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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Format: | Article |
Language: | English |
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Wiley
1990-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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. |
format | Article |
id | doaj-art-47c7d44dfa734f8d80c4a5b1040c2afd |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1990-01-01 |
publisher | Wiley |
record_format | Article |
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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