Shape Functions for FEA

Shape or basis functions interpolate along or within a polygon. This script will derive shape functions for many shapes.

버전 1.0.3 (291 KB)
다운로드 수: 91
(0)
2023/5/26

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This Script will derive Shape/Basis functions for many shapes
The gaussian weights for numerical integration (gaussian quadrature) of some shapes are also presented.
Additionally the "B" matrix for finite element is also provided for some shapes. This would be the "strain displacement matrix".
Shapes for basis functions within the script include:
  • Lines
  • Triangle (2D)
  • Quadrilateral (2D)
  • Cube
  • Tetrahedron
  • Prism/Wedge
  • Pyramid
  • Pentagon (2D)
  • Rectangular-Pentagon (3D)

인용 양식

Eric Trudel (2026). Shape Functions for FEA (https://kr.mathworks.com/matlabcentral/fileexchange/129889-shape-functions-for-fea), MATLAB Central File Exchange. 검색 날짜: .

일반 정보

MATLAB 릴리스 호환 정보

  • R2020b 이상 릴리스와 호환

플랫폼 호환성

  • Windows
  • macOS
  • Linux
새 탭에서 열기
버전 퍼블리시됨 릴리스 정보
1.0.3

Added Rectangular Pentagon with 3D wachpress coordinates.
Refined descriptions.
1.0.2

Added a description for an additional method for constructing shape functions.
The 2nd Order Prism shape function has an additional derivation method that produces better results.
1.0.1

Fixed grammar mistakes in the summary.
1.0.0