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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
- 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