Thermal Analysis can be used to calculate the temperature, thermal strain and stress of a body under heat conduction and convection. Nodal flexible and nodal EasyFlex bodies are available in this analysis. The governing equations for the steady state thermal analysis can be represented by the following equation.

(9–19)

where   and   are the nodal temperature vector and its change in the NR iteration.   is the thermal conductivity matrix of the body.   is the nodal heat flow vector such as heat flow input, convection, and internal heat generation. In general, the thermal conductivity matrix can be calculated using the following equation.

(9–20)

Where   and   are the partial derivative of the shape function and the conductivity matrix which is defined from the material properties. The nodal thermal strain can be calculated by using the following equation.

(9–21)

where   and   are the thermal expansion coefficient and the reference temperature which is defined from the material properties.

In transient thermal analysis, the heat capacity effect is required in the steady-state thermal analysis. The governing equations for the transient thermal analysis can be represented as follows.

(9–22)

(9–23)

Where   and   are the heat capacity matrix and the coefficients of the integrator. The heat capacity matrix can be calculated using the following equation.

(9–24)

Where   and   are the density and specific heat which is defined from the material properties.   is the shape function.