김경종
30 KiB
type, title, created, updated, tags, status, related, sources
Wiki Overview
Navigation: index | hot | log | dashboard
Purpose
This vault is currently focused on computational mechanics, seeded from Finite Element Procedures by Klaus-Jurgen Bathe, A-First-Course-in-the-Finite-Element-Method by Daryl L. Logan, Finite-Elements-in-Plasticity-Theory-and-Practice by D. R. J. Owen and E. Hinton, solid element notes, shell element sources, MITC derivation notes, shell buckling analysis, On-the-Finite-Element-Analysis-of-Shell-Structures by Phill-Seung Lee and Hyuk-Chun Noh, the Abaqus Theory Manual, Abaqus Analysis User's Guide Volumes I-V, the Midas-FEA-Analysis-Manual, the Midas-Civil-Analysis-Reference, and the Midas-NFX-Analysis-Manual.
Current Seed Content
Domain:
- Computational Mechanics - finite element analysis, numerical methods, and engineering simulation
Concepts:
- Finite Element Method - central computational mechanics workflow
- Engineering Mathematical Models - how physical problems become solvable models
- Displacement-Based Finite Element Formulation - primary solid mechanics derivation
- Isoparametric Finite Elements - element construction and integration framework
- Isoparametric Linear Solid Elements - 3D continuum element formulation with translational nodal DOFs
- Solid Element Shape Functions - linear solid element interpolation functions
- Solid Element Strain-Displacement Matrix - 3D strain-displacement relation and Jacobian mapping
- Solid Element Stiffness Integration - Gauss integration of solid element stiffness matrices
- Incompatible Mode Solid Elements - internal-mode enrichment for solid element flexibility
- Mixed Finite Element Formulations - pressure and constraint-aware formulations
- Nonlinear Finite Element Analysis - incremental nonlinear solution workflow
- Finite Element Plasticity - irreversible material deformation in an incremental FE solver
- Incremental Elasto-Plastic Solution Methods - direct iteration, Newton-Raphson, tangential stiffness, and initial stiffness plasticity workflows
- Plasticity Yield Criteria - Tresca, von Mises, Mohr-Coulomb, and Drucker-Prager criteria
- Plastic Flow Rules and Hardening - associated/non-associated flow and hardening evolution
- Elasto-Viscoplastic Finite Element Analysis - rate-dependent plasticity and time-step-dependent material updates
- Elasto-Plastic Timoshenko Beam Analysis - structural beam plasticity with shear deformation
- Elasto-Plastic Mindlin Plate Analysis - plate plasticity with through-thickness plastification
- Transient Dynamic Elasto-Plastic Analysis - dynamic analysis with inertia and evolving plastic zones
- Finite Element Plasticity Program Architecture - plasticity solver data structures and module boundaries
- Plasticity Benchmark and Input Data Cases - plasticity verification model patterns
- Abaqus Analysis Procedures - Abaqus procedure families for nonlinear, dynamic, modal, buckling, coupled-field, and special analyses
- Abaqus Element Library - Abaqus element formulation and integration choices
- Abaqus Element Selection and Formulation - Abaqus element family, DOF, interpolation, formulation, and integration selection
- Abaqus Continuum Element Families - solid, fluid continuum, infinite, warping, and coupled-field continuum elements
- Abaqus Structural Element Families - 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 - point mass, rotary inertia, rigid, and point heat-capacitance elements
- Abaqus Connector Elements and Behaviors - connector topology, connection types, actuation, and nonlinear 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 product 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 - Abaqus keyword, data-line, model-data, and history-data syntax
- Abaqus Spatial Model Definition - node, element, set, coordinate-system, and model topology definition
- Abaqus Surface and Assembly Modeling - named surfaces and part-instance assemblies
- Abaqus Matrix-Based Model Definition - direct matrix input and assembly for stiffness, mass, and damping
- Abaqus Job Execution Workflow - command-line analysis checks, recovery, conversion, and utilities
- Abaqus Resource and Parallel Execution - memory, scratch, CPU, MPI/thread, domain, and GPU settings
- Abaqus Output Database and Results Files - ODB, SIM, selected results, status, message, restart, and diagnostic output
- Abaqus General and Linear Perturbation Steps - Abaqus step classes and perturbation-result interpretation
- Abaqus Nonlinear Solution Control - increments, Newton iterations, convergence, stabilization, and time-integration controls
- Abaqus Restart and Results Transfer - restart, import, and staged analysis continuation
- Abaqus Substructuring and Submodeling - reduced substructures and global-to-local refined models
- Abaqus Matrix Generation and Reduced Models - generated matrices for reuse and exchange
- Abaqus Fracture and Enriched Discontinuity Modeling - contour integrals, crack propagation, line springs, and XFEM
- Abaqus Adaptivity and Mesh Replacement - ALE adaptive meshing, remeshing, and solution mapping
- Abaqus Explicit Analysis Efficiency Techniques - mass scaling, subcycling, and steady-state detection
- Abaqus Eulerian and Particle Methods - Eulerian, CEL, DEM, SPH, and particle generation workflows
- Abaqus Multiphysics Coupling and Co-simulation - sequential coupling and runtime solver co-simulation
- Abaqus Structural Optimization and Parametric Studies - optimization, design sensitivity, and parametric study workflows
- Abaqus User Subroutines and Utility Routines - compiled subroutine and utility extension points
- Abaqus Material Library and Data Definition - material blocks, behavior combinations, dependencies, distributions, and density
- Abaqus Elastic Material Models - linear, modified, porous, and hypoelastic response
- Abaqus Hyperelastic and Viscoelastic Materials - elastomer, foam, Mullins, permanent-set, and viscoelastic behavior
- Abaqus Metal Plasticity Models - metal plasticity, hardening, rate effects, creep, 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, and element deletion
- Abaqus Hydrodynamic Equation of State Materials - pressure-density-energy EOS material behavior for Abaqus/Explicit
- Abaqus Thermal Expansion and Damping Materials - damping, thermal expansion, field expansion, and viscosity 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 and zero-energy-mode stabilization
- Hybrid Incompressible Elements - mixed pressure treatment for incompressible response
- Abaqus Constitutive Integration - material-point stress updates and consistent tangent terms
- Finite Element Contact Formulation - surface interaction and contact constraints
- Direct Stiffness Method - stiffness assembly workflow
- Bar and Truss Finite Elements - axial structural elements and truss coordinate transformation
- Beam and Frame Finite Elements - beam, frame, grid, and spatial member elements
- Plane Stress and Plane Strain Elements - 2D continuum stress idealizations
- Axisymmetric Finite Elements - reduced-dimensional body-of-revolution elements
- Finite Element Load Vector Assembly - compatible nodal force construction
- Finite Element Modeling and Convergence Checks - mesh quality, symmetry, stress interpretation, and convergence checks
- Finite Element Thermal Stress Analysis - thermal strain and equivalent nodal force treatment
- Continuum Mechanics Based Four-Node Shell Element - four-node shell formulation derived from continuum mechanics
- Assumed Transverse Shear Strain Interpolation - transverse shear locking remedy for shell elements
- Total Lagrangian Shell Formulation - large displacement and rotation shell analysis framework
- MITC4 Shell Element - mixed-interpolation four-node shell element implementation
- MITC Shell Kinematics - shell director kinematics for MITC derivations
- Green-Lagrange Strain Linearization - nonlinear strain expansion for tangent construction
- Nonlinear Newmark-Beta Integration - Newmark time stepping with Newton iterations
- Dynamic Buckling Analysis - finite element stability analysis under time-varying axial compression
- Dynamic Instability Region - instability boundary in excitation/load parameter space
- Geometric Stiffness Matrix - stress stiffness contribution needed for buckling eigenproblems
- Scordelis-Lo Shell Benchmark - shell element convergence benchmark
- Basic Shell Mathematical Model - general shell model beneath continuum shell finite elements
- Shell Structure Asymptotic Behavior - bending, membrane, and mixed behavior as thickness decreases
- Shell Locking Phenomenon - thickness-dependent artificial stiffness in shell finite element results
- Uniform Optimal Convergence - convergence target that remains stable across shell thickness regimes
- Shell Element Benchmark Testing - benchmark methodology for shell element reliability
- Finite Element Heat Transfer and Field Problems - FE treatment beyond structural mechanics
- Static Equilibrium Equation Solvers - linear and nonlinear static equation solution
- Direct Time Integration Methods - transient dynamics and time integration
- Finite Element Eigenproblem Solvers - modal and eigenvalue algorithms
- Finite Element Program Implementation - FE code data flow and STAP-style implementation
- Midas FEA Analysis Workflow - Midas production analysis workflow for civil nonlinear detail analysis
- Midas FEA Element Library - Midas structural, reinforcement, interface, thermal, and CFD element coverage
- Midas FEA Embedded Reinforcement Modeling - embedded rebar and prestress modeling in host finite elements
- Midas FEA Interface Elements and Nonlinearities - interface elements, cracking, bond-slip, friction, and masonry-joint behavior
- Midas FEA Concrete Cracking and Material Models - plasticity, total strain cracking, concrete, and interface material laws
- Midas FEA Nonlinear Solution Algorithms - equation solvers, Newton variants, arc-length iteration, and convergence checks
- Midas FEA Linear Dynamics and Buckling Analyses - modal, time history, response spectrum, and linear buckling procedures
- Midas FEA Construction Stage Analysis - staged activation, concrete aging, creep, shrinkage, and state transfer
- Midas FEA Heat Transfer and Hydration Analysis - heat transfer, hydration heat, equivalent age, and thermal stress
- Midas FEA Static Contact Analysis - penalty contact, contact search, weld/general contact, and contact force output
- Midas FEA Fatigue Analysis - S-N fatigue, rainflow counting, mean stress correction, and Miner damage
- Midas FEA CFD Analysis - structured-grid RANS CFD for wind and aerodynamic coefficient workflows
- Midas Civil Numerical Analysis Model - civil structural model topology, coordinate systems, nodes, elements, and boundary data
- Midas Civil Element Library and Section Stiffness - member, continuum, cable, gap, and section stiffness inputs for bridge/civil analysis
- Midas Civil Boundary Supports and Links - supports, springs, elastic links, general links, rigid links, offsets, and prescribed displacements
- Midas Civil Dynamic and Seismic Analysis - eigenvectors, Ritz vectors, damping, response spectrum, and time-history procedures
- Midas Civil Buckling P-Delta and Geometric Nonlinearity - buckling, second-order, and geometric nonlinear analysis context
- Midas Civil Boundary and Material Nonlinear Analysis - nonlinear supports, plasticity, hardening, Newton iteration, and arc-length control
- Midas Civil Pushover and Performance Evaluation - static incremental seismic capacity and performance evaluation workflow
- Midas Civil Nonlinear Time History and Hysteresis Models - inelastic dynamic analysis, hysteresis laws, interaction hinges, and fiber models
- Midas Civil Construction Stage and Time-Dependent Analysis - staged activation, creep, shrinkage, strength development, and bridge equilibrium
- Midas Civil Heat of Hydration and Thermal Stress Analysis - heat transfer, hydration heat, equivalent age, thermal stress, shrinkage, and creep
- Midas Civil PSC and Prestress Loss Analysis - prestressed concrete loading and loss analysis for bridge members
- Midas Civil Moving Load Bridge Analysis - lane, traffic surface, vehicle, and placement workflow for bridge moving loads
- Midas Civil Special Load and Design Utilities - settlement, composite-section, unknown-load, column-design, and wave-load utilities
- Midas NFX Analysis Workflow - general-purpose NFX model, analysis-case, coordinate-system, and result-check workflow
- Midas NFX Element Library - structural, thermal, field, mass, spring, rigid, weld, bolt, and gasket element coverage
- Midas NFX Material and Composite Models - material, composite laminate, failure, fatigue, and temperature-dependent property definitions
- Midas NFX Equation Solvers and Eigen Extraction - direct/iterative equation solvers, convergence controls, and eigen extraction methods
- Midas NFX Linear Dynamics and Buckling Analyses - modal, response spectrum, frequency response, transient, and buckling procedures
- Midas NFX Nonlinear Static and Dynamic Algorithms - geometric, material, and dynamic nonlinear solution controls
- Midas NFX Contact Analysis - contact pair definition, search, enforcement, friction, and contact-result workflow
- Midas NFX Fatigue Analysis - stress-life, strain-life, event, load-history, and fatigue-damage workflow
- Midas NFX Heat Transfer Joule Heating and Thermal Stress - thermal, electrical, Joule-heating, and sequential thermal-stress workflows
- Midas NFX Structural Optimization and Forming Limit Analysis - topology, size, shape optimization, and sheet-metal forming-limit checks
Entity:
- Klaus-Jurgen Bathe - author of Finite Element Procedures and co-author of A Continuum Mechanics Based Four-Node Shell
- Eduardo N. Dvorkin - co-author of A Continuum Mechanics Based Four-Node Shell
- Edita Dvorakova - co-author of Four-Node-Quadrilateral-Shell-Element-MITC4
- Borek Patzak - co-author of Four-Node-Quadrilateral-Shell-Element-MITC4
- OOFEM - finite element code used in the MITC4 implementation
- Hee Jun Lee - author of the dynamic shell buckling thesis
- Phill-Seung Lee - author of the shell finite element review
- Hyuk-Chun Noh - author of the shell finite element review
- Daryl L. Logan - author of the introductory finite element method textbook
- D. R. J. Owen - co-author of the finite element plasticity textbook
- E. Hinton - co-author of the finite element plasticity textbook
- Inha University - degree-granting institution for the thesis
- BLZPACK - Block Lanczos eigenvalue solver used in the thesis
- ABAQUS - commercial finite element software, documented theory reference, and user-guide workflow
- MIDAS Information Technology - developer and publisher of midas FEA, midas Civil, and midas NFX
- midas FEA - civil and bridge-oriented nonlinear detail finite element analysis product
- midas Civil - civil-structure analysis and design product for bridge, seismic, staged-construction, prestress, and moving-load workflows
- midas NFX - general-purpose finite element analysis product for structural, thermal, contact, fatigue, optimization, and forming-limit workflows
Source:
- Finite Element Procedures - finite element analysis textbook
- A Continuum Mechanics Based Four-Node Shell - shell element formulation paper
- Four-Node-Quadrilateral-Shell-Element-MITC4 - MITC4 implementation and validation paper
- MITC Study Notes - local MITC shell derivation notes
- Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method - thesis on MITC4 shell dynamic buckling analysis
- On-the-Finite-Element-Analysis-of-Shell-Structures - review of shell mathematical models, asymptotic behavior, locking, convergence, and benchmark testing
- Solid Element Notes - local notes on linear isoparametric solid elements
- Abaqus Theory Manual - Abaqus theory reference for procedures, elements, constitutive models, contact, constraints, and coupled fields
- Abaqus-Analysis-User-s-Guide-Volume-I - Abaqus operational guide for input syntax, spatial modeling, execution, resources, and output files
- Abaqus-Analysis-User-s-Guide-Volume-II - Abaqus operational guide for analysis procedures, nonlinear controls, continuation, model reduction, adaptivity, multiphysics, optimization, and extensions
- Abaqus-Analysis-User-s-Guide-Volume-III - Abaqus material guide for data definition, constitutive models, damage, EOS, field properties, porous media, and user materials
- Abaqus-Analysis-User-s-Guide-Volume-IV - Abaqus element guide for element families, formulations, sections, connectors, special elements, particles, and element indexes
- Abaqus-Analysis-User-s-Guide-Volume-V - Abaqus interaction guide for prescribed conditions, constraints, contact, diagnostics, contact elements, and cavity radiation
- A-First-Course-in-the-Finite-Element-Method - introductory FEM textbook covering stiffness assembly, structural elements, field problems, thermal stress, and dynamics
- Finite-Elements-in-Plasticity-Theory-and-Practice - finite element plasticity source covering nonlinear solution, yield/flow/hardening, beams, plates, viscoplasticity, dynamics, and program input cases
- Midas-FEA-Analysis-Manual - Midas finite element manual covering element libraries, material models, algorithms, linear procedures, construction stages, heat/hydration, contact, fatigue, and CFD
- Midas-Civil-Analysis-Reference - midas Civil analysis reference covering civil structural model definition, supports, dynamics, nonlinear analysis, construction stages, hydration heat, PSC, moving loads, and bridge utilities
- Midas-NFX-Analysis-Manual - midas NFX analysis manual covering general-purpose structural, field, nonlinear, dynamic, contact, fatigue, optimization, and forming-limit analysis
Current State
- Sources ingested: 18
- Wiki pages: 194
- Last activity: 2026-06-02 (ingested Midas NFX Analysis Manual)
Canvases
- main - default visual reference canvas with a General zone
Key Themes
Model first, solve second. The finite element result is only meaningful relative to the selected mathematical model, boundary conditions, materials, loads, and discretization.
Formulation controls reliability. Displacement, mixed, isoparametric, nonlinear, transient, and eigenproblem formulations each impose different stability and accuracy requirements.
Solid elements ground the 3D continuum path. The solid element notes connect natural-coordinate interpolation, Jacobian derivative mapping, B/D matrices, stiffness integration, and incompatible-mode enrichment.
Shell elements expose formulation tradeoffs. Low-order shell elements need careful shear strain interpolation and nonlinear kinematics to avoid locking while preserving computational economy.
Benchmarks close the loop. The MITC4 source ties formulation to implementation by using patch tests and the Scordelis-Lo shell benchmark before comparing convergence.
Derivations connect formulations to solvers. The MITC study notes link shell director kinematics, Green-Lagrange strain linearization, tangent construction, and nonlinear Newmark-beta dynamics.
Stability analysis closes the structural loop. The dynamic buckling thesis connects MITC4 shell modeling, geometric stiffness, eigenvalue solvers, validation benchmarks, and instability-region prediction.
Thin-shell asymptotics explain shell FE failure modes. The shell FE review connects basic shell models, bending/membrane/mixed asymptotic behavior, locking, uniform convergence, and benchmark design.
Implementation matters. Element-level calculations, assembly, storage, solvers, and stress recovery are part of the method, not afterthoughts.
Industrial FE manuals connect theory to production choices. The Abaqus theory reference shows how solvers, element libraries, material integration, contact, constraints, and coupled-field procedures are organized in a general-purpose analysis system.
Abaqus user-guide workflows expose production operations. The Analysis User's Guide connects input files, spatial model definitions, surfaces, assemblies, execution commands, resource settings, and output databases into the analyst-facing workflow.
Abaqus procedure workflows expose analysis strategy. Volume II connects step class, solver controls, continuation, reduced modeling, fracture, adaptivity, Eulerian/particle methods, co-simulation, optimization, and user subroutines into the analyst-facing procedure workflow.
Abaqus material workflows expose constitutive strategy. Volume III connects material data, elasticity, hyperelasticity, plasticity, damage, EOS, thermal and transport properties, porous media, and user material subroutines into the analyst-facing material workflow.
Finite element plasticity makes solver state explicit. Owen and Hinton connect yield criteria, flow rules, hardening, viscoplasticity, structural plasticity elements, transient dynamics, and benchmark input cases into a concrete implementation workflow for custom solvers.
Abaqus element workflows expose discretization strategy. Volume IV connects element families, formulation suffixes, integration choices, section definitions, connectors, cohesive/gasket elements, Eulerian and particle elements, user elements, and element indexes into the analyst-facing discretization workflow.
Abaqus interaction workflows expose boundary and interface strategy. Volume V connects initial conditions, boundary conditions, loads, predefined fields, constraints, contact definitions, contact properties, contact enforcement, diagnostics, contact elements, and cavity radiation into the analyst-facing interaction workflow.
Introductory element sequences keep the method grounded. Logan's textbook shows how the same displacement and assembly pattern grows from springs and bars into trusses, beams, frames, plane continua, axisymmetric solids, thermal stress, and dynamics.
Midas FEA adds civil nonlinear production coverage. The Midas manual connects element libraries, concrete cracking, embedded reinforcement, nonlinear algorithms, construction stages, hydration heat, contact, fatigue, and CFD into a solver workflow useful for custom-solver requirements and reference comparisons.
Midas Civil adds bridge-oriented production coverage. The Midas Civil reference connects member/section modeling, supports and links, seismic dynamics, buckling, nonlinear hinges, construction stages, hydration thermal stress, PSC losses, moving loads, settlement, wave loads, and design utilities into concrete solver requirements.
Midas NFX adds general-purpose production coverage. The NFX manual connects coordinate-system contracts, broad element/material definitions, equation solvers, eigen extraction, linear/nonlinear dynamics, contact, fatigue, thermal/electrical coupling, optimization, and forming-limit checks into custom-solver requirements and reference comparison targets.