add documents and wiki
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김경종
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type: domain
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title: "Computational Mechanics"
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created: 2026-05-28
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updated: 2026-06-01
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updated: 2026-06-02
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address: c-000005
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tags:
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- domain
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@@ -24,6 +24,10 @@ related:
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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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- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
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- "[[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]]"
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- "[[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]]"
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- "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
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- "[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]"
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- "[[Finite Element Method]]"
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- "[[Engineering Mathematical Models]]"
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sources:
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@@ -41,13 +45,17 @@ sources:
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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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- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
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- "[[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]]"
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- "[[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]]"
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- "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
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- "[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]"
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---
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# Computational Mechanics
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## Scope
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Computational mechanics uses numerical methods to model, discretize, and solve physical problems in solids, structures, heat transfer, fluids, field problems, and coupled multiphysics systems. This vault currently enters the domain through [[Finite Element Procedures]], [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]], [[Solid Element Notes]], the shell element paper [[A Continuum Mechanics Based Four-Node Shell]], the MITC4 implementation paper [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]], [[MITC Study Notes]], the shell buckling thesis [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]], the shell FE review [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]], the industrial theory reference [[Abaqus Theory Manual]], and the operational references [[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]], [[Abaqus-Analysis-User-s-Guide-Volume-III|Abaqus Analysis User's Guide Volume III]], [[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]], and [[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]].
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Computational mechanics uses numerical methods to model, discretize, and solve physical problems in solids, structures, heat transfer, fluids, field problems, and coupled multiphysics systems. This vault currently enters the domain through [[Finite Element Procedures]], [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]], [[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]], [[Solid Element Notes]], the shell element paper [[A Continuum Mechanics Based Four-Node Shell]], the MITC4 implementation paper [[Four-Node-Quadrilateral-Shell-Element-MITC4|Four-Node Quadrilateral Shell Element MITC4]], [[MITC Study Notes]], the shell buckling thesis [[Dynamic-Buckling-Analysis-of-Shell-Structures-using-Finite-Element-Method|Dynamic Buckling Analysis of Shell Structures using Finite Element Method]], the shell FE review [[On-the-Finite-Element-Analysis-of-Shell-Structures|On the Finite Element Analysis of Shell Structures]], the industrial theory reference [[Abaqus Theory Manual]], the operational Abaqus Analysis User's Guide references, the [[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]], the [[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]], and the [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]].
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## Core Threads
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@@ -58,6 +66,7 @@ Computational mechanics uses numerical methods to model, discretize, and solve p
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- [[Isoparametric Linear Solid Elements]], [[Solid Element Shape Functions]], [[Solid Element Strain-Displacement Matrix]], [[Solid Element Stiffness Integration]], and [[Incompatible Mode Solid Elements]] - 3D continuum solid element formulation and enrichment.
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- [[Mixed Finite Element Formulations]] - stable formulations for incompressibility and constrained fields.
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- [[Nonlinear Finite Element Analysis]] - incremental, iterative treatment of geometric, material, and contact nonlinearities.
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- [[Finite Element Plasticity]], [[Incremental Elasto-Plastic Solution Methods]], [[Plasticity Yield Criteria]], [[Plastic Flow Rules and Hardening]], [[Elasto-Viscoplastic Finite Element Analysis]], [[Elasto-Plastic Timoshenko Beam Analysis]], [[Elasto-Plastic Mindlin Plate Analysis]], [[Transient Dynamic Elasto-Plastic Analysis]], [[Finite Element Plasticity Program Architecture]], and [[Plasticity Benchmark and Input Data Cases]] - finite element plasticity theory, structural applications, dynamics, implementation, and verification cases.
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- [[Abaqus Analysis Procedures]], [[Abaqus Element Library]], [[Reduced Integration and Hourglass Control]], [[Hybrid Incompressible Elements]], [[Abaqus Constitutive Integration]], and [[Finite Element Contact Formulation]] - production finite element procedure, element, material, integration, and interface modeling choices.
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- [[Abaqus Element Selection and Formulation]], [[Abaqus Continuum Element Families]], [[Abaqus Structural Element Families]], [[Abaqus Beam and Shell Section Definitions]], [[Abaqus Inertial Rigid and Capacitance Elements]], [[Abaqus Connector Elements and Behaviors]], [[Abaqus Cohesive and Gasket Elements]], [[Abaqus Special-Purpose Interaction Elements]], [[Abaqus Fluid Acoustic Eulerian and Particle Elements]], [[Abaqus User-Defined Elements]], and [[Abaqus Element Indexes and Naming Conventions]] - production Abaqus element-family, section, interaction, particle, user-element, and naming workflows.
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- [[Abaqus Prescribed Conditions and Amplitudes]], [[Abaqus Initial and Boundary Conditions]], [[Abaqus Loads and Predefined Fields]], [[Abaqus Kinematic Constraints and MPCs]], [[Abaqus Surface-Based Constraints and Couplings]], [[Abaqus Embedded Elements and Overconstraints]], [[Abaqus Contact Interaction Definition]], [[Abaqus Contact Property Models]], [[Abaqus Contact Formulations and Enforcement]], [[Abaqus Contact Diagnostics and Modeling Difficulties]], [[Abaqus Standard Contact Elements]], and [[Abaqus Cavity Radiation Interactions]] - production Abaqus prescribed-condition, constraint, contact, diagnostic, contact-element, and radiation-interaction workflows.
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@@ -72,6 +81,9 @@ Computational mechanics uses numerical methods to model, discretize, and solve p
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- [[Dynamic Buckling Analysis]], [[Dynamic Instability Region]], and [[Geometric Stiffness Matrix]] - stability workflow for dynamically compressed shell and plate structures.
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- [[Static Equilibrium Equation Solvers]], [[Direct Time Integration Methods]], and [[Finite Element Eigenproblem Solvers]] - solver families for different equation types.
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- [[Finite Element Program Implementation]] - the practical data flow from input to element calculations, assembly, solution, and stress recovery.
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- [[Midas FEA Analysis Workflow]], [[Midas FEA Element Library]], [[Midas FEA Concrete Cracking and Material Models]], [[Midas FEA Nonlinear Solution Algorithms]], [[Midas FEA Linear Dynamics and Buckling Analyses]], [[Midas FEA Construction Stage Analysis]], [[Midas FEA Heat Transfer and Hydration Analysis]], [[Midas FEA Static Contact Analysis]], [[Midas FEA Fatigue Analysis]], and [[Midas FEA CFD Analysis]] - Midas production finite element workflows for civil nonlinear analysis, staged concrete behavior, contact, fatigue, and wind-CFD.
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- [[Midas Civil Numerical Analysis Model]], [[Midas Civil Element Library and Section Stiffness]], [[Midas Civil Boundary Supports and Links]], [[Midas Civil Dynamic and Seismic Analysis]], [[Midas Civil Buckling P-Delta and Geometric Nonlinearity]], [[Midas Civil Boundary and Material Nonlinear Analysis]], [[Midas Civil Construction Stage and Time-Dependent Analysis]], [[Midas Civil Heat of Hydration and Thermal Stress Analysis]], [[Midas Civil PSC and Prestress Loss Analysis]], and [[Midas Civil Moving Load Bridge Analysis]] - midas Civil bridge-oriented structural analysis workflows for model definition, supports, dynamics, nonlinear response, staged construction, hydration thermal stress, prestress, and moving loads.
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- [[Midas NFX Analysis Workflow]], [[Midas NFX Element Library]], [[Midas NFX Material and Composite Models]], [[Midas NFX Equation Solvers and Eigen Extraction]], [[Midas NFX Linear Dynamics and Buckling Analyses]], [[Midas NFX Nonlinear Static and Dynamic Algorithms]], [[Midas NFX Contact Analysis]], [[Midas NFX Fatigue Analysis]], [[Midas NFX Heat Transfer Joule Heating and Thermal Stress]], and [[Midas NFX Structural Optimization and Forming Limit Analysis]] - midas NFX general-purpose workflows for model setup, elements, materials, equation solving, eigen extraction, dynamics, nonlinear analysis, contact, fatigue, thermal/electrical coupling, optimization, and forming-limit checks.
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## Current Source Base
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@@ -89,3 +101,7 @@ Computational mechanics uses numerical methods to model, discretize, and solve p
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- [[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]] from `.raw/AbaqusAnalysisUserGuide4/`.
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- [[Abaqus-Analysis-User-s-Guide-Volume-V|Abaqus Analysis User's Guide Volume V]] from `.raw/AbaqusAnalysisUserGuide5/`.
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- [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]] by [[Daryl L. Logan]].
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- [[Finite-Elements-in-Plasticity-Theory-and-Practice|Finite Elements in Plasticity: Theory and Practice]] by [[D. R. J. Owen]] and [[E. Hinton]] from `.raw/FiniteElementsinPlasticityTheoryandPractice/`.
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- [[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]] from `.raw/MidasFEAAnalysisManual/`.
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- [[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]] from `.raw/MidasCivilAnalysisReference/`.
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- [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]] from `.raw/MidasNFXAnalysisManual/`.
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@@ -1,6 +1,7 @@
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---
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type: meta
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title: "Domains Index"
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created: 2026-05-28
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updated: 2026-05-28
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tags:
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- meta
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