Abstract
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 [1] is used to account for the interaction between the elastic and thermal fields. Laplace transform on 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 dilational and thermal wavefronts, whereas the perturbed magnetic field, stress and the temperature suffer discontinuities at these locations. The perturbed magnetic field, is, however, discontinuous at the Alf'ven-acoustic wavefront in vacuum.
Highlights
The generation of magneto-thermoelastic waves by a thermal shock in a perfectly conducting half-space in contact with vacuum was investigated by Kaliski and Nowacki [2]
In the present paper we extend the problem [7] assuming that the elastic half-space has a finite conductivity in the case when the boundary of the half-space is subjected to a prescribed normal load and thermal shock
We assume that a magneto-thermoelastic wave is produced in an elastic half-space xl 0 due to a normal load and a thermal shock applied on xt -0
Summary
The generation of magneto-thermoelastic waves by a thermal shock in a perfectly conducting half-space in contact with vacuum was investigated by Kaliski and Nowacki [2]. Both media were supposed to be permeated by a primary uniform magnetic field. [2], [3] and [5] were investigated respectively by Kaliski and Nowacki [8], Massalas and Dalamangas [9] and Roychoudhuri and Chatterjee [10], where they assumed that the elastic half-space had a finite conductivity. The solutions valid for short-times, for the deformation, stress, temperature distribution and perturbed magnetic field in the half-space as well as in the vacuum are derived
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