International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 25976, 15 pages

A generalized thermoelastic diffusion problem for an infinitely long solid cylinder

Moncef Aouadi

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.


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.