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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| 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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| _version_ | 1832558157505757184 |
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| author | Moncef Aouadi |
| author_facet | Moncef Aouadi |
| author_sort | Moncef Aouadi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-200536ce5eaf4e3aaf2f378dd9ebdc69 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-200536ce5eaf4e3aaf2f378dd9ebdc692025-02-03T01:32:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2597625976A generalized thermoelastic diffusion problem for an infinitely long solid cylinderMoncef Aouadi0Department of Mathematics and Computer Science, Rustaq Faculty of Education, P.O. Box 10, Rustaq 329, OmanThe 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.http://dx.doi.org/10.1155/IJMMS/2006/25976 |
| spellingShingle | Moncef Aouadi A generalized thermoelastic diffusion problem for an infinitely long solid cylinder International Journal of Mathematics and Mathematical Sciences |
| title | A generalized thermoelastic diffusion problem for an infinitely
long solid cylinder |
| title_full | A generalized thermoelastic diffusion problem for an infinitely
long solid cylinder |
| title_fullStr | A generalized thermoelastic diffusion problem for an infinitely
long solid cylinder |
| title_full_unstemmed | A generalized thermoelastic diffusion problem for an infinitely
long solid cylinder |
| title_short | A generalized thermoelastic diffusion problem for an infinitely
long solid cylinder |
| title_sort | generalized thermoelastic diffusion problem for an infinitely long solid cylinder |
| url | http://dx.doi.org/10.1155/IJMMS/2006/25976 |
| work_keys_str_mv | AT moncefaouadi ageneralizedthermoelasticdiffusionproblemforaninfinitelylongsolidcylinder AT moncefaouadi generalizedthermoelasticdiffusionproblemforaninfinitelylongsolidcylinder |