13.216. CPT216 - 3D 20-Node Coupled Pore-Pressure-Thermal Mechanical Solid

Matrix or VectorGeometryShape FunctionsIntegration Points
Stiffness and Stress Stiffness MatricesBrickEquation 11–236, Equation 11–237, and Equation 11–23814
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
Mass MatrixSame as stiffness matrix.3 x 3 x 3 if brick. If other shapes, same as stiffness matrix.
Pressure and Temperature Load VectorQuadEquation 11–82 and Equation 11–833 x 3
TriangleEquation 11–58 and Equation 11–596
Flow Load Vector QuadEquation 11–82 and Equation 11–833 x 3
TriangleEquation 11–58 and Equation 11–596
Damping MatricesSame as stiffness matrix
Load TypeDistribution
Element TemperatureBilinear in plane of element
Nodal TemperatureSame as shape functions thru element
Surface Pressure LoadBilinear across each face
Flow and heat fluxBilinear across each face

13.216.1. Other Applicable Sections

General Element Formulations gives the general element formulations used by this element.