김경종
256 lines
23 KiB
Markdown
256 lines
23 KiB
Markdown
---
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type: meta
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title: "Wiki Index"
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updated: 2026-06-01
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tags:
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- meta
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- index
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status: evergreen
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related:
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- "[[overview]]"
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- "[[log]]"
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- "[[hot]]"
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- "[[dashboard]]"
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- "[[Wiki Map]]"
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- "[[getting-started]]"
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- "[[concepts/_index]]"
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- "[[entities/_index]]"
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- "[[sources/_index]]"
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- "[[domains/_index]]"
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- "[[Finite Element Method]]"
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- "[[Computational Mechanics]]"
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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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- "[[Abaqus Analysis Procedures]]"
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- "[[Abaqus Element Library]]"
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- "[[Abaqus Element Selection and Formulation]]"
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- "[[Abaqus Continuum Element Families]]"
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- "[[Abaqus Structural Element Families]]"
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- "[[Abaqus Beam and Shell Section Definitions]]"
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- "[[Abaqus Inertial Rigid and Capacitance Elements]]"
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- "[[Abaqus Connector Elements and Behaviors]]"
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- "[[Abaqus Cohesive and Gasket Elements]]"
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- "[[Abaqus Special-Purpose Interaction Elements]]"
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- "[[Abaqus Fluid Acoustic Eulerian and Particle Elements]]"
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- "[[Abaqus User-Defined Elements]]"
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- "[[Abaqus Element Indexes and Naming Conventions]]"
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- "[[Abaqus Prescribed Conditions and Amplitudes]]"
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- "[[Abaqus Initial and Boundary Conditions]]"
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- "[[Abaqus Loads and Predefined Fields]]"
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- "[[Abaqus Kinematic Constraints and MPCs]]"
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- "[[Abaqus Surface-Based Constraints and Couplings]]"
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- "[[Abaqus Embedded Elements and Overconstraints]]"
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- "[[Abaqus Contact Interaction Definition]]"
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- "[[Abaqus Contact Property Models]]"
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- "[[Abaqus Contact Formulations and Enforcement]]"
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- "[[Abaqus Contact Diagnostics and Modeling Difficulties]]"
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- "[[Abaqus Standard Contact Elements]]"
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- "[[Abaqus Cavity Radiation Interactions]]"
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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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- "[[Abaqus Material Library and Data Definition]]"
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- "[[Abaqus Elastic Material Models]]"
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- "[[Abaqus Hyperelastic and Viscoelastic Materials]]"
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- "[[Abaqus Metal Plasticity Models]]"
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- "[[Abaqus Geomaterial and Concrete Plasticity]]"
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- "[[Abaqus Progressive Damage and Failure]]"
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- "[[Abaqus Hydrodynamic Equation of State Materials]]"
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- "[[Abaqus Thermal Expansion and Damping Materials]]"
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- "[[Abaqus Transport Acoustic and Electromagnetic Materials]]"
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- "[[Abaqus Porous Media and Pore Fluid Materials]]"
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- "[[Abaqus User-Defined Material Behavior]]"
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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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- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
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- "[[Daryl L. Logan]]"
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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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# Wiki Index
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Last updated: 2026-06-01 | Total pages: 138 | Sources ingested: 14
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Navigation: [[overview]] | [[log]] | [[hot]] | [[dashboard]] | [[Wiki Map]] | [[getting-started]]
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---
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## Concepts
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- [[Finite Element Method]] - numerical procedure for solving discretized engineering and physics models (status: current)
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- [[Engineering Mathematical Models]] - idealized physical models selected before finite element solution (status: current)
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- [[Displacement-Based Finite Element Formulation]] - primary solid mechanics formulation using nodal displacements (status: current)
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- [[Isoparametric Finite Elements]] - shape-function framework for element geometry, interpolation, and matrices (status: current)
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- [[Isoparametric Linear Solid Elements]] - first-order 3D continuum elements with translational nodal degrees of freedom (status: current)
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- [[Solid Element Shape Functions]] - natural-coordinate interpolation functions for tetrahedron, pyramid, wedge, and hexahedron elements (status: current)
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- [[Solid Element Strain-Displacement Matrix]] - 3D solid element `B` matrix and Jacobian derivative mapping (status: current)
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- [[Solid Element Stiffness Integration]] - `B^T D B` volume integration for solid element stiffness matrices (status: current)
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- [[Incompatible Mode Solid Elements]] - internal displacement mode enrichment and static condensation for solid elements (status: current)
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- [[Mixed Finite Element Formulations]] - multi-field formulations for incompressibility, constraints, and pressure-like variables (status: current)
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- [[Nonlinear Finite Element Analysis]] - incremental solution of geometric, material, contact, and load nonlinearities (status: current)
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- [[Abaqus Analysis Procedures]] - Abaqus procedure families for nonlinear, dynamic, modal, buckling, coupled-field, and special analyses (status: current)
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- [[Abaqus Element Library]] - Abaqus element formulations, interpolation, and integration choices (status: current)
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- [[Abaqus Element Selection and Formulation]] - Abaqus element family, DOF, interpolation, formulation, and integration selection workflow (status: current)
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- [[Abaqus Continuum Element Families]] - Abaqus solid, fluid continuum, infinite, warping, and coupled-field continuum element families (status: current)
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- [[Abaqus Structural Element Families]] - Abaqus membrane, truss, beam, frame, elbow, shell, continuum shell, and axisymmetric shell families (status: current)
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- [[Abaqus Beam and Shell Section Definitions]] - Abaqus cross-section, thickness, composite layer, and section integration definitions (status: current)
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- [[Abaqus Inertial Rigid and Capacitance Elements]] - Abaqus point mass, rotary inertia, rigid, and point capacitance elements (status: current)
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- [[Abaqus Connector Elements and Behaviors]] - Abaqus connector topology, connection types, actuation, and nonlinear behavior definitions (status: current)
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- [[Abaqus Cohesive and Gasket Elements]] - cohesive interface, traction-separation, pore-pressure cohesive, and gasket element workflows (status: current)
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- [[Abaqus Special-Purpose Interaction Elements]] - Abaqus springs, dashpots, joints, couplings, surfaces, line springs, pipe-soil, and acoustic interface elements (status: current)
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- [[Abaqus Fluid Acoustic Eulerian and Particle Elements]] - Abaqus acoustic, fluid, Eulerian, fluid pipe, DEM, and SPH element workflows (status: current)
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- [[Abaqus User-Defined Elements]] - Abaqus UEL, UELMAT, VUEL, custom DOFs, state variables, and user-element limitations (status: current)
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- [[Abaqus Element Indexes and Naming Conventions]] - Abaqus element name prefixes, suffixes, product indexes, and formulation markers (status: current)
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- [[Abaqus Prescribed Conditions and Amplitudes]] - Abaqus prescribed-condition classes, amplitude curves, and time-history rules (status: current)
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- [[Abaqus Initial and Boundary Conditions]] - Abaqus initial values, boundary conditions, propagation, modification, and removal (status: current)
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- [[Abaqus Loads and Predefined Fields]] - Abaqus concentrated, distributed, thermal, electromagnetic, acoustic, pore-fluid, pretension, connector, and predefined-field workflows (status: current)
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- [[Abaqus Kinematic Constraints and MPCs]] - Abaqus linear equations, multi-point constraints, user MPCs, and kinematic couplings (status: current)
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- [[Abaqus Surface-Based Constraints and Couplings]] - Abaqus tie, coupling, shell-to-solid, and surface-based constraint workflows (status: current)
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- [[Abaqus Embedded Elements and Overconstraints]] - Abaqus embedded elements, element end release, and overconstraint diagnostics (status: current)
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- [[Abaqus Contact Interaction Definition]] - Abaqus general contact, contact pair, and contact element definition workflow (status: current)
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- [[Abaqus Contact Property Models]] - Abaqus normal, frictional, damping, cohesive, thermal, electrical, and pore-fluid contact property models (status: current)
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- [[Abaqus Contact Formulations and Enforcement]] - Abaqus contact discretization, sliding, penalty, Lagrange multiplier, and augmented enforcement choices (status: current)
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- [[Abaqus Contact Diagnostics and Modeling Difficulties]] - Abaqus contact overclosure, surface quality, redundant constraint, and diagnostic workflows (status: current)
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- [[Abaqus Standard Contact Elements]] - Abaqus/Standard gap, tube-to-tube, slide line, and rigid surface contact elements (status: current)
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- [[Abaqus Cavity Radiation Interactions]] - Abaqus enclosure radiation, view factors, emissivity, open/closed cavities, and parallel cavity decomposition (status: current)
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- [[Abaqus Input File Syntax]] - keyword, data-line, model-data, and history-data syntax for Abaqus input files (status: current)
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- [[Abaqus Spatial Model Definition]] - practical node, element, set, coordinate-system, and model topology definition (status: current)
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- [[Abaqus Surface and Assembly Modeling]] - named surfaces and reusable part-instance assemblies for contact, loads, constraints, and output (status: current)
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- [[Abaqus Matrix-Based Model Definition]] - direct matrix input and assembly for stiffness, mass, and damping components (status: current)
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- [[Abaqus Job Execution Workflow]] - command-line analysis, checks, recovery, conversion, and utility workflow (status: current)
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- [[Abaqus Resource and Parallel Execution]] - memory, scratch, CPU, MPI/thread, domain, and GPU execution settings (status: current)
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- [[Abaqus Output Database and Results Files]] - ODB, SIM, selected results, status, message, restart, and diagnostic output files (status: current)
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- [[Abaqus General and Linear Perturbation Steps]] - Abaqus step classes, state propagation, perturbation procedures, and load-case interpretation (status: current)
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- [[Abaqus Nonlinear Solution Control]] - increments, Newton iterations, residual convergence, stabilization, and time-integration controls (status: current)
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- [[Abaqus Restart and Results Transfer]] - restart, import, state transfer, and staged analysis continuation (status: current)
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- [[Abaqus Substructuring and Submodeling]] - reduced substructures and global-to-local refined submodels (status: current)
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- [[Abaqus Matrix Generation and Reduced Models]] - generated stiffness, mass, damping, and load matrices for reuse or exchange (status: current)
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- [[Abaqus Fracture and Enriched Discontinuity Modeling]] - contour integrals, crack propagation, line springs, and XFEM discontinuities (status: current)
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- [[Abaqus Adaptivity and Mesh Replacement]] - ALE adaptive meshing, adaptive remeshing, and mesh-to-mesh solution mapping (status: current)
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- [[Abaqus Explicit Analysis Efficiency Techniques]] - mass scaling, selective subcycling, and steady-state detection for Abaqus/Explicit (status: current)
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- [[Abaqus Eulerian and Particle Methods]] - Eulerian volume fractions, CEL analysis, DEM, SPH, and particle generation (status: current)
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- [[Abaqus Multiphysics Coupling and Co-simulation]] - sequential predefined-field coupling and runtime solver co-simulation (status: current)
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- [[Abaqus Structural Optimization and Parametric Studies]] - structural optimization, design sensitivity, and scripted parametric studies (status: current)
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- [[Abaqus User Subroutines and Utility Routines]] - compiled extension points, utility routines, and external database hooks (status: current)
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- [[Abaqus Material Library and Data Definition]] - Abaqus material blocks, behavior combinations, temperature/field dependencies, distributions, and density (status: current)
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- [[Abaqus Elastic Material Models]] - linear, modified, porous, and hypoelastic material definitions in Abaqus (status: current)
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- [[Abaqus Hyperelastic and Viscoelastic Materials]] - large-strain elastomer, foam, Mullins, permanent-set, and time/frequency-dependent behavior (status: current)
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- [[Abaqus Metal Plasticity Models]] - metal plasticity, cyclic hardening, rate effects, creep, annealing, Johnson-Cook, and specialized metal models (status: current)
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- [[Abaqus Geomaterial and Concrete Plasticity]] - pressure-dependent plasticity, cap models, clay, crushable foam, jointed materials, and concrete models (status: current)
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- [[Abaqus Progressive Damage and Failure]] - damage initiation, evolution, mesh regularization, composite damage, low-cycle fatigue damage, and element deletion (status: current)
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- [[Abaqus Hydrodynamic Equation of State Materials]] - Abaqus/Explicit EOS models for shock, explosive, gas, compaction, and fluid-like response (status: current)
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- [[Abaqus Thermal Expansion and Damping Materials]] - Rayleigh damping, thermal expansion, field expansion, and viscosity material definitions (status: current)
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- [[Abaqus Transport Acoustic and Electromagnetic Materials]] - thermal, acoustic, diffusion, electrical, piezoelectric, dielectric, and magnetic material properties (status: current)
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- [[Abaqus Porous Media and Pore Fluid Materials]] - permeability, porous bulk moduli, sorption, swelling gel, and moisture swelling (status: current)
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- [[Abaqus User-Defined Material Behavior]] - UMAT, VUMAT, UMATHT, state variables, material Jacobians, and deletion flags (status: current)
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- [[Reduced Integration and Hourglass Control]] - under-integration tradeoffs and stabilization of zero-energy modes (status: current)
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- [[Hybrid Incompressible Elements]] - mixed displacement-pressure treatment for incompressible material behavior (status: current)
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- [[Abaqus Constitutive Integration]] - integration-point stress updates, state variables, and material tangents (status: current)
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- [[Finite Element Contact Formulation]] - finite element surface interaction and contact constraints (status: current)
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- [[Direct Stiffness Method]] - displacement-based stiffness assembly workflow for element systems (status: current)
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- [[Bar and Truss Finite Elements]] - axial structural elements, coordinate transformation, and truss analysis (status: current)
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- [[Beam and Frame Finite Elements]] - bending, shear, axial, rotational, frame, grid, and spatial beam element ideas (status: current)
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- [[Plane Stress and Plane Strain Elements]] - two-dimensional continuum elements for plane idealizations (status: current)
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- [[Axisymmetric Finite Elements]] - reduced-dimensional elements for bodies of revolution under symmetric loading (status: current)
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- [[Finite Element Load Vector Assembly]] - compatible nodal force vectors for distributed, body, surface, and thermal loads (status: current)
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- [[Finite Element Modeling and Convergence Checks]] - practical mesh, symmetry, stress interpretation, and convergence checks (status: current)
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- [[Finite Element Thermal Stress Analysis]] - thermal strain and equivalent force treatment for constrained temperature change (status: current)
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- [[Continuum Mechanics Based Four-Node Shell Element]] - low-order shell element derived from continuum mechanics (status: current)
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- [[Assumed Transverse Shear Strain Interpolation]] - shell locking remedy using a separately interpolated shear strain field (status: current)
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- [[Total Lagrangian Shell Formulation]] - reference-configuration formulation for nonlinear shell response (status: current)
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- [[MITC4 Shell Element]] - four-node quadrilateral shell element using mixed interpolation to avoid shear locking (status: current)
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- [[MITC Shell Kinematics]] - director-vector shell kinematics for MITC-style degenerated continuum shells (status: current)
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- [[Green-Lagrange Strain Linearization]] - nonlinear strain expansion for residual and tangent construction (status: current)
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- [[Nonlinear Newmark-Beta Integration]] - Newton-iterated Newmark time integration for nonlinear FE dynamics (status: current)
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- [[Dynamic Buckling Analysis]] - instability analysis under time-varying axial compression (status: current)
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- [[Dynamic Instability Region]] - load-frequency region where dynamic buckling occurs (status: current)
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- [[Geometric Stiffness Matrix]] - stress and geometry dependent stiffness contribution used in buckling analysis (status: current)
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- [[Scordelis-Lo Shell Benchmark]] - cylindrical shell benchmark for shell element convergence (status: current)
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- [[Basic Shell Mathematical Model]] - midsurface/director shell model underlying continuum shell finite elements (status: current)
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- [[Shell Structure Asymptotic Behavior]] - thin-shell response classes under decreasing thickness (status: current)
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- [[Shell Locking Phenomenon]] - thickness-dependent artificial stiffness in shell finite elements (status: current)
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- [[Uniform Optimal Convergence]] - shell element convergence that remains optimal across thickness regimes (status: current)
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- [[Shell Element Benchmark Testing]] - structured shell element performance testing across geometry, thickness, and meshes (status: current)
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- [[Finite Element Heat Transfer and Field Problems]] - FE treatment of heat transfer, fields, flow, and coupled problems (status: current)
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- [[Static Equilibrium Equation Solvers]] - direct, iterative, and nonlinear solvers for static FE equations (status: current)
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- [[Direct Time Integration Methods]] - transient FE dynamics and first-order field integration (status: current)
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- [[Finite Element Eigenproblem Solvers]] - modal and eigenvalue algorithms for FE matrices (status: current)
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- [[Finite Element Program Implementation]] - software data flow for FE codes and STAP-style implementation (status: current)
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---
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## Entities
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- [[Klaus-Jurgen Bathe]] - professor of mechanical engineering, author of [[Finite Element Procedures]], and co-author of [[A Continuum Mechanics Based Four-Node Shell]] (status: current)
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- [[Eduardo N. Dvorkin]] - co-author of [[A Continuum Mechanics Based Four-Node Shell]] (status: current)
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- [[Edita Dvorakova]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]] (status: current)
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- [[Borek Patzak]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]] and OOFEM-related researcher (status: current)
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- [[OOFEM]] - finite element code used for the MITC4 implementation (status: current)
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- [[Hee Jun Lee]] - author of [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]] (status: current)
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- [[Phill-Seung Lee]] - author of [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]] (status: current)
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- [[Hyuk-Chun Noh]] - author of [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]] (status: current)
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- [[Daryl L. Logan]] - author of [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]] (status: current)
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- [[Inha University]] - degree-granting institution for the dynamic shell buckling thesis (status: current)
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- [[BLZPACK]] - Block Lanczos eigenvalue solver used in the dynamic buckling implementation (status: current)
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- [[ABAQUS]] - commercial finite element software, documented theory reference, and user-guide workflow (status: current)
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---
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## Sources
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- [[Finite Element Procedures]] - 2014 textbook by [[Klaus-Jurgen Bathe]]; finite element theory, solvers, and implementation
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- [[A Continuum Mechanics Based Four-Node Shell]] - Dvorkin and Bathe paper on a four-node shell element for nonlinear analysis
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- [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]] - Dvorakova and Patzak paper on MITC4 implementation and Scordelis-Lo validation
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- [[MITC Study Notes]] - local derivation notes for MITC shell kinematics, nonlinear strain linearization, and Newmark-beta dynamics
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- [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]] - 2012 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 paper on shell mathematical models, asymptotic behavior, locking, convergence, and benchmark testing
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- [[Solid Element Notes]] - local notes on isoparametric linear solid element formulation, stiffness integration, and incompatible modes
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- [[Abaqus Theory Manual]] - Abaqus finite element theory reference for procedures, elements, materials, contact, constraints, and coupled fields
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- [[Abaqus-Analysis-User-s-Guide-Volume-I|Abaqus Analysis User's Guide Volume I]] - Abaqus user 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 user 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 user guide for material data, 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 user 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 user guide for prescribed conditions, constraints, contact interactions, contact properties, 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]] - Daryl L. Logan textbook introducing FEM through stiffness assembly and common structural, field, thermal, and dynamic elements
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---
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## Domains
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- [[Computational Mechanics]] - finite element analysis, numerical methods, and engineering simulation
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