| Matrix or Vector | Geometry | Shape Functions | Integration Points |
|---|---|---|---|
| Stiffness and Stress Stiffness Matrices; Thermal Expansion, Diffusion Expansion, and Electrostatic Force Load Vectors | Quad | Equation 11–134 and Equation 11–135 | 2 x 2 |
| Triangle | Equation 11–112 and Equation 11–113 | 3 | |
| Mass Matrix | Quad | Same as stiffness matrix | 3 x 3 |
| Triangle | 3 | ||
| Pressure Load Vector | Same as stiffness matrix, specialized to the face | 2 | |
| Thermal Conductivity Matrix and Heat Generation Load Vector | Quad | Equation 11–138 | 2 x 2 |
| Triangle | Equation 11–117 | 3 | |
| Specific Heat Matrix | Same as thermal conductivity matrix | ||
| Convection Surface Matrix and Load Vector | Same as thermal conductivity matrix, specialized to the face | 2 | |
| Dielectric Permittivity and Electrical Conductivity Matrices; Charge Density, Joule Heating, and Peltier Heat Flux Load Vectors | Quad | Equation 11–139 | 2 x 2 |
| Triangle | Equation 11–118 | 3 | |
| Magnetic Potential Coefficient and Eddy Current Damping Matrices; Permanent Magnet and Applied Current Load Vectors | Quad | Equation 11–137 | 3 x 3 [1] |
| Triangle | Equation 11–115 | 3 | |
| Diffusivity Matrix and Diffusing Substance Generation Load Vector | Quad | Equation 11–140 | 2 x 2 |
| Triangle | Equation 11–119 | 3 | |
| Diffusion Damping Matrix | Same as diffusivity matrix. If KEYOPT(10)=1, matrix is diagonalized as described in Lumped Matrices | ||
| Diffusion Flux Load Vector | Same as diffusivity matrix, specialized to the face | 2 | |
| Thermoelastic stiffness and Damping Matrices | Same as combination of stiffness and thermal conductivity matrices | ||
| Piezoelectric Coupling Matrix | Same as combination of stiffness matrix and dielectric matrix | ||
| Seebeck Coefficient Coupling Matrix | Same as combination of electrical conductivity and thermal conductivity matrices | ||
| Diffusion-Elastic Stiffness Matrix | Same as combination of stiffness and diffusivity matrices | ||
| Surface Charge Density Load Vector | Same as dielectric matrix, specialized to the face | 2 | |
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. Electromagnetics describes the derivation of the electric and magnetic element matrices and load vectors, as well as electric and magnetic field evaluations. Piezoelectrics discusses the piezoelectric capability used by the element. Piezoresistivity discusses the piezoresistive effect. Thermoelectrics discusses the thermoelectric effects. Thermoelasticity discusses the thermoelastic effects. Electroelasticity discusses the Maxwell stress electroelastic coupling. Thermoplasticity discusses the thermoplastic effect. Structural-Diffusion Coupling discusses diffusion strain coupling.