김경종
195 lines
14 KiB
Markdown
195 lines
14 KiB
Markdown
---
|
|
type: overview
|
|
title: "Wiki Overview"
|
|
created: 2026-04-07
|
|
updated: 2026-05-29
|
|
tags:
|
|
- meta
|
|
- overview
|
|
status: current
|
|
related:
|
|
- "[[index]]"
|
|
- "[[hot]]"
|
|
- "[[log]]"
|
|
- "[[dashboard]]"
|
|
- "[[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]]"
|
|
- "[[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]]"
|
|
- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
|
|
- "[[Computational Mechanics]]"
|
|
sources:
|
|
- "[[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]]"
|
|
- "[[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]]"
|
|
- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
|
|
---
|
|
|
|
# Wiki Overview
|
|
|
|
Navigation: [[index]] | [[hot]] | [[log]] | [[dashboard]]
|
|
|
|
---
|
|
|
|
## Purpose
|
|
|
|
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]], and [[Abaqus-Analysis-User-s-Guide-Volume-II|Abaqus Analysis User's Guide Volume II]].
|
|
|
|
---
|
|
|
|
## Current Seed Content
|
|
|
|
**Domain:**
|
|
- [[Computational Mechanics]] - finite element analysis, numerical methods, and engineering simulation
|
|
|
|
**Concepts:**
|
|
- [[Finite Element Method]] - central computational mechanics workflow
|
|
- [[Engineering Mathematical Models]] - how physical problems become solvable models
|
|
- [[Displacement-Based Finite Element Formulation]] - primary solid mechanics derivation
|
|
- [[Isoparametric Finite Elements]] - element construction and integration framework
|
|
- [[Isoparametric Linear Solid Elements]] - 3D continuum element formulation with translational nodal DOFs
|
|
- [[Solid Element Shape Functions]] - linear solid element interpolation functions
|
|
- [[Solid Element Strain-Displacement Matrix]] - 3D strain-displacement relation and Jacobian mapping
|
|
- [[Solid Element Stiffness Integration]] - Gauss integration of solid element stiffness matrices
|
|
- [[Incompatible Mode Solid Elements]] - internal-mode enrichment for solid element flexibility
|
|
- [[Mixed Finite Element Formulations]] - pressure and constraint-aware formulations
|
|
- [[Nonlinear Finite Element Analysis]] - incremental nonlinear solution workflow
|
|
- [[Abaqus Analysis Procedures]] - Abaqus procedure families for nonlinear, dynamic, modal, buckling, coupled-field, and special analyses
|
|
- [[Abaqus Element Library]] - Abaqus element formulation and integration choices
|
|
- [[Abaqus Input File Syntax]] - Abaqus keyword, data-line, model-data, and history-data syntax
|
|
- [[Abaqus Spatial Model Definition]] - node, element, set, coordinate-system, and model topology definition
|
|
- [[Abaqus Surface and Assembly Modeling]] - named surfaces and part-instance assemblies
|
|
- [[Abaqus Matrix-Based Model Definition]] - direct matrix input and assembly for stiffness, mass, and damping
|
|
- [[Abaqus Job Execution Workflow]] - command-line analysis checks, recovery, conversion, and utilities
|
|
- [[Abaqus Resource and Parallel Execution]] - memory, scratch, CPU, MPI/thread, domain, and GPU settings
|
|
- [[Abaqus Output Database and Results Files]] - ODB, SIM, selected results, status, message, restart, and diagnostic output
|
|
- [[Abaqus General and Linear Perturbation Steps]] - Abaqus step classes and perturbation-result interpretation
|
|
- [[Abaqus Nonlinear Solution Control]] - increments, Newton iterations, convergence, stabilization, and time-integration controls
|
|
- [[Abaqus Restart and Results Transfer]] - restart, import, and staged analysis continuation
|
|
- [[Abaqus Substructuring and Submodeling]] - reduced substructures and global-to-local refined models
|
|
- [[Abaqus Matrix Generation and Reduced Models]] - generated matrices for reuse and exchange
|
|
- [[Abaqus Fracture and Enriched Discontinuity Modeling]] - contour integrals, crack propagation, line springs, and XFEM
|
|
- [[Abaqus Adaptivity and Mesh Replacement]] - ALE adaptive meshing, remeshing, and solution mapping
|
|
- [[Abaqus Explicit Analysis Efficiency Techniques]] - mass scaling, subcycling, and steady-state detection
|
|
- [[Abaqus Eulerian and Particle Methods]] - Eulerian, CEL, DEM, SPH, and particle generation workflows
|
|
- [[Abaqus Multiphysics Coupling and Co-simulation]] - sequential coupling and runtime solver co-simulation
|
|
- [[Abaqus Structural Optimization and Parametric Studies]] - optimization, design sensitivity, and parametric study workflows
|
|
- [[Abaqus User Subroutines and Utility Routines]] - compiled subroutine and utility extension points
|
|
- [[Reduced Integration and Hourglass Control]] - under-integration tradeoffs and zero-energy-mode stabilization
|
|
- [[Hybrid Incompressible Elements]] - mixed pressure treatment for incompressible response
|
|
- [[Abaqus Constitutive Integration]] - material-point stress updates and consistent tangent terms
|
|
- [[Finite Element Contact Formulation]] - surface interaction and contact constraints
|
|
- [[Direct Stiffness Method]] - stiffness assembly workflow
|
|
- [[Bar and Truss Finite Elements]] - axial structural elements and truss coordinate transformation
|
|
- [[Beam and Frame Finite Elements]] - beam, frame, grid, and spatial member elements
|
|
- [[Plane Stress and Plane Strain Elements]] - 2D continuum stress idealizations
|
|
- [[Axisymmetric Finite Elements]] - reduced-dimensional body-of-revolution elements
|
|
- [[Finite Element Load Vector Assembly]] - compatible nodal force construction
|
|
- [[Finite Element Modeling and Convergence Checks]] - mesh quality, symmetry, stress interpretation, and convergence checks
|
|
- [[Finite Element Thermal Stress Analysis]] - thermal strain and equivalent nodal force treatment
|
|
- [[Continuum Mechanics Based Four-Node Shell Element]] - four-node shell formulation derived from continuum mechanics
|
|
- [[Assumed Transverse Shear Strain Interpolation]] - transverse shear locking remedy for shell elements
|
|
- [[Total Lagrangian Shell Formulation]] - large displacement and rotation shell analysis framework
|
|
- [[MITC4 Shell Element]] - mixed-interpolation four-node shell element implementation
|
|
- [[MITC Shell Kinematics]] - shell director kinematics for MITC derivations
|
|
- [[Green-Lagrange Strain Linearization]] - nonlinear strain expansion for tangent construction
|
|
- [[Nonlinear Newmark-Beta Integration]] - Newmark time stepping with Newton iterations
|
|
- [[Dynamic Buckling Analysis]] - finite element stability analysis under time-varying axial compression
|
|
- [[Dynamic Instability Region]] - instability boundary in excitation/load parameter space
|
|
- [[Geometric Stiffness Matrix]] - stress stiffness contribution needed for buckling eigenproblems
|
|
- [[Scordelis-Lo Shell Benchmark]] - shell element convergence benchmark
|
|
- [[Basic Shell Mathematical Model]] - general shell model beneath continuum shell finite elements
|
|
- [[Shell Structure Asymptotic Behavior]] - bending, membrane, and mixed behavior as thickness decreases
|
|
- [[Shell Locking Phenomenon]] - thickness-dependent artificial stiffness in shell finite element results
|
|
- [[Uniform Optimal Convergence]] - convergence target that remains stable across shell thickness regimes
|
|
- [[Shell Element Benchmark Testing]] - benchmark methodology for shell element reliability
|
|
- [[Finite Element Heat Transfer and Field Problems]] - FE treatment beyond structural mechanics
|
|
- [[Static Equilibrium Equation Solvers]] - linear and nonlinear static equation solution
|
|
- [[Direct Time Integration Methods]] - transient dynamics and time integration
|
|
- [[Finite Element Eigenproblem Solvers]] - modal and eigenvalue algorithms
|
|
- [[Finite Element Program Implementation]] - FE code data flow and STAP-style implementation
|
|
|
|
**Entity:**
|
|
- [[Klaus-Jurgen Bathe]] - author of [[Finite Element Procedures]] and co-author of [[A Continuum Mechanics Based Four-Node Shell]]
|
|
- [[Eduardo N. Dvorkin]] - co-author of [[A Continuum Mechanics Based Four-Node Shell]]
|
|
- [[Edita Dvorakova]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]]
|
|
- [[Borek Patzak]] - co-author of [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]]
|
|
- [[OOFEM]] - finite element code used in the MITC4 implementation
|
|
- [[Hee Jun Lee]] - author of the dynamic shell buckling thesis
|
|
- [[Phill-Seung Lee]] - author of the shell finite element review
|
|
- [[Hyuk-Chun Noh]] - author of the shell finite element review
|
|
- [[Daryl L. Logan]] - author of the introductory finite element method textbook
|
|
- [[Inha University]] - degree-granting institution for the thesis
|
|
- [[BLZPACK]] - Block Lanczos eigenvalue solver used in the thesis
|
|
- [[ABAQUS]] - commercial finite element software, documented theory reference, and user-guide workflow
|
|
|
|
**Source:**
|
|
- [[Finite Element Procedures]] - finite element analysis textbook
|
|
- [[A Continuum Mechanics Based Four-Node Shell]] - shell element formulation paper
|
|
- [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]] - MITC4 implementation and validation paper
|
|
- [[MITC Study Notes]] - local MITC shell derivation notes
|
|
- [[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
|
|
- [[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
|
|
- [[Solid Element Notes]] - local notes on linear isoparametric solid elements
|
|
- [[Abaqus Theory Manual]] - Abaqus theory reference for procedures, elements, constitutive models, contact, constraints, and coupled fields
|
|
- [[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
|
|
- [[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
|
|
- [[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
|
|
|
|
---
|
|
|
|
## Current State
|
|
|
|
- Sources ingested: 11
|
|
- Wiki pages: 101
|
|
- Last activity: 2026-05-29 (ingested Abaqus Analysis User's Guide Volume II)
|
|
|
|
---
|
|
|
|
## Canvases
|
|
|
|
- [[main]] - default visual reference canvas with a General zone
|
|
|
|
---
|
|
|
|
## Key Themes
|
|
|
|
**Model first, solve second.** The finite element result is only meaningful relative to the selected mathematical model, boundary conditions, materials, loads, and discretization.
|
|
|
|
**Formulation controls reliability.** Displacement, mixed, isoparametric, nonlinear, transient, and eigenproblem formulations each impose different stability and accuracy requirements.
|
|
|
|
**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.
|
|
|
|
**Shell elements expose formulation tradeoffs.** Low-order shell elements need careful shear strain interpolation and nonlinear kinematics to avoid locking while preserving computational economy.
|
|
|
|
**Benchmarks close the loop.** The MITC4 source ties formulation to implementation by using patch tests and the Scordelis-Lo shell benchmark before comparing convergence.
|
|
|
|
**Derivations connect formulations to solvers.** The MITC study notes link shell director kinematics, Green-Lagrange strain linearization, tangent construction, and nonlinear Newmark-beta dynamics.
|
|
|
|
**Stability analysis closes the structural loop.** The dynamic buckling thesis connects MITC4 shell modeling, geometric stiffness, eigenvalue solvers, validation benchmarks, and instability-region prediction.
|
|
|
|
**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.
|
|
|
|
**Implementation matters.** Element-level calculations, assembly, storage, solvers, and stress recovery are part of the method, not afterthoughts.
|
|
|
|
**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.
|
|
|
|
**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.
|
|
|
|
**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.
|
|
|
|
**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.
|