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Mathematical Problems in Engineering
Volume 2006 (2006), Article ID 87940, 14 pages

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

1Faculty of Engineering, Umm Al-Qurah University, P.O. Box 5555, Saudi Arabia
2Basic and Applied Science Department, Arab Academy of Science and Technology, P.O. Box 1029, Alexandria, Egypt

Received 30 January 2005; Revised 9 May 2005; Accepted 11 July 2005

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.


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.