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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000829 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |