International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 567-578
A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation
1Department of Mathematics, Burdwan University, West Bengal, India
2R.B.C. College, Naihati, West Bengal, India
Received 12 January 1988; Revised 14 August 1989
Copyright © 1990 S. K. Roy-Choudhuri and Gargi Chatterjee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In the present paper we consider the magneto-thermo-elastic wave produced by a thermal shock in a perfectly conducting elastic half-space. Here the Lord-Shulman theory of thermoelasticity  is used to account for the interaction between the elastic and thermal fields. The solution obtained in analytical form reduces to those of Kaliski and Nowacki  when the coupling between the temperature and strain fields and the relaxation time are neglected. The results also agree with those of Massalas and DaLamangas  in absence of the thermal relaxation time.