Abstract
The classical body-force analogy for static or quasi-static problems of thermoelasticity is extended towards coupled dynamic problems of thermoelasticity. We consider two dynamic problems, namely a thermal problem without body forces, but with a given distribution of transient sources of heat, and a force problem without sources of heat, but with body forces. Both problems are treated within the context of the coupled dynamic thermoelasticity. We show that, given suitable boundary and initial conditions, a distribution of body forces can be constructed, such that the dynamic displacements or transient temperature in both problems become equal.
