Abstract
The classical body force analogy for static problems of thermoelasticity is extended towards generalized thermoelastic problems including Lord-Shulman’s and Green-Lindsay’s theories. 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 two different theories of generalized thermoelasticity. We show that, given suitable boundary and initial conditions, a distribution of body forces can be constructed, such that the dynamic displacements in both problems become equal. This analogy is checked by means of illustrative analytical examples. We also discuss the relations between the stresses and the temperature in both problems.
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