International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 25976, 15 pages
doi:10.1155/IJMMS/2006/25976
A generalized thermoelastic diffusion problem for an infinitely
long solid cylinder
Department of Mathematics and Computer Science, Rustaq Faculty of Education, P.O. Box 10, Rustaq 329, Oman
Received 20 June 2005; Revised 8 January 2006; Accepted 12 March 2006
Copyright © 2006 Moncef Aouadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
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.