modify wiki
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@@ -7,7 +7,7 @@ aliases:
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- FEM
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- finite element analysis
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created: 2026-05-28
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updated: 2026-05-28
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updated: 2026-05-29
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address: c-000006
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tags:
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- concept
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@@ -22,11 +22,18 @@ related:
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- "[[Isoparametric Linear Solid Elements]]"
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- "[[Continuum Mechanics Based Four-Node Shell Element]]"
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- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
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- "[[Abaqus Theory Manual]]"
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- "[[Abaqus Element Library]]"
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- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
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- "[[Direct Stiffness Method]]"
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- "[[Finite Element Modeling and Convergence Checks]]"
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sources:
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- "[[Finite Element Procedures]]"
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- "[[A Continuum Mechanics Based Four-Node Shell]]"
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- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
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- "[[Solid Element Notes]]"
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- "[[Abaqus Theory Manual]]"
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- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
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---
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# Finite Element Method
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@@ -49,13 +56,20 @@ The shell FE review reinforces the same modeling-first point: shell results requ
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[[Solid Element Notes]] adds a compact element-level derivation for 3D continuum elements: natural-coordinate shape functions, Jacobian derivative mapping, `B` and `D` matrices, stiffness integration, and incompatible mode enrichment.
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[[Abaqus Theory Manual]] adds an industrial reference layer: it shows how finite element theory is organized inside a production analysis system through procedures, element libraries, material-point updates, contact, constraints, and coupled-field analyses.
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[[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.
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## Key Connections
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- [[Engineering Mathematical Models]] defines what is being solved.
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- [[Displacement-Based Finite Element Formulation]] gives the main solid mechanics derivation.
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- [[Isoparametric Finite Elements]] describes practical element construction.
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- [[Direct Stiffness Method]] shows the basic matrix assembly workflow.
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- [[Finite Element Modeling and Convergence Checks]] captures practical mesh and result checks.
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- [[Continuum Mechanics Based Four-Node Shell Element]] is a focused low-order shell formulation example.
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- [[Static Equilibrium Equation Solvers]], [[Direct Time Integration Methods]], and [[Finite Element Eigenproblem Solvers]] solve the resulting systems.
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- [[Abaqus Element Library]] and [[Abaqus Analysis Procedures]] show how those ideas are packaged in a general-purpose FE code.
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## Sources
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@@ -63,3 +77,5 @@ The shell FE review reinforces the same modeling-first point: shell results requ
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- [[A Continuum Mechanics Based Four-Node Shell]]
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- [[On-the-Finite-Element-Analysis-of-Shell-Structures]]
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- [[Solid Element Notes]]
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- [[Abaqus Theory Manual]]
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- [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]
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