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김경종
2026-06-01 09:36:33 +09:00
parent b7b79e38b1
commit b195ac126c
74 changed files with 3421 additions and 402 deletions
@@ -7,7 +7,7 @@ aliases:
- isoparametric elements
- isoparametric formulation
created: 2026-05-28
updated: 2026-05-29
updated: 2026-06-01
address: c-000009
tags:
- concept
@@ -24,6 +24,8 @@ related:
- "[[Continuum Mechanics Based Four-Node Shell Element]]"
- "[[Assumed Transverse Shear Strain Interpolation]]"
- "[[Abaqus Element Library]]"
- "[[Abaqus Continuum Element Families]]"
- "[[Abaqus Element Selection and Formulation]]"
- "[[Reduced Integration and Hourglass Control]]"
- "[[Hybrid Incompressible Elements]]"
- "[[Plane Stress and Plane Strain Elements]]"
@@ -33,6 +35,7 @@ sources:
- "[[A Continuum Mechanics Based Four-Node Shell]]"
- "[[Solid Element Notes]]"
- "[[Abaqus Theory Manual]]"
- "[[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]"
- "[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]"
---
@@ -56,6 +59,8 @@ The four-node shell paper is an example of this bridge: a general quadrilateral
[[Abaqus Element Library]] shows the same framework at software-library scale: isoparametric interpolation, numerical integration points, full or reduced quadrature, multi-field interpolation, and hybrid pressure variables become selectable element families.
[[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]] turns those ideas into named continuum elements: bricks, wedges, tetrahedra, plane elements, axisymmetric elements, fluid continuum elements, and coupled-field variants whose suffixes indicate reduced integration, hybrid pressure treatment, incompatible modes, temperature, pore pressure, or piezoelectric fields.
[[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]] adds the teaching path: it develops isoparametric bar, rectangular plane stress, general plane, higher-order, and three-dimensional stress elements before connecting them to Gaussian and Newton-Cotes quadrature.
## Failure Modes
@@ -71,4 +76,5 @@ The four-node shell paper is an example of this bridge: a general quadrilateral
- [[A Continuum Mechanics Based Four-Node Shell]]
- [[Solid Element Notes]]
- [[Abaqus Theory Manual]]
- [[Abaqus-Analysis-User-s-Guide-Volume-IV|Abaqus Analysis User's Guide Volume IV]]
- [[A-First-Course-in-the-Finite-Element-Method|A First Course in the Finite Element Method]]