Thermoelastic waves in an infinite solid caused by a line heat source
The generalized thermoelasticity theory recently developed by Green and Naghdi is employed to investigate thermoelastic interactions caused by a continuous line heat source in a homogeneous isotropic unbounded solid. Hankel-Laplace transform technique is used to solve the problem. Explicit expressio...
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297000434 |
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| _version_ | 1849400155875311616 |
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| author | Ranjit S. Dhaliwal Samir R. Majumdar Jun Wang |
| author_facet | Ranjit S. Dhaliwal Samir R. Majumdar Jun Wang |
| author_sort | Ranjit S. Dhaliwal |
| collection | DOAJ |
| description | The generalized thermoelasticity theory recently developed by Green and
Naghdi is employed to investigate thermoelastic interactions caused by a continuous line
heat source in a homogeneous isotropic unbounded solid. Hankel-Laplace transform
technique is used to solve the problem. Explicit expressions, for stress and temperature
fields, are obtained for small time approximation. Numerical values are displayed
graphically. Our results show that this theory predicts an infinite speed for heat
propagation in general, and includes the second sound phenomena as a special case. |
| format | Article |
| id | doaj-art-a088fd471c284c6e942666ffc092129f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a088fd471c284c6e942666ffc092129f2025-08-20T03:38:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120232333410.1155/S0161171297000434Thermoelastic waves in an infinite solid caused by a line heat sourceRanjit S. Dhaliwal0Samir R. Majumdar1Jun Wang2Department of Mathematics and Statistics, University of Calgary, Alberta, Calary T2N 1N4, CanadaDepartment of Mathematics and Statistics, University of Calgary, Alberta, Calary T2N 1N4, CanadaDepartment of Mathematics and Statistics, University of Calgary, Alberta, Calary T2N 1N4, CanadaThe generalized thermoelasticity theory recently developed by Green and Naghdi is employed to investigate thermoelastic interactions caused by a continuous line heat source in a homogeneous isotropic unbounded solid. Hankel-Laplace transform technique is used to solve the problem. Explicit expressions, for stress and temperature fields, are obtained for small time approximation. Numerical values are displayed graphically. Our results show that this theory predicts an infinite speed for heat propagation in general, and includes the second sound phenomena as a special case.http://dx.doi.org/10.1155/S0161171297000434generalized thermoelasticitythermoelastic waves. |
| spellingShingle | Ranjit S. Dhaliwal Samir R. Majumdar Jun Wang Thermoelastic waves in an infinite solid caused by a line heat source International Journal of Mathematics and Mathematical Sciences generalized thermoelasticity thermoelastic waves. |
| title | Thermoelastic waves in an infinite solid caused by a line heat source |
| title_full | Thermoelastic waves in an infinite solid caused by a line heat source |
| title_fullStr | Thermoelastic waves in an infinite solid caused by a line heat source |
| title_full_unstemmed | Thermoelastic waves in an infinite solid caused by a line heat source |
| title_short | Thermoelastic waves in an infinite solid caused by a line heat source |
| title_sort | thermoelastic waves in an infinite solid caused by a line heat source |
| topic | generalized thermoelasticity thermoelastic waves. |
| url | http://dx.doi.org/10.1155/S0161171297000434 |
| work_keys_str_mv | AT ranjitsdhaliwal thermoelasticwavesinaninfinitesolidcausedbyalineheatsource AT samirrmajumdar thermoelasticwavesinaninfinitesolidcausedbyalineheatsource AT junwang thermoelasticwavesinaninfinitesolidcausedbyalineheatsource |