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A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation

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  • S. K. Roy-Choudhuri
  • Gargi Chatterjee

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.

Suggested Citation

  • S. K. Roy-Choudhuri & Gargi Chatterjee, 1990. "A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 13, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:562568
    DOI: 10.1155/S0161171290000801
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