김경종
205 lines
16 KiB
Markdown
205 lines
16 KiB
Markdown
---
|
|
type: meta
|
|
title: "Concepts Index"
|
|
updated: 2026-06-01
|
|
tags:
|
|
- meta
|
|
- index
|
|
- concept
|
|
domain: computational-mechanics
|
|
status: evergreen
|
|
related:
|
|
- "[[index]]"
|
|
- "[[dashboard]]"
|
|
- "[[Wiki Map]]"
|
|
- "[[Computational Mechanics]]"
|
|
- "[[Finite Element Method]]"
|
|
- "[[Continuum Mechanics Based Four-Node Shell Element]]"
|
|
- "[[MITC4 Shell Element]]"
|
|
- "[[MITC Shell Kinematics]]"
|
|
- "[[Dynamic Buckling Analysis]]"
|
|
- "[[Shell Structure Asymptotic Behavior]]"
|
|
- "[[Isoparametric Linear Solid Elements]]"
|
|
- "[[Abaqus Analysis Procedures]]"
|
|
- "[[Abaqus Element Library]]"
|
|
- "[[Abaqus Element Selection and Formulation]]"
|
|
- "[[Abaqus Continuum Element Families]]"
|
|
- "[[Abaqus Structural Element Families]]"
|
|
- "[[Abaqus Beam and Shell Section Definitions]]"
|
|
- "[[Abaqus Inertial Rigid and Capacitance Elements]]"
|
|
- "[[Abaqus Connector Elements and Behaviors]]"
|
|
- "[[Abaqus Cohesive and Gasket Elements]]"
|
|
- "[[Abaqus Special-Purpose Interaction Elements]]"
|
|
- "[[Abaqus Fluid Acoustic Eulerian and Particle Elements]]"
|
|
- "[[Abaqus User-Defined Elements]]"
|
|
- "[[Abaqus Element Indexes and Naming Conventions]]"
|
|
- "[[Abaqus Prescribed Conditions and Amplitudes]]"
|
|
- "[[Abaqus Initial and Boundary Conditions]]"
|
|
- "[[Abaqus Loads and Predefined Fields]]"
|
|
- "[[Abaqus Kinematic Constraints and MPCs]]"
|
|
- "[[Abaqus Surface-Based Constraints and Couplings]]"
|
|
- "[[Abaqus Embedded Elements and Overconstraints]]"
|
|
- "[[Abaqus Contact Interaction Definition]]"
|
|
- "[[Abaqus Contact Property Models]]"
|
|
- "[[Abaqus Contact Formulations and Enforcement]]"
|
|
- "[[Abaqus Contact Diagnostics and Modeling Difficulties]]"
|
|
- "[[Abaqus Standard Contact Elements]]"
|
|
- "[[Abaqus Cavity Radiation Interactions]]"
|
|
- "[[Abaqus Input File Syntax]]"
|
|
- "[[Abaqus Spatial Model Definition]]"
|
|
- "[[Abaqus Surface and Assembly Modeling]]"
|
|
- "[[Abaqus Matrix-Based Model Definition]]"
|
|
- "[[Abaqus Job Execution Workflow]]"
|
|
- "[[Abaqus Resource and Parallel Execution]]"
|
|
- "[[Abaqus Output Database and Results Files]]"
|
|
- "[[Abaqus General and Linear Perturbation Steps]]"
|
|
- "[[Abaqus Nonlinear Solution Control]]"
|
|
- "[[Abaqus Restart and Results Transfer]]"
|
|
- "[[Abaqus Substructuring and Submodeling]]"
|
|
- "[[Abaqus Matrix Generation and Reduced Models]]"
|
|
- "[[Abaqus Fracture and Enriched Discontinuity Modeling]]"
|
|
- "[[Abaqus Adaptivity and Mesh Replacement]]"
|
|
- "[[Abaqus Explicit Analysis Efficiency Techniques]]"
|
|
- "[[Abaqus Eulerian and Particle Methods]]"
|
|
- "[[Abaqus Multiphysics Coupling and Co-simulation]]"
|
|
- "[[Abaqus Structural Optimization and Parametric Studies]]"
|
|
- "[[Abaqus User Subroutines and Utility Routines]]"
|
|
- "[[Abaqus Material Library and Data Definition]]"
|
|
- "[[Abaqus Elastic Material Models]]"
|
|
- "[[Abaqus Hyperelastic and Viscoelastic Materials]]"
|
|
- "[[Abaqus Metal Plasticity Models]]"
|
|
- "[[Abaqus Geomaterial and Concrete Plasticity]]"
|
|
- "[[Abaqus Progressive Damage and Failure]]"
|
|
- "[[Abaqus Hydrodynamic Equation of State Materials]]"
|
|
- "[[Abaqus Thermal Expansion and Damping Materials]]"
|
|
- "[[Abaqus Transport Acoustic and Electromagnetic Materials]]"
|
|
- "[[Abaqus Porous Media and Pore Fluid Materials]]"
|
|
- "[[Abaqus User-Defined Material Behavior]]"
|
|
- "[[Reduced Integration and Hourglass Control]]"
|
|
- "[[Hybrid Incompressible Elements]]"
|
|
- "[[Abaqus Constitutive Integration]]"
|
|
- "[[Finite Element Contact Formulation]]"
|
|
- "[[Direct Stiffness Method]]"
|
|
- "[[Bar and Truss Finite Elements]]"
|
|
- "[[Beam and Frame Finite Elements]]"
|
|
- "[[Plane Stress and Plane Strain Elements]]"
|
|
- "[[Axisymmetric Finite Elements]]"
|
|
- "[[Finite Element Load Vector Assembly]]"
|
|
- "[[Finite Element Modeling and Convergence Checks]]"
|
|
- "[[Finite Element Thermal Stress Analysis]]"
|
|
---
|
|
|
|
# Concepts Index
|
|
|
|
Navigation: [[index]] | [[entities/_index|Entities]] | [[sources/_index|Sources]]
|
|
|
|
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 `B` matrix and Jacobian derivative mapping
|
|
- [[Solid Element Stiffness Integration]] - numerical integration of `B^T D B` over 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
|
|
- [[Abaqus Analysis Procedures]] - Abaqus procedure families for nonlinear, dynamic, modal, buckling, coupled-field, and special analyses
|
|
- [[Abaqus Element Library]] - Abaqus element formulations, interpolation, numerical integration, and multi-field element choices
|
|
- [[Abaqus Element Selection and Formulation]] - Abaqus element family, degrees of freedom, interpolation, formulation, and integration selection workflow
|
|
- [[Abaqus Continuum Element Families]] - Abaqus solid, fluid continuum, infinite, warping, and coupled-field continuum elements
|
|
- [[Abaqus Structural Element Families]] - Abaqus membrane, truss, beam, frame, elbow, shell, continuum shell, and axisymmetric shell elements
|
|
- [[Abaqus Beam and Shell Section Definitions]] - beam cross-sections, shell thickness, composite layers, and section integration
|
|
- [[Abaqus Inertial Rigid and Capacitance Elements]] - concentrated mass, rotary inertia, rigid geometry, and point heat capacitance
|
|
- [[Abaqus Connector Elements and Behaviors]] - connector topology, connection types, actuation, and nonlinear connector behavior
|
|
- [[Abaqus Cohesive and Gasket Elements]] - cohesive interface, traction-separation, pore-pressure cohesive, and gasket behavior
|
|
- [[Abaqus Special-Purpose Interaction Elements]] - springs, dashpots, joints, couplings, surface elements, line springs, pipe-soil, and acoustic interfaces
|
|
- [[Abaqus Fluid Acoustic Eulerian and Particle Elements]] - acoustic, fluid, Eulerian, fluid pipe, DEM, and SPH element workflows
|
|
- [[Abaqus User-Defined Elements]] - UEL, UELMAT, VUEL, custom DOFs, state variables, and user-element limitations
|
|
- [[Abaqus Element Indexes and Naming Conventions]] - element prefixes, suffixes, formulation markers, and Standard/Explicit/CFD indexes
|
|
- [[Abaqus Prescribed Conditions and Amplitudes]] - prescribed-condition classes, amplitude curves, and time-history rules
|
|
- [[Abaqus Initial and Boundary Conditions]] - initial values, boundary conditions, propagation, modification, and removal
|
|
- [[Abaqus Loads and Predefined Fields]] - concentrated, distributed, thermal, electromagnetic, acoustic, pore-fluid, pretension, connector, and predefined-field workflows
|
|
- [[Abaqus Kinematic Constraints and MPCs]] - linear equations, multi-point constraints, user MPCs, and kinematic couplings
|
|
- [[Abaqus Surface-Based Constraints and Couplings]] - tie, coupling, shell-to-solid, and surface-based constraint workflows
|
|
- [[Abaqus Embedded Elements and Overconstraints]] - embedded elements, element end release, and overconstraint diagnostics
|
|
- [[Abaqus Contact Interaction Definition]] - general contact, contact pair, and contact element definition workflow
|
|
- [[Abaqus Contact Property Models]] - normal, frictional, damping, cohesive, thermal, electrical, and pore-fluid contact properties
|
|
- [[Abaqus Contact Formulations and Enforcement]] - contact discretization, sliding, penalty, Lagrange multiplier, and augmented enforcement choices
|
|
- [[Abaqus Contact Diagnostics and Modeling Difficulties]] - contact overclosure, surface quality, redundant constraint, and diagnostic workflows
|
|
- [[Abaqus Standard Contact Elements]] - Abaqus/Standard gap, tube-to-tube, slide line, and rigid surface contact elements
|
|
- [[Abaqus Cavity Radiation Interactions]] - enclosure radiation, view factors, emissivity, open/closed cavities, and parallel cavity decomposition
|
|
- [[Abaqus Input File Syntax]] - keyword, data-line, model-data, and history-data syntax for Abaqus input files
|
|
- [[Abaqus Spatial Model Definition]] - nodes, elements, sets, coordinate systems, and spatial model topology in Abaqus
|
|
- [[Abaqus Surface and Assembly Modeling]] - named surfaces and part-instance assemblies for contact, loads, constraints, and output
|
|
- [[Abaqus Matrix-Based Model Definition]] - direct matrix input and assembly for stiffness, mass, and damping components
|
|
- [[Abaqus Job Execution Workflow]] - command-line analysis, checks, recovery, conversion, and utilities
|
|
- [[Abaqus Resource and Parallel Execution]] - environment, memory, scratch, CPU, MPI/thread, domain, and GPU settings
|
|
- [[Abaqus Output Database and Results Files]] - ODB, SIM, selected results, status, message, restart, and diagnostic files
|
|
- [[Abaqus General and Linear Perturbation Steps]] - step classes, state propagation, perturbation procedures, and load-case interpretation
|
|
- [[Abaqus Nonlinear Solution Control]] - increments, Newton iterations, residual convergence, stabilization, and time-integration controls
|
|
- [[Abaqus Restart and Results Transfer]] - restart, import, state transfer, and staged analysis continuation
|
|
- [[Abaqus Substructuring and Submodeling]] - reduced substructures and global-to-local refined submodels
|
|
- [[Abaqus Matrix Generation and Reduced Models]] - generated stiffness, mass, damping, and load matrices for reuse or exchange
|
|
- [[Abaqus Fracture and Enriched Discontinuity Modeling]] - contour integrals, crack propagation, line springs, and XFEM discontinuities
|
|
- [[Abaqus Adaptivity and Mesh Replacement]] - ALE adaptive meshing, adaptive remeshing, and mesh-to-mesh solution mapping
|
|
- [[Abaqus Explicit Analysis Efficiency Techniques]] - mass scaling, selective subcycling, and steady-state detection for Abaqus/Explicit
|
|
- [[Abaqus Eulerian and Particle Methods]] - Eulerian volume fractions, CEL analysis, DEM, SPH, and particle generation
|
|
- [[Abaqus Multiphysics Coupling and Co-simulation]] - sequential predefined-field coupling and runtime solver co-simulation
|
|
- [[Abaqus Structural Optimization and Parametric Studies]] - structural optimization, design sensitivity, and scripted parametric studies
|
|
- [[Abaqus User Subroutines and Utility Routines]] - compiled extension points, utility routines, and external database hooks
|
|
- [[Abaqus Material Library and Data Definition]] - material blocks, behavior combinations, temperature/field dependencies, distributions, and density
|
|
- [[Abaqus Elastic Material Models]] - linear, modified, porous, and hypoelastic material definitions
|
|
- [[Abaqus Hyperelastic and Viscoelastic Materials]] - large-strain elastomer, foam, Mullins, permanent-set, and viscoelastic behavior
|
|
- [[Abaqus Metal Plasticity Models]] - metal plasticity, hardening, rate dependence, creep, annealing, Johnson-Cook, and specialized metal models
|
|
- [[Abaqus Geomaterial and Concrete Plasticity]] - pressure-dependent geomaterial, foam, jointed-media, and concrete plasticity
|
|
- [[Abaqus Progressive Damage and Failure]] - damage initiation, evolution, mesh regularization, composite damage, fatigue damage, and element deletion
|
|
- [[Abaqus Hydrodynamic Equation of State Materials]] - Abaqus/Explicit pressure-density-energy EOS material behavior
|
|
- [[Abaqus Thermal Expansion and Damping Materials]] - damping, thermal expansion, field expansion, and viscosity material definitions
|
|
- [[Abaqus Transport Acoustic and Electromagnetic Materials]] - thermal, acoustic, diffusion, electrical, piezoelectric, dielectric, and magnetic material properties
|
|
- [[Abaqus Porous Media and Pore Fluid Materials]] - permeability, porous bulk moduli, sorption, swelling gel, and moisture swelling
|
|
- [[Abaqus User-Defined Material Behavior]] - UMAT, VUMAT, UMATHT, state variables, material Jacobians, and deletion flags
|
|
- [[Reduced Integration and Hourglass Control]] - under-integration tradeoffs, zero-energy modes, and stabilization
|
|
- [[Hybrid Incompressible Elements]] - mixed displacement-pressure treatment for incompressible and nearly incompressible materials
|
|
- [[Abaqus Constitutive Integration]] - material-point stress updates, state variables, and consistent material tangents
|
|
- [[Finite Element Contact Formulation]] - surface interaction, contact constraints, and nonlinear interface behavior
|
|
- [[Direct Stiffness Method]] - displacement-based stiffness assembly workflow for element systems
|
|
- [[Bar and Truss Finite Elements]] - axial structural elements, coordinate transformation, and truss analysis
|
|
- [[Beam and Frame Finite Elements]] - beam, frame, grid, and spatial member finite element formulations
|
|
- [[Plane Stress and Plane Strain Elements]] - two-dimensional continuum elements for plane idealizations
|
|
- [[Axisymmetric Finite Elements]] - reduced-dimensional elements for bodies of revolution under symmetric loading
|
|
- [[Finite Element Load Vector Assembly]] - equivalent nodal force construction for distributed, body, surface, and thermal loads
|
|
- [[Finite Element Modeling and Convergence Checks]] - mesh quality, symmetry, stress interpretation, and convergence checks
|
|
- [[Finite Element Thermal Stress Analysis]] - thermal strain and equivalent force treatment for constrained temperature change
|
|
- [[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
|
|
|
|
---
|
|
|
|
## Add new concepts here as they are extracted from sources.
|