1.16. SOLID95 - 3D 20-Node Structural Solid

Matrix or VectorGeometryShape FunctionsIntegration Points
Stiffness, Mass, and Stress Stiffness Matrices; and Thermal Load VectorBrickEquation 11–236 , Equation 11–237, and Equation 11–238

14 if KEYOPT(11) = 0
2 x 2 x 2 if KEYOPT(11) = 1

WedgeEquation 11–211, Equation 11–212, and Equation 11–2133 x 3
PyramidEquation 11–195, Equation 11–196, and Equation 11–1972 x 2 x 2
TetEquation 11–187, Equation 11–188, and Equation 11–1894
Pressure Load VectorQuadEquation 11–82 and Equation 11–833 x 3
TriangleEquation 11–58 and Equation 11–596
Load TypeDistribution
Element Temperature Same as shape functions thru element
Nodal TemperatureSame as shape functions thru element
PressureBilinear across each face

Reference: Zienkiewicz

 

1.16.1. Other Applicable Sections

Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations. If KEYOPT(3) = 1, the mass matrix is diagonalized as described in Lumped Matrices.