Shape Functions for FEA

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

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)