김경종
182 lines
15 KiB
Markdown
182 lines
15 KiB
Markdown
---
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type: meta
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title: "Wiki Index"
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updated: 2026-05-29
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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 Procedures]]"
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- "[[Abaqus Element Library]]"
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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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- "[[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: 2026-05-29 | Total pages: 101 | Sources ingested: 11
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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 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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- [[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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## 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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## 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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- [[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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## Domains
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- [[Computational Mechanics]] - finite element analysis, numerical methods, and engineering simulation
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