Shape Functions for FEA

バージョン 1.0.3 (291 KB) 作成者: Eric Trudel
Shape or basis functions interpolate along or within a polygon. This script will derive shape functions for many shapes.
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更新 2023/5/26

ライセンスの表示

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)

引用

Eric Trudel (2025). Shape Functions for FEA (https://jp.mathworks.com/matlabcentral/fileexchange/129889-shape-functions-for-fea), MATLAB Central File Exchange. に取得済み.

MATLAB リリースの互換性
作成: R2020b
R2020b 以降のリリースと互換性あり
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バージョン 公開済み リリース ノート
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