13.292. PLANE292 - 2D 4-Node Thermal Element

Matrix or VectorGeometryShape Functions Integration Points
Conductivity Matrix and Heat Generation Load VectorQuad Equation 11–130 2 x 2
Triangle Equation 11–109

1 if planar
3 if axisymmetric

Specific Heat MatrixSame as conductivity matrix. Matrix is diagonalized as described in Lumped Matrices.Same as conductivity matrix
Convection Surface Matrix and Load VectorSame as conductivity matrix evaluated at the face2

13.292.1. Other Applicable Sections

Heat Flow describes the derivation of the element matrices and load vectors as well as heat flux evaluations for a general thermal analysis element. Mass Transport is discussed in Mass Transport (Advection) and Mass Transport (Advection) in the Thermal Analysis Guide.