n1,t-cross-n1)`;
- source identity
`path=C:/Users/baram/orca/workspaces/FESADev/LinearStatic/reference/cantilever beam/cantilever beam.inp;content_identity=fnv1a64:04543464cc970405`;
a fresh FNV-1a calculation of the input bytes reproduced
`04543464cc970405`;
- 11 nodes with stable internal IDs 0 through 10, source labels 1 through 11,
instance `PART-1_1-1`, global coordinates `(0..10,0,0)`;
- 10 elements with stable IDs 0 through 9, source labels 1 through 10,
consecutive connectivity and identity local axes;
- displacement and reaction shapes `[11,6]`, section-resultant shape
`[10,2,4]`, exact component/unit/coordinate/location attributes, and finite
float64 values;
- mandatory `stress_s11` compound schema with 20 finite rows (10 elements x 2
Gauss points), `S11`, `force/length^2`, beam-local section-point attributes,
and the required `fesa-default` centroid identity.
Only `results.h5` and `comparison.json` exist in the build-local evidence
directory.
<a id="reference-comparison--comparison-contract"></a>
### Comparison Contract
- reference_csv_schema_version: `abaqus-cae-report-csv-v0`
- hdf5_schema_version: `0`
- model / frame normalization: CSV
`Increment 1: Step Time = 1.000` -> `(cantilever-beam-b33, Step-1, frame 0)`
- id_matching: exact preserved `instance_name` plus source node label;
section-resultant endpoints project to an eligible source-node station
- row-set policy: expected canonical keys are all 11 nodes crossed with 6
displacement, 6 reaction, and 4 section-resultant components
- displacement normalization:
`U-U1/U-U2/U-U3/UR-UR1/UR-UR2/UR-UR3` ->
`UX/UY/UZ/URX/URY/URZ`
- reaction normalization:
`RF-RF1/RF-RF2/RF-RF3/RM-RM1/RM-RM2/RM-RM3` ->
`RF1/RF2/RF3/RM1/RM2/RM3`
- section normalization: `SF-SF1 -> N`, `SM-SM1 -> My`,
`SM-SM2 -> Mz`, `SM-SM3 -> T`
- coordinates: global Cartesian for nodal quantities; beam local for section
resultants
- output locations: nodal displacement/reaction and positive-local-x endpoint
section cut projected to node station
- interior-node policy: both incident endpoints must first pass the approved
component tolerance; the smaller stable element ID is selected without
averaging
- tolerance source: requirements 036-039, ADR-014, approved I/O definition,
and reference-model contract
- tolerance policy: `absolute_floor + 1e-6 * reference_scale`
- reference scale: maximum absolute value from read-only Abaqus rows in the
same model, step/frame, quantity, and component only
- SI floors: `1e-9` for displacement/rotation and `1e-3` for force/moment;
zero scale uses the floor alone
- fail-before-tolerance conditions: missing, extra, duplicate, nonfinite,
schema-mismatched, or identity-mismatched row
- zero-reference policy: no zero clamp, deletion, substitution, or omission
The complete expected set of 176 canonical keys was reconstructed independently
from the contract and matched the 176 unique ledger rows exactly. The 16 expected
quantity/component keys matched the 16 unique metrics. Every serialized absolute
error, tolerance, pass decision, Abaqus-only reference scale, maximum error,
maximum tolerance-normalized error, RMS error, norm error, and worst-row index was
recalculated from the row ledger and matched exactly. Missing rows, extra rows,
duplicate rows, nonfinite rows, and failed rows were all zero.
The authoritative TASK-24 `ComparisonReport`, test contract, serialized JSON, and
Step 26 acceptance probe all define the verdict as the boolean `passed`. Final
review reproduced that the former `$metrics.status` sample failed against the valid
artifact, corrected the phase probe to `$metrics.passed -eq $true`, and reran the
exact acceptance chain successfully. The generated JSON has `passed=true`.
<a id="reference-comparison--execution-evidence"></a>
### Execution Evidence
The exact command was run twice after the artifact precheck:
```powershell
ctest --test-dir .harness/build -C Debug -R B33ReferenceComparison -V --output-on-failure
```
Both executions passed the single exact test
`B33ReferenceComparison.GeneratesAuthoritativeHdf5AndComparisonEvidence` 1/1.
Each run reset only `.harness/build/reference/cantilever-beam-b33/` and regenerated
the same two build-local files. The comparison ledger was byte deterministic on
both runs:
- size: `128118` bytes
- SHA-256: `258347AEA791D981AEA9B2BCAD85DE5344D4859ECA3692DC5E7AA01A848F8E0D`
- verdict: `passed=true`
`results.h5` remains the authoritative solver output. The JSON is deterministic
review evidence derived directly from HDF5 and the read-only Abaqus CSV rows.
<a id="reference-comparison--quantity-results"></a>
### Quantity Results
`maximum_relative_error` below is calculated only where the Abaqus reference is
nonzero. It is reported for audit completeness, but it is not the acceptance
rule: near-zero Abaqus residues make row-relative error ill-conditioned. The
approved component-scale normalized error is `absolute_error / row_tolerance`.
| quantity | FESA HDF5 dataset | reference CSV | compared | missing | extra | nonfinite | max abs error | max relative error | max tolerance-normalized error | RMS error | norm error | worst ID/component by abs error | result |
| --- | --- | --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | ---: | --- | --- |
| displacement | `/steps/Step-1/frames/0/nodal/displacement` | `reference/cantilever beam/cantilever beam displacements.csv` | 66 | 0 | 0 | 0 | `5.333229170789711e-10` | `1.0` | `0.026602795021994977` | `1.1637590907608428e-10` | `9.454423547085314e-10` | node 11 / `UZ` | pass |
| reaction | `/steps/Step-1/frames/0/nodal/reaction` | `reference/cantilever beam/cantilever beam reactions.csv` | 66 | 0 | 0 | 0 | `5.0514936447143555e-6` | `8.195638656616211e-13` | `8.187451205410801e-7` | `6.403678373262425e-7` | `5.202372903532068e-6` | node 1 / `RM2` | pass |
| section resultant | `/steps/Step-1/frames/0/element/section_resultant` | `reference/cantilever beam/cantilever beam elemental forces.csv` | 44 | 0 | 0 | 0 | `1.5600242861189492e-2` | `1.0000155680249674` | `0.0015598682992890203` | `0.0023518254339534184` | `0.015600245073676508` | node station 11 / `My` | pass |
| stress | `/steps/Step-1/frames/0/element/stress_s11` | N/A | N/A | N/A | N/A | 0 in 20 mandatory HDF5 rows | N/A | N/A | N/A | N/A | N/A | N/A | N/A for Abaqus comparison; HDF5 requirement passed |
The displacement row-relative maximum occurs at node 1 `UZ`, where the stored
reference residue is `-1e-30`; the section row-relative maximum occurs at free-end
`My`, where the stored reference residue is `-1.56e-2`. Neither row was clamped or
omitted. Their approved mixed-tolerance decisions pass.
<a id="reference-comparison--component-metrics"></a>
#### Component metrics
Each group contains 11 matched rows. `worst_row` is the zero-based index in the
deterministic JSON row ledger.
| quantity | component | reference scale | row tolerance | max abs error | max normalized error | RMS error | norm error | worst row | worst identity | result |
| --- | --- | ---: | ---: | ---: | ---: | ---: | ---: | ---: | --- | --- |
| displacement | `UX` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 0 | node 1 / `UX` | pass |
| displacement | `UY` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 1 | node 1 / `UY` | pass |
| displacement | `UZ` | `0.0190476272` | `2.00476272e-8` | `5.333229170789711e-10` | `0.026602795021994977` | `2.790953046857666e-10` | `9.256544063926071e-10` | 62 | node 11 / `UZ` | pass |
| displacement | `URX` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 3 | node 1 / `URX` | pass |
| displacement | `URY` | `0.00285714399` | `3.85714399e-9` | `1.000013943180944e-10` | `0.025926279801157852` | `5.801658540511775e-11` | `1.924192454063848e-10` | 52 | node 9 / `URY` | pass |
| displacement | `URZ` | `0` | `1e-9` | `0` | `0` | `0` | `0` | 5 | node 1 / `URZ` | pass |
| reaction | `RF1` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 66 | node 1 / `RF1` | pass |
| reaction | `RF2` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 67 | node 1 / `RF2` | pass |
| reaction | `RF3` | `1e6` | `1.001` | `8.195638656616211e-7` | `8.187451205410801e-7` | `3.6239383393839433e-7` | `1.2019243735120167e-6` | 68 | node 1 / `RF3` | pass |
| reaction | `RM1` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 69 | node 1 / `RM1` | pass |
| reaction | `RM2` | `1e7` | `10.001` | `5.0514936447143555e-6` | `5.05098854585977e-7` | `1.5261377760919117e-6` | `5.061626381684292e-6` | 70 | node 1 / `RM2` | pass |
| reaction | `RM3` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 71 | node 1 / `RM3` | pass |
| section resultant | `N` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 132 | node 1 / `N` | pass |
| section resultant | `T` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 133 | node 1 / `T` | pass |
| section resultant | `My` | `1e7` | `10.001` | `0.015600242861189492` | `0.0015598682992890203` | `0.004703650867906837` | `0.015600245073676508` | 174 | node 11 / `My` | pass |
| section resultant | `Mz` | `0` | `1e-3` | `0` | `0` | `0` | `0` | 135 | node 1 / `Mz` | pass |
The largest normalized comparison error across all 176 rows is
`0.026602795021994977` at node 11 `UZ`, below the pass boundary of `1.0`.
<a id="reference-comparison--row-decision-ledger"></a>
#### Row decision ledger
Every row decision is recorded in the deterministic build-local
`comparison.json` identified above. Its stable row order is displacement nodes
1-11 x six components, reaction nodes 1-11 x six components, then section node
stations 1-11 x `[N,T,My,Mz]`. Independent parsing confirmed:
- rows: 176
- unique canonical row keys: 176
- row decisions with `passed=true`: 176
- row decisions with `passed=false`: 0
- finite FESA/reference/error/tolerance records: 176
- missing / extra / duplicate / identity-mismatched rows: 0 / 0 / 0 / 0
- metrics: 16 unique expected component groups
<a id="reference-comparison--stress-reference-status"></a>
### Stress Reference Status
- Abaqus stress reference comparison: N/A
- reason: the approved V0 reference contract excludes beam-stress CSV
comparison and substitutes analytical/unit plus HDF5 schema evidence
- mandatory solver stress output: pass
- direct evidence: `stress_s11` exists with the exact compound schema, exact
unit/coordinate/location attributes, two Gauss rows for each of ten elements,
finite `S11`, and deterministic element/Gauss ordering
No stress reference row was synthesized, and mandatory HDF5 stress was not
treated as optional.
<a id="reference-comparison--physics-evidence-handoff"></a>
### Physics Evidence Handoff
The comparator serialized the following evidence for independent Step 27 review:
| evidence | value |
| --- | --- |
| free residual norm | `9.356339321107032e-7` |
| applied force | `[0, 0, -1000000]` |
| reaction force | `[0, 0, 999999.9999998808]` |
| applied moment about origin | `[0, 10000000, 0]` |
| reaction moment about origin | `[0, -9999999.999997258, 0]` |
| endpoint consistency | `passed=true` |
These values are handed off as evidence only. This Step does not interpret them
as a physics-sanity verdict.
<a id="reference-comparison--failure-classification"></a>
### Failure Classification
- classification: `N/A`
- primary_failure: `N/A`
- evidence: artifact precheck passed; exact comparison CTest passed twice;
176/176 rows and 16/16 metric groups passed; no schema, identity, unit,
coordinate, nonfinite, missing/extra, or tolerance failure was found
- correction_handoff: `N/A`
<a id="reference-comparison--handoff-recommendation"></a>
### Handoff Recommendation
| target_agent | reason | required input |
| --- | --- | --- |
| Physics Evaluation Agent | All required reference comparisons passed the exact approved tolerance. | This report, authoritative build-local `results.h5`, deterministic `comparison.json`, and its `physics_evidence`. |
The handoff status is `pass-for-physics-evaluation` only. Physics sanity remains
responsible for global force/moment equilibrium, reaction sign, displacement
direction, symmetry, section-force consistency, residual interpretation, and
model-coverage adequacy.
<a id="reference-comparison--open-issues"></a>
### Open Issues
- Non-blocking evidence typo: the Step 25 build/test report prints the input
SHA-256 without the second `DB` after `...1DB`; the fresh 64-character pre/post
value in this report matches the unchanged working-tree file. Reference Git
diff/status and the end-to-end reference snapshot check are clean.
- Resolved final-review finding: the Step 26 acceptance probe now reads the
authoritative boolean `passed`, and its exact command passes on the current artifact.
- No issue blocks Physics Evaluation.
<a id="physics-evaluation"></a>
<a id="physics-evaluation--linear-static-3d-euler-beam-physics-evaluation-report"></a>
## Linear Static 3D Euler Beam Physics Evaluation Report
<a id="physics-evaluation--metadata"></a>
### Metadata
- feature_id: `linear-static-3d-euler-beam`
- model_id: `cantilever-beam-b33`
- evaluated_head: `d76d052456ec134a98bcd5aa3b3c18a6b0ad6ba4`
- source_reference_verification_report: `docs/linear-static-3d-euler-beam/verification.md`
- source_reference_model: `docs/linear-static-3d-euler-beam/reference-model.md`
- source_requirement: `docs/linear-static-3d-euler-beam/requirements.md`
- source_formulation: `docs/linear-static-3d-euler-beam/formulation.md`
- source_numerical_review: `docs/linear-static-3d-euler-beam/numerical-review.md`
- source_io_definition: `docs/linear-static-3d-euler-beam/io.md`
- status: `pass-for-release-agent`
- date: `2026-08-09`
This verdict means that the documented physical checks pass and the Release Agent may audit
release readiness. It does not approve release readiness and does not re-evaluate the Step 26
reference tolerance decision.
<a id="physics-evaluation--input-evidence"></a>
### Input Evidence
The reference-verification prerequisite has status `pass-for-physics-evaluation`. Its checked
artifact identity was reproduced before the physics checks and again after the targeted CTest.
| evidence | exact path or identity | status | notes |
| --- | --- | --- | --- |
| reference verification | `docs/linear-static-3d-euler-beam/verification.md` | pass-for-physics-evaluation | Required gate satisfied. |
| solver HDF5 | `.harness/build/reference/cantilever-beam-b33/results.h5` | present and readable | 25,336 bytes; post-acceptance-run SHA-256 `13ECCF68262C14BBDE0F63667C0F10896ACD40EFEC56E8C9121C298333FD9B6D`. |
| comparison evidence | `.harness/build/reference/cantilever-beam-b33/comparison.json` | present and passing | 128,118 bytes; SHA-256 `258347AEA791D981AEA9B2BCAD85DE5344D4859ECA3692DC5E7AA01A848F8E0D`; `passed=true`, 176 rows, 16 metrics. |
| reference input | `reference/cantilever beam/cantilever beam.inp` | exact read-only artifact | SHA-256 `E406EA9560321B791DB829E03BD24593B9875E0195D35B86BD931EDA122EF3`; `TYPE=B33`. |
| reference displacement | `reference/cantilever beam/cantilever beam displacements.csv` | exact read-only artifact | SHA-256 `7B3312FBC8848E81D9A0FD4FF2B56BC1954636A2C14B5C1CBB269CB9477D3C31`. |
| reference reaction | `reference/cantilever beam/cantilever beam reactions.csv` | exact read-only artifact | SHA-256 `BF30CDB0CD50106885DE14D63492737736C587426EBD787DE4F7EE6AA86DAA23`. |
| reference elemental force | `reference/cantilever beam/cantilever beam elemental forces.csv` | exact read-only artifact | SHA-256 `E5E77FEC0FA9482AE018DBF296E74D396335C7C711BD2E9AA2315247A34290BA`. |
| solver CSV views | N/A | not used | No derived FESA CSV was generated or used. |
| stress reference CSV | N/A by approved contract | not applicable | `S11` is evaluated from HDF5 schema, formulation, and analytical/unit evidence only. |
| targeted physics tests | `.harness/build`, MSVC x64 Debug | pass | Exact Step 27 CTest passed 17/17: EulerBeam3D 10, ResultRecovery 6, B33ReferenceComparison 1. |
Read-only HDF5 inspection confirmed schema `0`, solver `0.1.0`, feature identity, `Step-1` frame
`0`, formulation `B33-3D-Euler-Bernoulli`, source content identity
`fnv1a64:04543464cc970405`, and coordinate convention
`global-cartesian; beam-local=(t,n1,t-cross-n1)`. The file contains 11 nodes at
`(x,y,z)=(0..10,0,0)` m and 10 consecutive one-metre elements. Every element has identity local
axes, so local `(x,y,z)` equals global `(X,Y,Z)` for this model.
The documented physical model is a 10 m cantilever with node 1 fixed in all six DOFs and a
free-end global/local `FZ=-1.0e6 N` at node 11. The section and material are SI:
`E=2.1e11 Pa`, `Iy=I11=0.0833333 m^4`, and the only expected deformation mode is local-`z`
translation with bending about local `y`.
<a id="physics-evaluation--physics-checks"></a>
### Physics Checks
All normalized physics criteria below come from the approved `1e-10` residual/equilibrium,
`1e-12` matrix/transform/end-sign, or `1e-9` analytical contracts. They are independent checks of
physical meaning, not a second application of the Abaqus row tolerance.
<a id="physics-evaluation--1-global-equilibrium"></a>
#### 1. global equilibrium
In global Cartesian coordinates, force equilibrium is
`r_F = sum(F_applied) + sum(R)`,
with criterion
`||r_F|| / max(||sum(F_applied)||, ||sum(R)||) <= 1e-10`.
The comparison physics evidence records `sum(F_applied)=[0,0,-1000000] N` and
`sum(R)=[0,0,999999.9999998808] N`. Therefore
`r_F=[0,0,-1.1920928955078125e-7] N`, its norm is
`1.1920928955078125e-7 N`, and the normalized value is
`1.1920928955078125e-13`. Verdict: **pass**.
Moment equilibrium about the global origin is
`r_M = sum(M_applied) + sum(X cross F_applied) + sum(M_reaction) + sum(X cross R_force)`.
The free-end force gives `[0,1.0e7,0] N*m`; the complete HDF5 reaction field gives
`[0,-9999999.999997258,0] N*m`. Thus `r_M=[0,2.7418136596679688e-6,0] N*m`,
with normalized norm `2.7418136596679688e-13` against `1.0e7 N*m`. Verdict: **pass**.
<a id="physics-evaluation--2-reaction-consistency-and-true-free-residual"></a>
#### 2. reaction consistency and true free residual
The constrained reaction contract is `R_c=(K*d-F)_c`. At fixed node 1 the observed global row is
`[RF1,RF2,RF3,RM1,RM2,RM3] = [0,0,1000000.0000008196,0,-10000000.000005051,0]`
in `[N,N,N,N*m,N*m,N*m]`. It opposes the applied `-Z` force and balances its positive origin
moment. Differences from the physical closed-form reactions are `8.195638656616211e-7 N` and
`5.0514936447143555e-6 N*m`, normalized to `8.195638656616211e-13` and
`5.0514936447143555e-13`. Verdict: **pass**.
The reaction dataset intentionally preserves free residuals. The implementation uses
`rho_f = ||(K*d-F)_f||_2 / max(||K*d||_f, ||F||_f)`
with no artificial unit floor. The serialized true free residual norm is
`9.356339321107032e-7 N-equivalent`; the physical free scale is `1.0e6 N`, so
`rho_f=9.356339321107032e-13 <= 1e-10`. The largest observed free force-residual component is
`5.9604644775390625e-7 N`, and the largest free moment-residual component is
`2.0861625671386719e-7 N*m`. Verdict: **pass**.
<a id="physics-evaluation--3-displacement-direction-and-rotation-sign"></a>
#### 3. displacement direction and rotation sign
For free-end local `Pz=-1.0e6 N`, the documented Euler-Bernoulli solution is
`w(L)=Pz*L^3/(3*E*Iy)`, `theta_y(L)=-Pz*L^2/(2*E*Iy)`.
The expected values are `-0.0190476266666697 m` and `+0.00285714400000046 rad`.
HDF5 gives tip `UZ=-0.019047626666677083 m` and `URY=+0.0028571440000013902 rad`, with relative
errors `3.87e-13` and `3.27e-13`, below the analytical `1e-9` criterion. All non-root `UZ` values
are negative and monotonically increase in magnitude toward the loaded tip; all non-root `URY`
values are positive, as required by `theta_y=-dw/dx`. Verdict: **pass**.
<a id="physics-evaluation--4-expected-zero-and-uncoupled-symmetry"></a>
#### 4. expected zero and uncoupled symmetry
The fixed-root displacement row is exactly zero in all six components. Across all nodes,
`UX`, `UY`, `URX`, and `URZ` are exactly zero. The only nonzero kinematic components are `UZ` and
`URY`, and the only physical constrained reactions are `RF3` and `RM2`. In the element recovery,
`epsilon0`, `kappa_x`, and `kappa_z`, and the corresponding `N`, `T`, and `Mz`, are exactly zero.
This is the documented uncoupled local-`z` bending symmetry, with no axial, torsional, or
cross-plane leakage. Verdict: **pass**.
<a id="physics-evaluation--5-element-force-adjacent-endpoints-and-boundary-balance"></a>
#### 5. element force, adjacent endpoints, and boundary balance
The HDF5 `end_force_local` rows are outward endpoint actions in
`[FX,FY,FZ,MX,MY,MZ]`; `section_resultant` rows are positive-local-`x` section cuts in
`[N,T,My,Mz]`. With no distributed load,
`F_X=n*N`, `M_X=n*T`, `M_Y=n*My`, `M_Z=n*Mz`,
`F_Y=-n*dMz/dx`, and `F_Z=n*dMy/dx`, where `n=-1` at `xi=-1` and `n=+1` at `xi=+1`.
Observed section `My` is positive and decreases linearly from
`10000000.000005048 N*m` at the root to `2.4286118949223834e-7 N*m` at the free end. The maximum
positive-face `My` mismatch between adjacent unloaded endpoints is
`2.73110345005989e-7 N*m`, normalized to `2.73110345005989e-14` against the model moment scale.
The comparison ledger independently records `endpoint_consistency_passed=true` without averaging.
Adjacent outward actions cancel. The maximum interior `FZ_right+FZ_left` magnitude is
`5.364418029785156e-7 N` (`5.364418029785156e-13` normalized); the maximum interior
`MY_right+MY_left` magnitude is `2.682209014892578e-7 N*m`
(`2.682209014892578e-14` normalized). Both satisfy the documented end-sign/residual criteria.
At the root, the first element action is exactly the constrained reaction evidence:
`FZ=+1000000.0000008196 N`, `MY=-10000000.000005051 N*m`. At the free boundary, the last element
has `FZ=-999999.9999998808 N` and `MY=-5.9604644775390625e-8 N*m`, balancing the applied end force
and the zero applied end moment to normalized residual scale. Verdict: **pass**.
<a id="physics-evaluation--6-localglobal-mapping-and-section-force-signs"></a>
#### 6. local/global mapping and section-force signs
Every stored local-axis matrix is the identity. Therefore the global `-Z` load is local
`Pz=-1.0e6 N`, `UZ=w<0`, `URY=theta_y>0`, and the positive-face section resultant is
`My=-Pz*(L-x)>0`. The observed outward signs are `FZ>0, MY<0` at left endpoints and
`FZ<0, MY>0` at right endpoints, except for the physically zero free-end moment residue. These
values satisfy the documented `theta_y=-w'`, `My=-E*Iy*w''`, outward-normal, and
positive-face-section-cut conventions. Verdict: **pass**.
<a id="physics-evaluation--7-stress-location-unit-and-sign-sanity"></a>
#### 7. stress location, unit, and sign sanity
The stress contract is
`S11(xi,y,z)=E*(epsilon0 + z*kappa_y - y*kappa_z)`,
where `x1=y`, `x2=z`, the coordinate system is beam local, the unit is `force/length^2`, and the
location is a section point at each of two Gauss points. The reference input has no section
points, so HDF5 correctly contains 20 ordered `fesa-default` centroid rows
`(x1,x2)=(0,0)`, one at each Gauss point of ten elements. This model has pure bending with
`epsilon0=0`; consequently all 20 observed centroid `S11` values are exactly `0 Pa`.
Nonzero location/sign evidence comes only from the approved analytical/unit portfolio, not from
an Abaqus stress comparison. `EulerBeam3D.RecoversSectionPointAndDefaultCentroidS11` passed with
`epsilon0=0.01`, `kappa_y=0.02 1/m`, `kappa_z=-0.03 1/m`, `E=2.1e11 Pa`: the formula gives
`1.575e9 Pa` at `(y,z)=(0.25,-0.5)`, `8.4e8 Pa` at `(-0.4,0.3)`, and `2.1e9 Pa` at the default
centroid. The test enforces the formula at both Gauss points with normalized `1e-12` evidence.
Abaqus beam stress comparison remains explicitly N/A. Verdict: **pass**.
<a id="physics-evaluation--8-nonfinite-rigid-body-abnormal-magnitude-and-energy-symptoms"></a>
#### 8. nonfinite, rigid-body, abnormal-magnitude, and energy symptoms
All mandatory numeric HDF5 rows inspected here are finite; `comparison.json` also records no
nonfinite row among the 176 compared rows and the 20 stress rows are finite. The fixed root is
exactly zero, factorization/solution completed, the normalized free residual is `9.36e-13`, and
the displacement field is smooth, so there is no rigid-body-mode symptom.
For this one-load linear case, the recoverable strain energy is
`U=0.5*F^T*d=9523.81333333854 N*m`, which is finite and positive. The ratios
`|UZ_tip|/L=0.00190476266666771` and `|URY_tip|=0.00285714400000139 rad` agree with the analytical
solution and show no abnormal magnitude relative to the documented small-displacement/rotation
model. The targeted rank/energy test also passed the six-rigid-mode, rank-six, and positive
deformation-energy checks. Verdict: **pass**.
<a id="physics-evaluation--9-model-coverage"></a>
#### 9. model coverage
The approved B33 bundle is one identity-axis local-`z` bending cantilever. It directly covers the
end-to-end parser/solver/HDF5 path, global equilibrium, reaction sign, `UZ/URY`, `My/FZ`, endpoint
continuity, and the centroid stress fallback. It does not by itself cover axial, torsion, local-`y`
bending, rotated space, nonzero fiber stress, prescribed displacement, or the formulation-only
line-load kernel. The targeted analytical/unit portfolio supplies the documented complementary
coverage:
| coverage | targeted passing evidence | criterion |
| --- | --- | --- |
| axial, torsion, both bending planes | `EulerBeam3D.AnalyticalAxialTorsionAndTwoPlaneBendingRecover` and `ResultRecovery.MatchesAxialTorsionAndTwoPlaneEndSigns` | analytical relative `1e-9`; signed recovery contract |
| rotated local/global mapping | `EulerBeam3D.RotatedTransformPreservesWorkAndEnergy` | transform/work/energy normalized `1e-12` |
| constant local line-load kernel | `EulerBeam3D.ConstantLineLoadMatchesAllSignedComponents` | all 12 signed components normalized `1e-12`; `*DLOAD` remains outside CLI scope |
| rigid modes, rank, and energy | `EulerBeam3D.HasSixRigidModesRankSixAndPositiveDeformationEnergy` | rigid residual `1e-10`, rank six, positive deformation energy |
| prescribed displacement and residual | `ResultRecovery.ComputesResidualReactionForNonzeroPrescription`, `ResultRecovery.EnforcesNormalizedFreeResidual` | partition/reaction and normalized residual `1e-10` |
| result identity and continuity | `ResultRecovery.KeepsEndActionSectionAndGaussResultsDistinct`, `ResultRecovery.RequiresInteriorEndpointConsistencyWithoutAveraging` | distinct locations and no-average consistency |
| S11 location/sign/default | `EulerBeam3D.RecoversSectionPointAndDefaultCentroidS11`, `ResultRecovery.OrdersStressPointsAndDefaultCentroid` | formula/schema normalized `1e-12` |
The exact acceptance command passed all 17 selected tests. The single reference model plus this
analytical portfolio covers every documented physical expectation without attributing unsupported
coverage to the legacy CSV bundle. Verdict: **pass**.
<a id="physics-evaluation--failure-classification"></a>
### Failure Classification
- classification: `N/A`
- primary_failure: `N/A`
- evidence: all documented physics checks passed; no equilibrium, reaction, displacement,
symmetry, element-force, stress-location, rigid-body, nonfinite, coverage, contract, or
environment failure was found
- correction_handoff: `N/A`
<a id="physics-evaluation--evaluation-verdict"></a>
### Evaluation Verdict
- verdict: `pass-for-release-agent`
- reason: the exact reference gate and artifact identity are valid; force and origin-moment
equilibrium, constrained reaction consistency, true free residual, deformation signs, expected
zeros, element force balance, local/global and section-force signs, S11 schema/analytical sanity,
finite/energy/mode checks, and complementary model coverage all satisfy their documented criteria
- release_approval: `not granted by this report`
<a id="physics-evaluation--handoff-recommendation"></a>
### Handoff Recommendation
| target_agent | reason | required_input |
| --- | --- | --- |
| Release Agent | All documented physical checks passed. | This report, the Step 26 reference-verification report, exact build-local HDF5/comparison identities, targeted CTest evidence, and the limitations below. |
<a id="physics-evaluation--open-issues"></a>
### Open Issues
- Non-blocking coverage limitation: the approved Abaqus bundle is one identity-axis local-`z`
bending cantilever. Axial, torsion, local-`y`, rotated, prescribed-displacement, line-load, and
nonzero stress checks rely on the approved analytical/unit portfolio; no broader Abaqus reference
coverage is claimed.
- Non-blocking stress limitation: the B33 bundle has no section points, so its physical `S11`
evidence is the correct zero centroid result. Nonzero fiber location/sign evidence is analytical;
Abaqus beam stress comparison remains N/A.
- Non-blocking output limitation: HDF5 has no strain-energy dataset by contract. The positive energy
value in this report is calculated from `0.5*F^T*d` and is supported by the rank/energy unit test.
- Known formulation limitations remain: Euler-Bernoulli deep-beam applicability, transverse and
torsional shear stress, warping, `I12!=0`, B31/Timoshenko behavior, and CLI `*DLOAD` are outside V0.
- No open issue blocks Release Agent review.