13.78. PLANE78 - Axisymmetric-Harmonic 8-Node Thermal Solid

Matrix or VectorGeometryShape FunctionsIntegration Points
Conductivity Matrix and Heat Generation Load VectorQuadEquation 11–1743 x 3
TriangleEquation 11–1636
Specific Heat MatrixSame as conductivity matrix. If KEYOPT(1) = 1, matrix is diagonalized as described in Lumped MatricesSame as conductivity matrix
Convection Surface Matrix and Load VectorSame as stiffness matrix, specialized to the face 2
 

13.78.1. Other Applicable Sections

Heat Flow describes the derivation of the thermal element matrices and load vectors as well as heat flux evaluations.

 

13.78.2. Assumptions and Restrictions

A dropped midside node implies that the edge is straight and that the temperature varies linearly along that edge.