13.183. PLANE183 - 2D 8-Node Structural Solid

Matrix or VectorGeometryShape FunctionsIntegration Points
Stiffness and Stress Stiffness Matrices; and Thermal Load VectorQuadEquation 11–137 and Equation 11–1382 x 2
TriangleEquation 11–114 and Equation 11–1153
Mass MatrixQuadSame as stiffness matrix3 x 3
Triangle3
Pressure Load VectorSame 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([40])

13.183.1. Other Applicable Sections

Structures describes the derivation of structural element matrices and load vectors as well as stress evaluations. General Element Formulations gives the general element formulations used by this element.

13.183.2. Assumptions and Restrictions

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