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Magneto-thermoelastic waves induced by a thermal shock in a finitely conducting elastic half space. (English) Zbl 0844.73070
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 [H. W. Lord and 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.

74F15 Electromagnetic effects in solid mechanics
74J10 Bulk waves in solid mechanics
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