13.77. PLANE77 - 2-D 8-Node Thermal Solid

Matrix or Vector	Geometry	Shape Functions	Integration Points
Conductivity Matrix and Heat Generation Load Vector	Quad	Equation 11–138	3 x 3
Conductivity Matrix and Heat Generation Load Vector	Triangle	Equation 11–117	6
Specific Heat Matrix	Same as conductivity matrix. If KEYOPT(1) = 1, matrix is diagonalized as described in Lumped Matrices		Same as conductivity matrix
Convection Surface Matrix and Load Vector	Same as conductivity matrix, specialized to the face		2

13.77.1. Other Applicable Sections

Heat Flow describes the derivation of the thermal element matrices and load vectors as well as heat flux evaluations. If KEYOPT(1) = 1, the specific heat matrix is diagonalized as described in Lumped Matrices.

13.77.2. Assumptions and Restrictions

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