A two-dimensional thermoelasticity problem for thermomechanical shock with two relaxation times

In this work a two-dimensional problem of thermoelasticity with two relaxation times is introduced. Laplace and Fourier transform techniques are used. The resulting formulation is applied to a thermomechanical shock half-space problem. The solution in the transformed domain obtained by using a direct approach. Numerical inversion of both transforms is carried out to obtain the temperature, stress and displacement distributions in the physical domain. Numerical results are represented graphically.