Shape Functions for FEA

版本 1.0.3 (291.4 KB) 作者: 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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更新时间 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)

引用格式

Eric Trudel (2024). Shape Functions for FEA (https://www.mathworks.com/matlabcentral/fileexchange/129889-shape-functions-for-fea), MATLAB Central File Exchange. 检索来源 .

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版本 已发布 发行说明
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