13.213. CPT213 - 2D 8-Node Coupled Pore-Pressure-Thermal Mechanical Solid

13.213. CPT213 - 2D 8-Node Coupled Pore-Pressure-Thermal Mechanical Solid

Matrix or Vector	Geometry	Shape Functions	Integration Points
Stiffness and Stress Stiffness Matrices	Quad	Equation 11–137 and Equation 11–138	2 x 2
Stiffness and Stress Stiffness Matrices	Triangle	Equation 11–114 and Equation 11–115	3
Mass Matrix	Quad	Same as stiffness matrix	3 x 3
Mass Matrix	Triangle	Same as stiffness matrix	3
Pressure and Temperature Load Vector	Same as stiffness matrix, specialized to the edge		2
Flow Load Vector	Linear across each edge		2

Load Type	Distribution
Element Temperature	Same as shape functions across element, constant thru thickness or around circumference
Nodal Temperature	Same as element temperature distribution
Surface Pressure Load	Linear along each edge
Flow and heat flux	Linear along each edge

Reference: Zienkiewicz(39)

13.213.1. Other Applicable Sections

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

13.213.2. Assumptions and Restrictions

A dropped midside node implies that the edge is and remains straight.