GCMQ

Generalised Conforming Mixed Quadrilateral With Drilling DoFs

• Number of Nodes: 4

• Number of DoFs: 3 (Translation, Translation, Rotation)

• Supports Body Force

• Constant Consistent Mass Matrix With Same Order Integration

encoding

References

1. 10.1002/nme.6066
2. 10.1016/j.engstruct.2019.109592
3. 10.1016/j.engstruct.2020.110760

Syntax

element GCMQ (1) (2...5) (6) [7] [8]
# (1) int, unique element tag
# (2...5) int, node i, j, k, l
# (6) int, material tag
# [7] double, element thickness, default: 1.0
# [8] string, integration switch, default: "I"

element GCMQI (1) (2...5) (6) [7] [8]
element GCMQL (1) (2...5) (6) [7] [8]
element GCMQG (1) (2...5) (6) [7] [8]
# (1) int, unique element tag
# (2...5) int, node i, j, k, l
# (6) int, material tag
# [7] double, element thickness, default: 1.0

element SGCMQI (1) (2...5) (6) [7] [8]
element SGCMQL (1) (2...5) (6) [7] [8]
element SGCMQG (1) (2...5) (6) [7] [8]
# (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

• Three integration schemes are available: "I", "L" and "G".

  • "I": Five-Point Irons Scheme

  • "L": 3rd Order Lobatto Scheme

  • "G": 3rd Order Gauss Scheme

• GCMQ is the full version described in [1] with enhanced strain, SGCMQ is a PS like element with no enhanced strain, the direct result of which is less computation is required (less than CP8R).