A generalized thermoelastic diffusion problem for an infinitely long solid cylinder

Moncef Aouadi

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-15

Abstract:

The theory of generalized thermoelastic diffusion, based on thetheory of Lord and Shulman, is used to study thethermoelastic-diffusion interactions in an infinitely long solidcylinder subjected to a thermal shock on its surface which is incontact with a permeating substance. By means of the Laplacetransform and numerical Laplace inversion the problem is solved.Numerical results predict finite speeds of propagation forthermoelastic and diffusive waves and the presence of a tensilestress region close to the cylinder surface. The problem ofgeneralized thermoelasticity has been reduced as a special case ofour problem.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:025976

DOI: 10.1155/IJMMS/2006/25976

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