A generalized thermoelastic diffusion problem for an infinitely long solid cylinder
The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on its surface which is in contact with a permeating substance. By means of the Lapl...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/25976 |
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| Summary: | The theory of generalized thermoelastic diffusion, based on the
theory of Lord and Shulman, is used to study the
thermoelastic-diffusion interactions in an infinitely long solid
cylinder subjected to a thermal shock on its surface which is in
contact with a permeating substance. By means of the Laplace
transform and numerical Laplace inversion the problem is solved.
Numerical results predict finite speeds of propagation for
thermoelastic and diffusive waves and the presence of a tensile
stress region close to the cylinder surface. The problem of
generalized thermoelasticity has been reduced as a special case of
our problem. |
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| ISSN: | 0161-1712 1687-0425 |