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AbaqusSubroutineDev/phases/uel-3d-euler-beam/step2.md
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2026-06-11 11:08:44 +09:00

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# Step 2: formulation
## Read First
- `/AGENTS.md`
- `/docs/ABAQUS_SUBROUTINE_AGENT_DESIGN.md`
- `/docs/ARCHITECTURE.md`
- `/docs/ADR.md`
- `/.codex/skills/abaqus-subroutine-formulation/SKILL.md`
- `/docs/requirements/uel-3d-euler-beam.md`
- `/docs/research/uel-3d-euler-beam-research.md`
- `/docs/formulations/README.md`
## Task
Create `/docs/formulations/uel-3d-euler-beam.md`.
Define the implementable finite element formulation for the first 3D Euler-Bernoulli beam `UEL` scope. Include:
- Element topology, node ordering, local axes, and DOF ordering.
- Required material and section parameters.
- Local 12x12 stiffness matrix terms for axial, torsion, bending about local 2, and bending about local 3.
- Transformation matrix from local to global coordinates and orientation-vector validation.
- Internal force/residual relation for static small-displacement analysis.
- `AMATRX` and `RHS` contribution rules by `LFLAGS` for the supported procedure subset.
- Numerical tolerances for zero length, near-parallel orientation vector, non-positive section/material properties, and matrix symmetry.
- State variable policy. If no persistent state is needed, state that `SVARS` is not used except optional diagnostics approved by requirements.
- Output recovery quantities that external CSV validation should compare.
Do not define the full Abaqus ABI signature here unless needed to express formulation responsibilities; the interface step owns the ABI contract.
Do not create or modify Fortran source, tests, reference artifacts, or implementation plans in this step.
## Tests To Write First
- None. This is a formulation artifact step.
## Acceptance Criteria
```bash
python -m unittest discover -s scripts -p "test_*.py"
python scripts/validate_reference_artifacts.py
python scripts/validate_workspace.py
```
The step is complete only when `/docs/formulations/uel-3d-euler-beam.md` has enough matrix, residual, and transformation detail for a later implementation step to code without inventing physics.
## Validation Notes
- Keep solver-result validation as externally generated ODB-extracted CSV evidence.
- Update `/phases/uel-3d-euler-beam/index.json` step 2 with `completed`, `error`, or `blocked` and a concrete summary or reason.
## Forbidden
- Do not add JavaScript/TypeScript/npm fallback.
- Do not run Abaqus analyses from this project.
- Do not generate reference CSVs.
- Do not create Fortran production source.
- Do not break existing tests.