Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source
This paper is concerned with the transient waves created by a line heat source that suddenly starts moving with a uniform velocity inside a thermoelastic semi-infinite medium with thermal relaxation of the type of Lord and Shulman. The source moves parallel to the boundary surface which is traction-...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298000829 |
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| _version_ | 1832550019689873408 |
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| author | Sarbani Chakravorty Amitava Chakravorty |
| author_facet | Sarbani Chakravorty Amitava Chakravorty |
| author_sort | Sarbani Chakravorty |
| collection | DOAJ |
| description | This paper is concerned with the transient waves created by a line heat source that
suddenly starts moving with a uniform velocity inside a thermoelastic semi-infinite medium with thermal
relaxation of the type of Lord and Shulman. The source moves parallel to the boundary surface which is
traction-free. The problem is reduced to the solution of three differential equations, one involving the
elastic vector potential, and the other two coupled, involving the thermoelastic scalar potential and the
temperature. Using Fourier and Laplace transforms, the solution for the displacements have been
obtained in the transform domain. The displacements have been calculated on the boundary surface for
small time. |
| format | Article |
| id | doaj-art-98cca602cd7d4639855af1831be510fd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-98cca602cd7d4639855af1831be510fd2025-02-03T06:07:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121359560210.1155/S0161171298000829Transient disturbances in a relaxing thermoelastic half space due to moving internal heat sourceSarbani Chakravorty0Amitava Chakravorty1Department of Mathematics, Jadavpur University, Calcutta, 700 032, IndiaDepartment of Mathematics, Jadavpur University, Calcutta, 700 032, IndiaThis paper is concerned with the transient waves created by a line heat source that suddenly starts moving with a uniform velocity inside a thermoelastic semi-infinite medium with thermal relaxation of the type of Lord and Shulman. The source moves parallel to the boundary surface which is traction-free. The problem is reduced to the solution of three differential equations, one involving the elastic vector potential, and the other two coupled, involving the thermoelastic scalar potential and the temperature. Using Fourier and Laplace transforms, the solution for the displacements have been obtained in the transform domain. The displacements have been calculated on the boundary surface for small time.http://dx.doi.org/10.1155/S0161171298000829Thermally relaxing mediummoving sourcethermal wave. |
| spellingShingle | Sarbani Chakravorty Amitava Chakravorty Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source International Journal of Mathematics and Mathematical Sciences Thermally relaxing medium moving source thermal wave. |
| title | Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source |
| title_full | Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source |
| title_fullStr | Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source |
| title_full_unstemmed | Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source |
| title_short | Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source |
| title_sort | transient disturbances in a relaxing thermoelastic half space due to moving internal heat source |
| topic | Thermally relaxing medium moving source thermal wave. |
| url | http://dx.doi.org/10.1155/S0161171298000829 |
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