--- type: meta title: "Hot Cache" updated: 2026-05-28T12:20:00+09:00 tags: - meta - hot-cache status: current related: - "[[index]]" - "[[log]]" - "[[overview]]" - "[[Finite Element Procedures]]" - "[[A Continuum Mechanics Based Four-Node Shell]]" - "[[Four-Node-Quadrilateral-Shell-Element-MITC4]]" - "[[MITC Study Notes]]" - "[[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method]]" - "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]" - "[[Solid Element Notes]]" - "[[Finite Element Method]]" --- # Recent Context ## Last Updated 2026-05-28. The wiki was trimmed to finite-element scope, then solid element, shell element, MITC, dynamic buckling, and shell finite element review sources were ingested, including `.raw/SolidElement/`. ## Key Recent Facts - Current sources: [[Finite Element Procedures]], [[Solid Element Notes]], [[A Continuum Mechanics Based Four-Node Shell]], [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]], [[MITC Study Notes]], [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]], and [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]]. - Current domain: [[Computational Mechanics]]. - Current core concepts: [[Finite Element Method]], [[Engineering Mathematical Models]], [[Displacement-Based Finite Element Formulation]], [[Isoparametric Finite Elements]], [[Isoparametric Linear Solid Elements]], [[Solid Element Shape Functions]], [[Solid Element Strain-Displacement Matrix]], [[Solid Element Stiffness Integration]], [[Incompatible Mode Solid Elements]], [[Mixed Finite Element Formulations]], [[Nonlinear Finite Element Analysis]], [[Continuum Mechanics Based Four-Node Shell Element]], [[Assumed Transverse Shear Strain Interpolation]], [[Total Lagrangian Shell Formulation]], [[MITC4 Shell Element]], [[MITC Shell Kinematics]], [[Green-Lagrange Strain Linearization]], [[Nonlinear Newmark-Beta Integration]], [[Dynamic Buckling Analysis]], [[Dynamic Instability Region]], [[Geometric Stiffness Matrix]], [[Scordelis-Lo Shell Benchmark]], [[Basic Shell Mathematical Model]], [[Shell Structure Asymptotic Behavior]], [[Shell Locking Phenomenon]], [[Uniform Optimal Convergence]], [[Shell Element Benchmark Testing]], [[Finite Element Heat Transfer and Field Problems]], [[Static Equilibrium Equation Solvers]], [[Direct Time Integration Methods]], [[Finite Element Eigenproblem Solvers]], and [[Finite Element Program Implementation]]. - The solid element notes contribute a 3D continuum element formulation thread: linear isoparametric solid element topologies, natural-coordinate shape functions, Jacobian derivative mapping, stiffness integration, and incompatible mode enrichment. - The four-node shell paper contributes a continuum-mechanics shell formulation, an assumed transverse shear strain interpolation to avoid shear locking, and a total Lagrangian nonlinear shell analysis setting. - The MITC4 source contributes an OOFEM implementation thread, patch-test verification, and Scordelis-Lo convergence data for a four-node quadrilateral shell element. - The MITC study notes contribute derivation details: shell director kinematics, Green-Lagrange strain linearization, constitutive transformation, and nonlinear Newmark-beta iteration. - The dynamic buckling thesis contributes a validated MITC4 shell program workflow: geometric stiffness, lumped mass, BLZPACK eigenvalue solves, ABAQUS comparisons, and instability-region prediction. - The shell FE review contributes the conceptual reliability frame: basic shell mathematical model, bending/membrane/mixed asymptotic behavior, locking, uniform optimal convergence, and benchmark testing. - Removed non-finite-element wiki content, old canvases, old fold pages, old question/comparison notes, old release/audit/session artifacts, and pre-2026-05-28 log entries. ## Recent Changes - Created most recently: [[Solid Element Notes]], [[Isoparametric Linear Solid Elements]], [[Solid Element Shape Functions]], [[Solid Element Strain-Displacement Matrix]], [[Solid Element Stiffness Integration]], [[Incompatible Mode Solid Elements]] - Previous shell review thread: [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]], [[Phill-Seung Lee]], [[Hyuk-Chun Noh]], [[Basic Shell Mathematical Model]], [[Shell Structure Asymptotic Behavior]], [[Shell Locking Phenomenon]], [[Uniform Optimal Convergence]], [[Shell Element Benchmark Testing]] - Previous dynamic stability thread: [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]], [[Hee Jun Lee]], [[Inha University]], [[BLZPACK]], [[ABAQUS]], [[Dynamic Buckling Analysis]], [[Dynamic Instability Region]], [[Geometric Stiffness Matrix]] - Previous MITC derivation thread: [[MITC Study Notes]], [[MITC Shell Kinematics]], [[Green-Lagrange Strain Linearization]], [[Nonlinear Newmark-Beta Integration]] - Previous MITC implementation thread: [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]], [[MITC4 Shell Element]], [[Scordelis-Lo Shell Benchmark]], [[Edita Dvorakova]], [[Borek Patzak]], [[OOFEM]] - Previous shell thread: [[A Continuum Mechanics Based Four-Node Shell]], [[Eduardo N. Dvorkin]], [[Continuum Mechanics Based Four-Node Shell Element]], [[Assumed Transverse Shear Strain Interpolation]], [[Total Lagrangian Shell Formulation]] - Updated: [[index]], [[overview]], [[log]], [[hot]], [[getting-started]], [[dashboard]], [[Wiki Map]], [[sources/_index]], [[concepts/_index]], [[entities/_index]] - Preserved: finite-element source/entity/domain/concept pages and wiki operational files. ## Active Threads - User is curating this vault as a finite element and computational mechanics wiki, now with a solid-and-shell element thread that connects 3D continuum formulation, isoparametric interpolation, stiffness integration, incompatible modes, shell asymptotic behavior, locking remedies, uniform convergence, benchmarks, nonlinear dynamics, and dynamic buckling stability prediction.