김경종
137 lines
9.8 KiB
Markdown
137 lines
9.8 KiB
Markdown
---
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type: meta
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title: "Concepts Index"
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updated: 2026-05-29
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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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- "[[Abaqus Analysis Procedures]]"
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- "[[Abaqus Element Library]]"
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- "[[Abaqus Input File Syntax]]"
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- "[[Abaqus Spatial Model Definition]]"
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- "[[Abaqus Surface and Assembly Modeling]]"
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- "[[Abaqus Matrix-Based Model Definition]]"
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- "[[Abaqus Job Execution Workflow]]"
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- "[[Abaqus Resource and Parallel Execution]]"
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- "[[Abaqus Output Database and Results Files]]"
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- "[[Abaqus General and Linear Perturbation Steps]]"
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- "[[Abaqus Nonlinear Solution Control]]"
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- "[[Abaqus Restart and Results Transfer]]"
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- "[[Abaqus Substructuring and Submodeling]]"
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- "[[Abaqus Matrix Generation and Reduced Models]]"
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- "[[Abaqus Fracture and Enriched Discontinuity Modeling]]"
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- "[[Abaqus Adaptivity and Mesh Replacement]]"
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- "[[Abaqus Explicit Analysis Efficiency Techniques]]"
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- "[[Abaqus Eulerian and Particle Methods]]"
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- "[[Abaqus Multiphysics Coupling and Co-simulation]]"
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- "[[Abaqus Structural Optimization and Parametric Studies]]"
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- "[[Abaqus User Subroutines and Utility Routines]]"
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- "[[Reduced Integration and Hourglass Control]]"
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- "[[Hybrid Incompressible Elements]]"
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- "[[Abaqus Constitutive Integration]]"
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- "[[Finite Element Contact Formulation]]"
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- "[[Direct Stiffness Method]]"
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- "[[Bar and Truss Finite Elements]]"
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- "[[Beam and Frame Finite Elements]]"
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- "[[Plane Stress and Plane Strain Elements]]"
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- "[[Axisymmetric Finite Elements]]"
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- "[[Finite Element Load Vector Assembly]]"
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- "[[Finite Element Modeling and Convergence Checks]]"
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- "[[Finite Element Thermal Stress Analysis]]"
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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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- [[Abaqus Analysis Procedures]] - Abaqus procedure families for nonlinear, dynamic, modal, buckling, coupled-field, and special analyses
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- [[Abaqus Element Library]] - Abaqus element formulations, interpolation, numerical integration, and multi-field element choices
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- [[Abaqus Input File Syntax]] - keyword, data-line, model-data, and history-data syntax for Abaqus input files
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- [[Abaqus Spatial Model Definition]] - nodes, elements, sets, coordinate systems, and spatial model topology in Abaqus
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- [[Abaqus Surface and Assembly Modeling]] - named surfaces and part-instance assemblies for contact, loads, constraints, and output
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- [[Abaqus Matrix-Based Model Definition]] - direct matrix input and assembly for stiffness, mass, and damping components
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- [[Abaqus Job Execution Workflow]] - command-line analysis, checks, recovery, conversion, and utilities
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- [[Abaqus Resource and Parallel Execution]] - environment, memory, scratch, CPU, MPI/thread, domain, and GPU settings
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- [[Abaqus Output Database and Results Files]] - ODB, SIM, selected results, status, message, restart, and diagnostic files
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- [[Abaqus General and Linear Perturbation Steps]] - step classes, state propagation, perturbation procedures, and load-case interpretation
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- [[Abaqus Nonlinear Solution Control]] - increments, Newton iterations, residual convergence, stabilization, and time-integration controls
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- [[Abaqus Restart and Results Transfer]] - restart, import, state transfer, and staged analysis continuation
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- [[Abaqus Substructuring and Submodeling]] - reduced substructures and global-to-local refined submodels
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- [[Abaqus Matrix Generation and Reduced Models]] - generated stiffness, mass, damping, and load matrices for reuse or exchange
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- [[Abaqus Fracture and Enriched Discontinuity Modeling]] - contour integrals, crack propagation, line springs, and XFEM discontinuities
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- [[Abaqus Adaptivity and Mesh Replacement]] - ALE adaptive meshing, adaptive remeshing, and mesh-to-mesh solution mapping
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- [[Abaqus Explicit Analysis Efficiency Techniques]] - mass scaling, selective subcycling, and steady-state detection for Abaqus/Explicit
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- [[Abaqus Eulerian and Particle Methods]] - Eulerian volume fractions, CEL analysis, DEM, SPH, and particle generation
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- [[Abaqus Multiphysics Coupling and Co-simulation]] - sequential predefined-field coupling and runtime solver co-simulation
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- [[Abaqus Structural Optimization and Parametric Studies]] - structural optimization, design sensitivity, and scripted parametric studies
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- [[Abaqus User Subroutines and Utility Routines]] - compiled extension points, utility routines, and external database hooks
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- [[Reduced Integration and Hourglass Control]] - under-integration tradeoffs, zero-energy modes, and stabilization
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- [[Hybrid Incompressible Elements]] - mixed displacement-pressure treatment for incompressible and nearly incompressible materials
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- [[Abaqus Constitutive Integration]] - material-point stress updates, state variables, and consistent material tangents
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- [[Finite Element Contact Formulation]] - surface interaction, contact constraints, and nonlinear interface behavior
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- [[Direct Stiffness Method]] - displacement-based stiffness assembly workflow for element systems
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- [[Bar and Truss Finite Elements]] - axial structural elements, coordinate transformation, and truss analysis
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- [[Beam and Frame Finite Elements]] - beam, frame, grid, and spatial member finite element formulations
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- [[Plane Stress and Plane Strain Elements]] - two-dimensional continuum elements for plane idealizations
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- [[Axisymmetric Finite Elements]] - reduced-dimensional elements for bodies of revolution under symmetric loading
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- [[Finite Element Load Vector Assembly]] - equivalent nodal force construction for distributed, body, surface, and thermal loads
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- [[Finite Element Modeling and Convergence Checks]] - mesh quality, symmetry, stress interpretation, and convergence checks
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- [[Finite Element Thermal Stress Analysis]] - thermal strain and equivalent force treatment for constrained temperature change
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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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