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

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 anal...

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Main Authors: S. K. Roy-Choudhuri, Gargi Chatterjee
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000801
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author S. K. Roy-Choudhuri
Gargi Chatterjee
author_facet S. K. Roy-Choudhuri
Gargi Chatterjee
author_sort S. K. Roy-Choudhuri
collection DOAJ
description 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.
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-47c7d44dfa734f8d80c4a5b1040c2afd2025-02-03T01:31:48ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113356757810.1155/S0161171290000801A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxationS. K. Roy-Choudhuri0Gargi Chatterjee1Department of Mathematics, Burdwan University, West Bengal, IndiaR.B.C. College, Naihati, West Bengal, IndiaIn 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.http://dx.doi.org/10.1155/S0161171290000801magneto-thermoelastic wave; thermal relaxation time.
spellingShingle S. K. Roy-Choudhuri
Gargi Chatterjee
A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation
International Journal of Mathematics and Mathematical Sciences
magneto-thermoelastic wave; thermal relaxation time.
title A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation
title_full A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation
title_fullStr A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation
title_full_unstemmed A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation
title_short A coupled magneto-thermo-elastic problem in a perfectly conducting elastic half-space with thermal relaxation
title_sort coupled magneto thermo elastic problem in a perfectly conducting elastic half space with thermal relaxation
topic magneto-thermoelastic wave; thermal relaxation time.
url http://dx.doi.org/10.1155/S0161171290000801
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AT skroychoudhuri coupledmagnetothermoelasticprobleminaperfectlyconductingelastichalfspacewiththermalrelaxation
AT gargichatterjee coupledmagnetothermoelasticprobleminaperfectlyconductingelastichalfspacewiththermalrelaxation