Plane waves in thermoelasticity with one relaxation time
We apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half-space problems. Laplace transform is used to find the general solution. Problems concerning the ramp-type increase in boundary temperature and stress are studied in detail. E...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004136 |
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| _version_ | 1850172657816829952 |
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| author | Jun Wang Wen Dong Chang |
| author_facet | Jun Wang Wen Dong Chang |
| author_sort | Jun Wang |
| collection | DOAJ |
| description | We apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half-space problems. Laplace transform is used to find the general solution. Problems concerning the ramp-type increase in boundary temperature and stress are studied in detail. Explicit expressions for temperature and stress are obtained for small values of time, where second sound phenomena are of relevance. Numerical values of stress and temperature are calculated and displayed graphically. |
| format | Article |
| id | doaj-art-ca3dda307b6847c98f883e02af0a2ccd |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ca3dda307b6847c98f883e02af0a2ccd2025-08-20T02:20:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126422523210.1155/S0161171201004136Plane waves in thermoelasticity with one relaxation timeJun Wang0Wen Dong Chang1Department of Mathematics and Computer Science, Alabama State University, Montgomery, Alabama, USADepartment of Mathematics and Computer Science, Alabama State University, Montgomery, Alabama, USAWe apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half-space problems. Laplace transform is used to find the general solution. Problems concerning the ramp-type increase in boundary temperature and stress are studied in detail. Explicit expressions for temperature and stress are obtained for small values of time, where second sound phenomena are of relevance. Numerical values of stress and temperature are calculated and displayed graphically.http://dx.doi.org/10.1155/S0161171201004136 |
| spellingShingle | Jun Wang Wen Dong Chang Plane waves in thermoelasticity with one relaxation time International Journal of Mathematics and Mathematical Sciences |
| title | Plane waves in thermoelasticity with one relaxation time |
| title_full | Plane waves in thermoelasticity with one relaxation time |
| title_fullStr | Plane waves in thermoelasticity with one relaxation time |
| title_full_unstemmed | Plane waves in thermoelasticity with one relaxation time |
| title_short | Plane waves in thermoelasticity with one relaxation time |
| title_sort | plane waves in thermoelasticity with one relaxation time |
| url | http://dx.doi.org/10.1155/S0161171201004136 |
| work_keys_str_mv | AT junwang planewavesinthermoelasticitywithonerelaxationtime AT wendongchang planewavesinthermoelasticitywithonerelaxationtime |