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type, title, updated, tags, domain, status, related
| type | title | updated | tags | domain | status | related | |||
|---|---|---|---|---|---|---|---|---|---|
| meta | Concepts Index | 2026-05-28 |
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computational-mechanics | evergreen |
Concepts Index
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All concept pages: finite-element and computational-mechanics concepts extracted from sources.
Computational Mechanics
- Finite Element Method - numerical procedure for solving discretized engineering and physics models
- Engineering Mathematical Models - idealized physical models selected before finite element solution
- Displacement-Based Finite Element Formulation - primary solid mechanics formulation using nodal displacements
- Isoparametric Finite Elements - shape-function framework for geometry mapping and element matrix calculation
- Isoparametric Linear Solid Elements - first-order 3D continuum elements using isoparametric interpolation
- Solid Element Shape Functions - interpolation functions for tetrahedral, pyramid, wedge, and hexahedral solid elements
- Solid Element Strain-Displacement Matrix - 3D solid element
Bmatrix and Jacobian derivative mapping - Solid Element Stiffness Integration - numerical integration of
B^T D Bover element volume - Incompatible Mode Solid Elements - internal-mode enrichment and static condensation for solid elements
- Mixed Finite Element Formulations - multi-field formulations for incompressibility, constraints, and pressure-like variables
- Nonlinear Finite Element Analysis - incremental solution of geometric, material, contact, and load nonlinearities
- Continuum Mechanics Based Four-Node Shell Element - low-order shell element derived from continuum mechanics for nonlinear analysis
- Assumed Transverse Shear Strain Interpolation - shell locking remedy using a separately interpolated transverse shear field
- Total Lagrangian Shell Formulation - reference-configuration formulation for large displacement and rotation shell response
- MITC4 Shell Element - four-node quadrilateral shell element using mixed interpolation of tensorial components
- MITC Shell Kinematics - director-vector kinematic model for MITC shell elements
- Green-Lagrange Strain Linearization - nonlinear strain expansion for internal force and tangent stiffness terms
- Nonlinear Newmark-Beta Integration - implicit Newmark time stepping with Newton-Raphson nonlinear iterations
- Dynamic Buckling Analysis - instability analysis of structures under time-varying compressive loading
- Dynamic Instability Region - load-frequency instability boundary for parametric buckling
- Geometric Stiffness Matrix - initial stress stiffness contribution used in nonlinear and buckling analysis
- Scordelis-Lo Shell Benchmark - cylindrical shell benchmark for shell element convergence and locking behavior
- Basic Shell Mathematical Model - midsurface/director shell model underlying continuum shell finite elements
- Shell Structure Asymptotic Behavior - bending, membrane, and mixed thin-shell response classes
- Shell Locking Phenomenon - membrane and shear locking as artificial stiffness in thin-shell FE solutions
- Uniform Optimal Convergence - thickness-uniform optimal convergence target for shell elements
- Shell Element Benchmark Testing - structured performance testing for shell finite elements
- Finite Element Heat Transfer and Field Problems - finite element treatment of heat transfer, field equations, flow, and coupled problems
- Static Equilibrium Equation Solvers - direct, iterative, and nonlinear solvers for static FE equations
- Direct Time Integration Methods - transient finite element dynamics and first-order field integration
- Finite Element Eigenproblem Solvers - modal and eigenvalue algorithms for FE matrices
- Finite Element Program Implementation - software data flow for FE codes and STAP-style implementation