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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 August 2006

8 Pages

Thermal Shock Problem for One Dimensional Generalized Thermoelastic Layered Composite Material

and
1
Basic and Applied Science Department, Arab Academy of Science and Technology, Po. Box 1029, Alexandria, Egypt
2
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.

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