Generalized thermo-viscoelastic plane waves with two relaxation times

Abstract

The model of the two-dimensional generalized thermo-viscoelasticity with two relaxation times (Green and Lindsay theory) is established. The normal mode analysis is used to obtain the exact expressions for the temperature distribution, thermal stresses and the displacement components. The resulting formulation is applied to three different concrete problems. The first deals with a thick plate subjected to a time-dependent heat source on each face. The second concerns to the case of a heated punch moving across the surface of a semi-infinite thermo-viscoelastic half-space subjected to appropriate boundary conditions and the third problem deals with a plate with thermo-isolated surfaces subjected to a time-dependent compression. Numerical results are given and illustrated for each problem. Comparisons are made with the results predicted by the coupled theory.