김경종
244 lines
21 KiB
Markdown
244 lines
21 KiB
Markdown
---
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type: overview
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title: "Wiki Overview"
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created: 2026-04-07
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updated: 2026-06-01
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tags:
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- meta
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- overview
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status: current
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related:
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- "[[index]]"
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- "[[hot]]"
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- "[[log]]"
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- "[[dashboard]]"
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- "[[Finite Element Procedures]]"
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- "[[A Continuum Mechanics Based Four-Node Shell]]"
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- "[[Four-Node-Quadrilateral-Shell-Element-MITC4]]"
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- "[[MITC Study Notes]]"
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- "[[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method]]"
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- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
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- "[[Solid Element Notes]]"
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- "[[Abaqus Theory Manual]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]"
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- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
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- "[[Computational Mechanics]]"
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sources:
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- "[[Finite Element Procedures]]"
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- "[[A Continuum Mechanics Based Four-Node Shell]]"
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- "[[Four-Node-Quadrilateral-Shell-Element-MITC4]]"
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- "[[MITC Study Notes]]"
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- "[[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method]]"
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- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
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- "[[Solid Element Notes]]"
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- "[[Abaqus Theory Manual]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]"
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- "[[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]]"
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- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
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---
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# Wiki Overview
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Navigation: [[index]] | [[hot]] | [[log]] | [[dashboard]]
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---
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## Purpose
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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|A First Course in the Finite Element Method]] by [[Daryl L. Logan]], solid element notes, shell element sources, MITC derivation notes, shell buckling analysis, [[On-the-Finite-Element-Analysis-of-Shell-Structures|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-Volume-I|Abaqus Analysis User's Guide Volume I]], [[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]], [[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]], [[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]], and [[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]].
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---
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## Current Seed Content
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**Domain:**
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- [[Computational Mechanics]] - finite element analysis, numerical methods, and engineering simulation
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**Concepts:**
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- [[Finite Element Method]] - central computational mechanics workflow
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- [[Engineering Mathematical Models]] - how physical problems become solvable models
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- [[Displacement-Based Finite Element Formulation]] - primary solid mechanics derivation
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- [[Isoparametric Finite Elements]] - element construction and integration framework
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- [[Isoparametric Linear Solid Elements]] - 3D continuum element formulation with translational nodal DOFs
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- [[Solid Element Shape Functions]] - linear solid element interpolation functions
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- [[Solid Element Strain-Displacement Matrix]] - 3D strain-displacement relation and Jacobian mapping
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- [[Solid Element Stiffness Integration]] - Gauss integration of solid element stiffness matrices
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- [[Incompatible Mode Solid Elements]] - internal-mode enrichment for solid element flexibility
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- [[Mixed Finite Element Formulations]] - pressure and constraint-aware formulations
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- [[Nonlinear Finite Element Analysis]] - incremental nonlinear solution workflow
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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 formulation and integration choices
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- [[Abaqus Element Selection and Formulation]] - Abaqus element family, DOF, interpolation, formulation, and integration selection
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- [[Abaqus Continuum Element Families]] - solid, fluid continuum, infinite, warping, and coupled-field continuum elements
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- [[Abaqus Structural Element Families]] - membrane, truss, beam, frame, elbow, shell, continuum shell, and axisymmetric shell elements
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- [[Abaqus Beam and Shell Section Definitions]] - beam cross-sections, shell thickness, composite layers, and section integration
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- [[Abaqus Inertial Rigid and Capacitance Elements]] - point mass, rotary inertia, rigid, and point heat-capacitance elements
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- [[Abaqus Connector Elements and Behaviors]] - connector topology, connection types, actuation, and nonlinear behavior
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- [[Abaqus Cohesive and Gasket Elements]] - cohesive interface, traction-separation, pore-pressure cohesive, and gasket behavior
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- [[Abaqus Special-Purpose Interaction Elements]] - springs, dashpots, joints, couplings, surface elements, line springs, pipe-soil, and acoustic interfaces
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- [[Abaqus Fluid Acoustic Eulerian and Particle Elements]] - acoustic, fluid, Eulerian, fluid pipe, DEM, and SPH element workflows
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- [[Abaqus User-Defined Elements]] - UEL, UELMAT, VUEL, custom DOFs, state variables, and user-element limitations
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- [[Abaqus Element Indexes and Naming Conventions]] - element prefixes, suffixes, formulation markers, and product indexes
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- [[Abaqus Prescribed Conditions and Amplitudes]] - prescribed-condition classes, amplitude curves, and time-history rules
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- [[Abaqus Initial and Boundary Conditions]] - initial values, boundary conditions, propagation, modification, and removal
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- [[Abaqus Loads and Predefined Fields]] - concentrated, distributed, thermal, electromagnetic, acoustic, pore-fluid, pretension, connector, and predefined-field workflows
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- [[Abaqus Kinematic Constraints and MPCs]] - linear equations, multi-point constraints, user MPCs, and kinematic couplings
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- [[Abaqus Surface-Based Constraints and Couplings]] - tie, coupling, shell-to-solid, and surface-based constraint workflows
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- [[Abaqus Embedded Elements and Overconstraints]] - embedded elements, element end release, and overconstraint diagnostics
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- [[Abaqus Contact Interaction Definition]] - general contact, contact pair, and contact element definition workflow
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- [[Abaqus Contact Property Models]] - normal, frictional, damping, cohesive, thermal, electrical, and pore-fluid contact properties
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- [[Abaqus Contact Formulations and Enforcement]] - contact discretization, sliding, penalty, Lagrange multiplier, and augmented enforcement choices
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- [[Abaqus Contact Diagnostics and Modeling Difficulties]] - contact overclosure, surface quality, redundant constraint, and diagnostic workflows
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- [[Abaqus Standard Contact Elements]] - Abaqus/Standard gap, tube-to-tube, slide line, and rigid surface contact elements
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- [[Abaqus Cavity Radiation Interactions]] - enclosure radiation, view factors, emissivity, open/closed cavities, and parallel cavity decomposition
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- [[Abaqus Input File Syntax]] - Abaqus keyword, data-line, model-data, and history-data syntax
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- [[Abaqus Spatial Model Definition]] - node, element, set, coordinate-system, and model topology definition
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- [[Abaqus Surface and Assembly Modeling]] - named surfaces and part-instance assemblies
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- [[Abaqus Matrix-Based Model Definition]] - direct matrix input and assembly for stiffness, mass, and damping
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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]] - 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 output
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- [[Abaqus General and Linear Perturbation Steps]] - Abaqus step classes and perturbation-result interpretation
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- [[Abaqus Nonlinear Solution Control]] - increments, Newton iterations, convergence, stabilization, and time-integration controls
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- [[Abaqus Restart and Results Transfer]] - restart, import, and staged analysis continuation
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- [[Abaqus Substructuring and Submodeling]] - reduced substructures and global-to-local refined models
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- [[Abaqus Matrix Generation and Reduced Models]] - generated matrices for reuse and exchange
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- [[Abaqus Fracture and Enriched Discontinuity Modeling]] - contour integrals, crack propagation, line springs, and XFEM
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- [[Abaqus Adaptivity and Mesh Replacement]] - ALE adaptive meshing, remeshing, and solution mapping
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- [[Abaqus Explicit Analysis Efficiency Techniques]] - mass scaling, subcycling, and steady-state detection
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- [[Abaqus Eulerian and Particle Methods]] - Eulerian, CEL, DEM, SPH, and particle generation workflows
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- [[Abaqus Multiphysics Coupling and Co-simulation]] - sequential coupling and runtime solver co-simulation
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- [[Abaqus Structural Optimization and Parametric Studies]] - optimization, design sensitivity, and parametric study workflows
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- [[Abaqus User Subroutines and Utility Routines]] - compiled subroutine and utility extension points
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- [[Abaqus Material Library and Data Definition]] - material blocks, behavior combinations, dependencies, distributions, and density
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- [[Abaqus Elastic Material Models]] - linear, modified, porous, and hypoelastic response
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- [[Abaqus Hyperelastic and Viscoelastic Materials]] - elastomer, foam, Mullins, permanent-set, and viscoelastic behavior
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- [[Abaqus Metal Plasticity Models]] - metal plasticity, hardening, rate effects, creep, Johnson-Cook, and specialized metal models
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- [[Abaqus Geomaterial and Concrete Plasticity]] - pressure-dependent geomaterial, foam, jointed-media, and concrete plasticity
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- [[Abaqus Progressive Damage and Failure]] - damage initiation, evolution, mesh regularization, and element deletion
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- [[Abaqus Hydrodynamic Equation of State Materials]] - pressure-density-energy EOS material behavior for Abaqus/Explicit
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- [[Abaqus Thermal Expansion and Damping Materials]] - damping, thermal expansion, field expansion, and viscosity definitions
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- [[Abaqus Transport Acoustic and Electromagnetic Materials]] - thermal, acoustic, diffusion, electrical, piezoelectric, dielectric, and magnetic material properties
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- [[Abaqus Porous Media and Pore Fluid Materials]] - permeability, porous bulk moduli, sorption, swelling gel, and moisture swelling
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- [[Abaqus User-Defined Material Behavior]] - UMAT, VUMAT, UMATHT, state variables, material Jacobians, and deletion flags
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- [[Reduced Integration and Hourglass Control]] - under-integration tradeoffs and zero-energy-mode stabilization
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- [[Hybrid Incompressible Elements]] - mixed pressure treatment for incompressible response
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- [[Abaqus Constitutive Integration]] - material-point stress updates and consistent tangent terms
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- [[Finite Element Contact Formulation]] - surface interaction and contact constraints
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- [[Direct Stiffness Method]] - stiffness assembly workflow
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- [[Bar and Truss Finite Elements]] - axial structural elements and truss coordinate transformation
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- [[Beam and Frame Finite Elements]] - beam, frame, grid, and spatial member elements
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- [[Plane Stress and Plane Strain Elements]] - 2D continuum stress idealizations
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- [[Axisymmetric Finite Elements]] - reduced-dimensional body-of-revolution elements
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- [[Finite Element Load Vector Assembly]] - compatible nodal force construction
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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 nodal force treatment
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- [[Continuum Mechanics Based Four-Node Shell Element]] - four-node shell formulation derived from continuum mechanics
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- [[Assumed Transverse Shear Strain Interpolation]] - transverse shear locking remedy for shell elements
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- [[Total Lagrangian Shell Formulation]] - large displacement and rotation shell analysis framework
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- [[MITC4 Shell Element]] - mixed-interpolation four-node shell element implementation
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- [[MITC Shell Kinematics]] - shell director kinematics for MITC derivations
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- [[Green-Lagrange Strain Linearization]] - nonlinear strain expansion for tangent construction
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- [[Nonlinear Newmark-Beta Integration]] - Newmark time stepping with Newton iterations
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- [[Dynamic Buckling Analysis]] - finite element stability analysis under time-varying axial compression
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- [[Dynamic Instability Region]] - instability boundary in excitation/load parameter space
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- [[Geometric Stiffness Matrix]] - stress stiffness contribution needed for buckling eigenproblems
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- [[Scordelis-Lo Shell Benchmark]] - shell element convergence benchmark
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- [[Basic Shell Mathematical Model]] - general shell model beneath continuum shell finite elements
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- [[Shell Structure Asymptotic Behavior]] - bending, membrane, and mixed behavior as thickness decreases
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- [[Shell Locking Phenomenon]] - thickness-dependent artificial stiffness in shell finite element results
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- [[Uniform Optimal Convergence]] - convergence target that remains stable across shell thickness regimes
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- [[Shell Element Benchmark Testing]] - benchmark methodology for shell element reliability
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- [[Finite Element Heat Transfer and Field Problems]] - FE treatment beyond structural mechanics
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- [[Static Equilibrium Equation Solvers]] - linear and nonlinear static equation solution
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- [[Direct Time Integration Methods]] - transient dynamics and time integration
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- [[Finite Element Eigenproblem Solvers]] - modal and eigenvalue algorithms
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- [[Finite Element Program Implementation]] - FE code data flow and STAP-style implementation
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**Entity:**
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- [[Klaus-Jurgen Bathe]] - author of [[Finite Element Procedures]] and co-author of [[A Continuum Mechanics Based Four-Node Shell]]
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- [[Eduardo N. Dvorkin]] - co-author of [[A Continuum Mechanics Based Four-Node Shell]]
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- [[Edita Dvorakova]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]]
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- [[Borek Patzak]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]]
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- [[OOFEM]] - finite element code used in the MITC4 implementation
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- [[Hee Jun Lee]] - author of the dynamic shell buckling thesis
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- [[Phill-Seung Lee]] - author of the shell finite element review
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- [[Hyuk-Chun Noh]] - author of the shell finite element review
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- [[Daryl L. Logan]] - author of the introductory finite element method textbook
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- [[Inha University]] - degree-granting institution for the thesis
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- [[BLZPACK]] - Block Lanczos eigenvalue solver used in the thesis
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- [[ABAQUS]] - commercial finite element software, documented theory reference, and user-guide workflow
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**Source:**
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- [[Finite Element Procedures]] - finite element analysis textbook
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- [[A Continuum Mechanics Based Four-Node Shell]] - shell element formulation paper
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- [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]] - MITC4 implementation and validation paper
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- [[MITC Study Notes]] - local MITC shell derivation notes
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- [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]] - thesis on MITC4 shell dynamic buckling analysis
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- [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]] - review of shell mathematical models, asymptotic behavior, locking, convergence, and benchmark testing
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- [[Solid Element Notes]] - local notes on linear isoparametric solid elements
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- [[Abaqus Theory Manual]] - Abaqus theory reference for procedures, elements, constitutive models, contact, constraints, and coupled fields
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- [[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]] - Abaqus operational guide for input syntax, spatial modeling, execution, resources, and output files
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- [[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]] - Abaqus operational guide for analysis procedures, nonlinear controls, continuation, model reduction, adaptivity, multiphysics, optimization, and extensions
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- [[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]] - Abaqus material guide for data definition, constitutive models, damage, EOS, field properties, porous media, and user materials
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- [[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]] - Abaqus element guide for element families, formulations, sections, connectors, special elements, particles, and element indexes
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- [[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]] - Abaqus interaction guide for prescribed conditions, constraints, contact, diagnostics, contact elements, and cavity radiation
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- [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]] - introductory FEM textbook covering stiffness assembly, structural elements, field problems, thermal stress, and dynamics
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---
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## Current State
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- Sources ingested: 14
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- Wiki pages: 138
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- Last activity: 2026-06-01 (ingested Abaqus Analysis User's Guide Volume V)
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---
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## Canvases
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- [[main]] - default visual reference canvas with a General zone
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---
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## Key Themes
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**Model first, solve second.** The finite element result is only meaningful relative to the selected mathematical model, boundary conditions, materials, loads, and discretization.
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**Formulation controls reliability.** Displacement, mixed, isoparametric, nonlinear, transient, and eigenproblem formulations each impose different stability and accuracy requirements.
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**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.
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**Shell elements expose formulation tradeoffs.** Low-order shell elements need careful shear strain interpolation and nonlinear kinematics to avoid locking while preserving computational economy.
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**Benchmarks close the loop.** The MITC4 source ties formulation to implementation by using patch tests and the Scordelis-Lo shell benchmark before comparing convergence.
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**Derivations connect formulations to solvers.** The MITC study notes link shell director kinematics, Green-Lagrange strain linearization, tangent construction, and nonlinear Newmark-beta dynamics.
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**Stability analysis closes the structural loop.** The dynamic buckling thesis connects MITC4 shell modeling, geometric stiffness, eigenvalue solvers, validation benchmarks, and instability-region prediction.
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**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.
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**Implementation matters.** Element-level calculations, assembly, storage, solvers, and stress recovery are part of the method, not afterthoughts.
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**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.
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**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.
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**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.
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**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.
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**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.
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**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.
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**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.
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