Thermal Shock Problem for One Dimensional Generalized Thermoelastic Layered Composite Material

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

doi:10.3390/mca11020103

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Article

1 August 2006

Thermal Shock Problem for One Dimensional Generalized Thermoelastic Layered Composite Material

and

Basic and Applied Science Department, Arab Academy of Science and Technology, Po. Box 1029, Alexandria, Egypt

Mathematical Department, Faculty of Education, Alexandria University, Alexandria, Egypt

Authors to whom correspondence should be addressed.

Math. Comput. Appl.2006, 11(2), 103-110;https://doi.org/10.3390/mca11020103

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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. The basic equations are transformed by Laplace transform and solved by a direct method. The solution was applied for a plate of sandwich structure. The inverses of Laplace transforms are obtained numerically. The temperature, the stress and the displacement distributions are represented in graphs, which show the coupled and the generalized cases.

Keywords:

Thermoelasticity; Laplace Transforms; Layered Composite

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