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tags:
- meta
- overview
status: developing
status: current
related:
- "[[index]]"
- "[[hot]]"
- "[[log]]"
- "[[dashboard]]"
- "[[LLM Wiki Pattern]]"
- "[[Finite Element Procedures]]"
- "[[A Continuum Mechanics Based Four-Node Shell]]"
- "[[Four-Node-Quadrilateral-Shell-Element-MITC4]]"
- "[[MITC Study Notes]]"
- "[[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method]]"
- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
- "[[Solid Element Notes]]"
- "[[Computational Mechanics]]"
sources:
- "[[Finite Element Procedures]]"
- "[[A Continuum Mechanics Based Four-Node Shell]]"
- "[[Four-Node-Quadrilateral-Shell-Element-MITC4]]"
- "[[MITC Study Notes]]"
- "[[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method]]"
- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
- "[[Solid Element Notes]]"
---
# Wiki Overview
@@ -24,46 +38,103 @@ Navigation: [[index]] | [[hot]] | [[log]] | [[dashboard]]
## Purpose
This is a claude-obsidian wiki vault. It demonstrates the [[LLM Wiki Pattern]]: a system for building persistent, compounding knowledge bases using Claude and Obsidian.
The previous Claude + Obsidian ecosystem research source has been removed. The vault is ready to ingest sources for a different field.
This vault is currently focused on computational mechanics, seeded from [[Finite Element Procedures]] by [[Klaus-Jurgen Bathe]], solid element notes, shell element sources, MITC derivation notes, shell buckling analysis, and [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]] by [[Phill-Seung Lee]] and [[Hyuk-Chun Noh]].
---
## Current Seed Content
**Concepts seeded:**
- [[LLM Wiki Pattern]] - the core architecture
- [[Hot Cache]] - session context mechanism
- [[Compounding Knowledge]] - why the pattern works
**Domain:**
- [[Computational Mechanics]] - finite element analysis, numerical methods, and engineering simulation
**Entities seeded:**
- [[Andrej Karpathy]] - originated the pattern
**Concepts:**
- [[Finite Element Method]] - central computational mechanics workflow
- [[Engineering Mathematical Models]] - how physical problems become solvable models
- [[Displacement-Based Finite Element Formulation]] - primary solid mechanics derivation
- [[Isoparametric Finite Elements]] - element construction and integration framework
- [[Isoparametric Linear Solid Elements]] - 3D continuum element formulation with translational nodal DOFs
- [[Solid Element Shape Functions]] - linear solid element interpolation functions
- [[Solid Element Strain-Displacement Matrix]] - 3D strain-displacement relation and Jacobian mapping
- [[Solid Element Stiffness Integration]] - Gauss integration of solid element stiffness matrices
- [[Incompatible Mode Solid Elements]] - internal-mode enrichment for solid element flexibility
- [[Mixed Finite Element Formulations]] - pressure and constraint-aware formulations
- [[Nonlinear Finite Element Analysis]] - incremental nonlinear solution workflow
- [[Continuum Mechanics Based Four-Node Shell Element]] - four-node shell formulation derived from continuum mechanics
- [[Assumed Transverse Shear Strain Interpolation]] - transverse shear locking remedy for shell elements
- [[Total Lagrangian Shell Formulation]] - large displacement and rotation shell analysis framework
- [[MITC4 Shell Element]] - mixed-interpolation four-node shell element implementation
- [[MITC Shell Kinematics]] - shell director kinematics for MITC derivations
- [[Green-Lagrange Strain Linearization]] - nonlinear strain expansion for tangent construction
- [[Nonlinear Newmark-Beta Integration]] - Newmark time stepping with Newton iterations
- [[Dynamic Buckling Analysis]] - finite element stability analysis under time-varying axial compression
- [[Dynamic Instability Region]] - instability boundary in excitation/load parameter space
- [[Geometric Stiffness Matrix]] - stress stiffness contribution needed for buckling eigenproblems
- [[Scordelis-Lo Shell Benchmark]] - shell element convergence benchmark
- [[Basic Shell Mathematical Model]] - general shell model beneath continuum shell finite elements
- [[Shell Structure Asymptotic Behavior]] - bending, membrane, and mixed behavior as thickness decreases
- [[Shell Locking Phenomenon]] - thickness-dependent artificial stiffness in shell finite element results
- [[Uniform Optimal Convergence]] - convergence target that remains stable across shell thickness regimes
- [[Shell Element Benchmark Testing]] - benchmark methodology for shell element reliability
- [[Finite Element Heat Transfer and Field Problems]] - FE treatment beyond structural mechanics
- [[Static Equilibrium Equation Solvers]] - linear and nonlinear static equation solution
- [[Direct Time Integration Methods]] - transient dynamics and time integration
- [[Finite Element Eigenproblem Solvers]] - modal and eigenvalue algorithms
- [[Finite Element Program Implementation]] - FE code data flow and STAP-style implementation
**Sources seeded:**
- No active source pages.
**Entity:**
- [[Klaus-Jurgen Bathe]] - author of [[Finite Element Procedures]] and co-author of [[A Continuum Mechanics Based Four-Node Shell]]
- [[Eduardo N. Dvorkin]] - co-author of [[A Continuum Mechanics Based Four-Node Shell]]
- [[Edita Dvorakova]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]]
- [[Borek Patzak]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]]
- [[OOFEM]] - finite element code used in the MITC4 implementation
- [[Hee Jun Lee]] - author of the dynamic shell buckling thesis
- [[Phill-Seung Lee]] - author of the shell finite element review
- [[Hyuk-Chun Noh]] - author of the shell finite element review
- [[Inha University]] - degree-granting institution for the thesis
- [[BLZPACK]] - Block Lanczos eigenvalue solver used in the thesis
- [[ABAQUS]] - validation comparison software used in the thesis
**Source:**
- [[Finite Element Procedures]] - finite element analysis textbook
- [[A Continuum Mechanics Based Four-Node Shell]] - shell element formulation paper
- [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]] - MITC4 implementation and validation paper
- [[MITC Study Notes]] - local MITC shell derivation notes
- [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]] - thesis on MITC4 shell dynamic buckling analysis
- [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]] - review of shell mathematical models, asymptotic behavior, locking, convergence, and benchmark testing
- [[Solid Element Notes]] - local notes on linear isoparametric solid elements
---
## Current State
- Sources ingested: 0
- Wiki pages: 40
- Last activity: 2026-05-28 (removed Claude + Obsidian ecosystem research source artifacts)
- Sources ingested: 7
- Wiki pages: 63
- Last activity: 2026-05-28 (ingested solid element notes)
---
## Canvases
- [[claude-obsidian-presentation]] - full presentation: hero, overview, skills, architecture, Wiki vs RAG, visual demos (2026-04-07)
- [[AI Marketing Hub Cover Images Canvas]] - cover image library for AI Marketing Hub brand assets
- [[main]] - default visual reference canvas with a General zone
---
## Key Themes
**Knowledge compounds.** Unlike RAG, the wiki pre-compiles synthesis. Cross-references are already there. Contradictions are flagged. Every ingest enriches existing pages rather than adding isolated chunks.
**Model first, solve second.** The finite element result is only meaningful relative to the selected mathematical model, boundary conditions, materials, loads, and discretization.
**The hot cache is the force multiplier.** A compact file captures recent context. New sessions start with full context at minimal token cost.
**Formulation controls reliability.** Displacement, mixed, isoparametric, nonlinear, transient, and eigenproblem formulations each impose different stability and accuracy requirements.
**Obsidian is the IDE, Claude is the programmer.** The graph view shows what is connected. The human curates sources and asks questions. Claude writes and maintains everything else.
**Solid elements ground the 3D continuum path.** The solid element notes connect natural-coordinate interpolation, Jacobian derivative mapping, `B`/`D` matrices, stiffness integration, and incompatible-mode enrichment.
**Shell elements expose formulation tradeoffs.** Low-order shell elements need careful shear strain interpolation and nonlinear kinematics to avoid locking while preserving computational economy.
**Benchmarks close the loop.** The MITC4 source ties formulation to implementation by using patch tests and the Scordelis-Lo shell benchmark before comparing convergence.
**Derivations connect formulations to solvers.** The MITC study notes link shell director kinematics, Green-Lagrange strain linearization, tangent construction, and nonlinear Newmark-beta dynamics.
**Stability analysis closes the structural loop.** The dynamic buckling thesis connects MITC4 shell modeling, geometric stiffness, eigenvalue solvers, validation benchmarks, and instability-region prediction.
**Thin-shell asymptotics explain shell FE failure modes.** The shell FE review connects basic shell models, bending/membrane/mixed asymptotic behavior, locking, uniform convergence, and benchmark design.
**Implementation matters.** Element-level calculations, assembly, storage, solvers, and stress recovery are part of the method, not afterthoughts.