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