International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 567-578
doi:10.1155/S0161171290000801
A coupled magneto-thermoelastic problem in a perfectly conducting elastic half-space with thermal relaxation
S.K. Roy Choudhuri1
and Gargi Chatterjee2
1Department of Mathematics, Burdwan University, West Bengal, India
2R.B.C. College, Naihati, West Bengal, India
Abstract
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 [1] 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 [2] 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 [3] in absence of the thermal relaxation time.