Shape Functions for FEA

Version 1.0.3 (291 KB) von 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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Aktualisiert 26. Mai 2023

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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)

Zitieren als

Eric Trudel (2025). Shape Functions for FEA (https://de.mathworks.com/matlabcentral/fileexchange/129889-shape-functions-for-fea), MATLAB Central File Exchange. Abgerufen.

Kompatibilität der MATLAB-Version
Erstellt mit R2020b
Kompatibel mit R2020b und späteren Versionen
Plattform-Kompatibilität
Windows macOS Linux
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Version Veröffentlicht Versionshinweise
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