1.14. PLANE82 - 2D 8-Node Structural Solid

Matrix or VectorGeometryShape FunctionsIntegration Points
Mass, Stiffness and Stress Stiffness Matrices; and Thermal Load VectorQuadEquation 11–137 and Equation 11–1382 x 2
TriangleEquation 11–114 and Equation 11–1153
Pressure Load Vector Same as stiffness matrix, specialized to the face2 along face
Load TypeDistribution
Element TemperatureSame as shape functions across element, constant thru thickness or around circumference
Nodal TemperatureSame as element temperature distribution
PressureLinear along each face

Reference: Zienkiewicz

 

1.14.1. Other Applicable Sections

Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations.

 

1.14.2. Assumptions and Restrictions

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