김경종
106 lines
7.6 KiB
Markdown
106 lines
7.6 KiB
Markdown
---
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type: meta
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title: "Wiki Index"
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updated: 2026-05-28
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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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---
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# Wiki Index
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Last updated: 2026-05-28 | Total pages: 63 | Sources ingested: 7
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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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- [[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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- [[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 used for validation comparisons (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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---
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## Domains
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- [[Computational Mechanics]] - finite element analysis, numerical methods, and engineering simulation
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