PS

Pian-Sumihara Quadrilateral Element

• Number of Nodes: 4
• Number of DoFs: 2 (Translation, Translation)
• Supports Body Force
• Integration Scheme: 2^nd Order Gauss
• Constant Consistent Mass Matrix With Same Order Integration

References

1. https://doi.org/10.1002/nme.1620200911
2. https://doi.org/10.1002/nme.6066

Syntax

element PS (1) (2...5) (6) [7]
# (1) int, unique element tag
# (2...5) int, node i, j, k, l
# (6) int, material tag
# [7] double, element thickness, default: 1.0

Remarks

1. The original five-parameter stress field is used for stress interpolation.
2. The mixed framework is used to extend the original formulation to accommodate elastoplastic applications.
3. As there is no enhanced strain, no local iteration is required. Hence PS is faster than elements such as QE2.