Magneto-thermoelastic waves induced by a thermal shock in a finitely conducting elastic half space (Q1907714)

The propagation of magneto-thermoelastic disturbances produced by a thermal shock in a finitely conducting elastic half-space in contact with vacuum is investigated. The boundary of the half-space is subjected to a normal load. Lord-Shulman theory of thermoelasticity [\textit{H. W. Lord} and \textit{Y. Shulman}, J. Mech. Phys. Solids 15, 299-309 (1967; Zbl 0156.22702)] is used to account for the interaction between the elastic and thermal fields. Laplace transform in time is used to obtain the short-time approximations of the solutions because of the short duration of `second sound' effects. It is found that in the half-space the displacement is continuous at the modified dilatational and thermal wavefronts, whereas the perturbed magnetic field, stress and the temperature suffer discontinuities at these locations.