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2026-06-02 16:33:07 +09:00
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wiki/concepts/Finite Element Method.md
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@@ -7,7 +7,7 @@ aliases:
- FEM
- finite element analysis
created: 2026-05-28
updated: 2026-05-29
updated: 2026-06-02
address: c-000006
tags:
- concept
@@ -27,6 +27,15 @@ related:
- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
- "[[Direct Stiffness Method]]"
- "[[Finite Element Modeling and Convergence Checks]]"
- "[[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]]"
- "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
- "[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]"
- "[[Midas FEA Analysis Workflow]]"
- "[[Midas FEA Element Library]]"
- "[[Midas Civil Numerical Analysis Model]]"
- "[[Midas Civil Element Library and Section Stiffness]]"
- "[[Midas NFX Analysis Workflow]]"
- "[[Midas NFX Element Library]]"
sources:
- "[[Finite Element Procedures]]"
- "[[A Continuum Mechanics Based Four-Node Shell]]"
@@ -34,6 +43,9 @@ sources:
- "[[Solid Element Notes]]"
- "[[Abaqus Theory Manual]]"
- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
- "[[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]]"
- "[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]"
- "[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]"
---
# Finite Element Method
@@ -60,6 +72,12 @@ The shell FE review reinforces the same modeling-first point: shell results requ
[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]] adds a pedagogical layer: it walks the method from springs and bars to trusses, beams, frames, plane elements, axisymmetric elements, isoparametric elements, heat transfer, thermal stress, and dynamics.
[[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]] adds a second production-solver layer beside Abaqus: it connects structural element libraries, concrete cracking, interface laws, nonlinear algorithms, staged construction, hydration heat, contact, fatigue, and CFD into one civil structural analysis workflow.
[[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]] adds the bridge/civil structural layer: it connects nodes, elements, local coordinates, section stiffness, supports, links, seismic dynamics, nonlinear hinges, construction stages, hydration thermal stress, PSC, moving loads, and civil design utilities.
[[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]] adds the general-purpose MIDAS layer: it connects nodes, DOFs, coordinate systems, finite rotations, element formulations, material/composite models, solver selection, eigen extraction, nonlinear dynamics, contact, fatigue, heat transfer, Joule heating, optimization, and forming-limit analysis.
## Key Connections
- [[Engineering Mathematical Models]] defines what is being solved.
@@ -70,6 +88,9 @@ The shell FE review reinforces the same modeling-first point: shell results requ
- [[Continuum Mechanics Based Four-Node Shell Element]] is a focused low-order shell formulation example.
- [[Static Equilibrium Equation Solvers]], [[Direct Time Integration Methods]], and [[Finite Element Eigenproblem Solvers]] solve the resulting systems.
- [[Abaqus Element Library]] and [[Abaqus Analysis Procedures]] show how those ideas are packaged in a general-purpose FE code.
- [[Midas FEA Analysis Workflow]] and [[Midas FEA Element Library]] show how the same ideas are packaged in a civil nonlinear detail analysis product.
- [[Midas Civil Numerical Analysis Model]] and [[Midas Civil Element Library and Section Stiffness]] show how the same ideas are packaged for bridge/civil structural analysis.
- [[Midas NFX Analysis Workflow]] and [[Midas NFX Element Library]] show how the same ideas are packaged in a general-purpose MIDAS finite element product.
## Sources
@@ -79,3 +100,6 @@ The shell FE review reinforces the same modeling-first point: shell results requ
- [[Solid Element Notes]]
- [[Abaqus Theory Manual]]
- [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]
- [[Midas-FEA-Analysis-Manual|Midas FEA Analysis Manual]]
- [[Midas-Civil-Analysis-Reference|Midas Civil Analysis Reference]]
- [[Midas-NFX-Analysis-Manual|Midas NFX Analysis Manual]]