A generalized thermoelastic diffusion problem for an infinitely
long solid cylinder

Aouadi, Moncef

doi:https://doi.org/10.1155/IJMMS/2006/25976

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 025976 | https://doi.org/10.1155/IJMMS/2006/25976

A generalized thermoelastic diffusion problem for an infinitely long solid cylinder

Moncef Aouadi¹

Received20 Jun 2005

Revised08 Jan 2006

Accepted12 Mar 2006

Published29 Aug 2006

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.

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Copyright © 2006 Hindawi Publishing Corporation. 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.

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