Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity

Youssef, H. M.; El-Bary, A. A.

doi:https://doi.org/10.1155/MPE/2006/87940

Mathematical Problems in Engineering

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Volume 2006 | Article ID 087940 | https://doi.org/10.1155/MPE/2006/87940

Thermal shock problem of a generalized thermoelastic layered composite material with variable thermal conductivity

H. M. Youssef¹and A. A. El-Bary²

Received30 Jan 2005

Revised09 May 2005

Accepted11 Jul 2005

Published14 Mar 2006

Abstract

The dynamic treatment of one-dimensional generalized thermoelastic problem of heat conduction is made for a layered thin plate which is exposed to a uniform thermal shock taking into account variable thermal conductivity. The basic equations are transformed by Laplace transform and solved by a direct method. The solution was applied for a plate of sandwich structure, which is thermally shocked, and is traction-free in the outer sides. The inverses of Laplace transforms are obtained numerically. The temperature, the stress, and the displacement distributions are represented graphically.

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Copyright

Copyright © 2006 H. M. Youssef and A. A. El-Bary. 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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