김경종
4.7 KiB
4.7 KiB
type, title, created, updated, address, tags, status, related, sources
| type | title | created | updated | address | tags | status | related | sources | |||
|---|---|---|---|---|---|---|---|---|---|---|---|
| domain | Computational Mechanics | 2026-05-28 | 2026-05-28 | c-000005 |
|
current |
Computational Mechanics
Scope
Computational mechanics uses numerical methods to model, discretize, and solve physical problems in solids, structures, heat transfer, fluids, field problems, and coupled multiphysics systems. This vault currently enters the domain through Finite Element Procedures, Solid Element Notes, the shell element paper A Continuum Mechanics Based Four-Node Shell, the MITC4 implementation paper Four-Node-Quadrilateral-Shell-Element-MITC4, MITC Study Notes, the shell buckling thesis Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method, and the shell FE review On-the-Finite-Element-Analysis-of-Shell-Structures.
Core Threads
- Engineering Mathematical Models - how physical problems become solvable mathematical models.
- Finite Element Method - the central discretization workflow.
- Displacement-Based Finite Element Formulation - the primary formulation for linear solid and structural mechanics.
- Isoparametric Finite Elements - the element construction and matrix computation framework.
- Isoparametric Linear Solid Elements, Solid Element Shape Functions, Solid Element Strain-Displacement Matrix, Solid Element Stiffness Integration, and Incompatible Mode Solid Elements - 3D continuum solid element formulation and enrichment.
- Mixed Finite Element Formulations - stable formulations for incompressibility and constrained fields.
- Nonlinear Finite Element Analysis - incremental, iterative treatment of geometric, material, and contact nonlinearities.
- Continuum Mechanics Based Four-Node Shell Element, Assumed Transverse Shear Strain Interpolation, and Total Lagrangian Shell Formulation - shell-element formulation details for nonlinear thin and thick shell analysis.
- MITC4 Shell Element and Scordelis-Lo Shell Benchmark - implementation-oriented shell element validation and locking assessment.
- Basic Shell Mathematical Model, Shell Structure Asymptotic Behavior, Shell Locking Phenomenon, Uniform Optimal Convergence, and Shell Element Benchmark Testing - shell FE reliability criteria for thin-shell behavior and element testing.
- MITC Shell Kinematics, Green-Lagrange Strain Linearization, and Nonlinear Newmark-Beta Integration - derivation-level bridge from shell kinematics to nonlinear dynamics.
- Dynamic Buckling Analysis, Dynamic Instability Region, and Geometric Stiffness Matrix - stability workflow for dynamically compressed shell and plate structures.
- Static Equilibrium Equation Solvers, Direct Time Integration Methods, and Finite Element Eigenproblem Solvers - solver families for different equation types.
- Finite Element Program Implementation - the practical data flow from input to element calculations, assembly, solution, and stress recovery.
Current Source Base
- Finite Element Procedures by Klaus-Jurgen Bathe.
- Solid Element Notes from
.raw/SolidElement/. - A Continuum Mechanics Based Four-Node Shell by Eduardo N. Dvorkin and Klaus-Jurgen Bathe.
- Four-Node-Quadrilateral-Shell-Element-MITC4 by Edita Dvorakova and Borek Patzak.
- MITC Study Notes from
.raw/MITC공부/. - Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method by Hee Jun Lee.
- On-the-Finite-Element-Analysis-of-Shell-Structures by Phill-Seung Lee and Hyuk-Chun Noh.