| Matrix or Vector | Element configuration | Shape Functions | Integration Points |
|---|---|---|---|
| Stiffness Matrix; and Newton-Raphson | 2-node (KEYOPT(4) = 0) | Equation 11–6 | 1 |
| 3-node (KEYOPT(4) = 1) | Equation 11–19 | 2 | |
| Mass and Stress Stiffness Matrices | 2-node (KEYOPT(4) = 0) | Equation 11–6, Equation 11–7, and Equation 11–8 | 1 |
| 3-node (KEYOPT(4) = 1) | Equation 11–19, Equation 11–20, and Equation 11–21 | 2 | |
| Thermal Conductivity and Specific Heat Matrix; and Heat Generation Load Vector | 2-node (KEYOPT(4) = 0) | Equation 11–13 | 1 |
| 3-node (KEYOPT(4) = 1) | Equation 11–25 | 2 | |
| Electrical Conductivity and Dielectric Permittivity Matrices; Joule Heating, and Peltier Heat Flux Load Vectors | 2-node (KEYOPT(4) = 0) | Equation 11–14 | 1 |
| 3-node (KEYOPT(4) = 1) | Equation 11–26 | 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. | ||
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 element matrices and load vectors, as well as electric field evaluations. Thermoelectrics discusses the thermoelectric effects. Thermoelasticity discusses the thermoelastic effects. Thermoplasticity discusses the thermoplastic effect.
The theory for this element is a reduction of the theory for 3D beam (BEAM189 - 3D 3-Node Beam) and 3D coupled-field solid elements. The element is not capable of carrying bending loads and shear effects.