Generalized thermoelasticity problem for a plate subjected to moving heat sources on both sides

The problem of a thick plate subjected to a moving heat source on each face is considered within the context of the theory of generalized thermoelasticity with one relaxation time. Integral transform techniques are adopted, namely, the Laplace transform for the time variable and the exponential Fourier transform for one of the space variables. Exact expressions for the temperature distribution, thermal stresses, and the displacement components are obtained in the transformed domain. A numerical approach is implemented for the inversion of both transforms in order to obtain the solution in the physical domain. Results for a particular case are computed and shown graphically. These results are compared with the corresponding results obtained using the equations of the theory of coupled thermoelasticity.