International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 25976, 15 pages
doi:10.1155/IJMMS/2006/25976
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.