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Article

Thermal Shock Problem for One Dimensional Generalized Thermoelastic Layered Composite Material

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
Published: 1 August 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. 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 Thermoelasticity; Laplace Transforms; Layered Composite

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MDPI and ACS Style

El-Bary, A.A.; Youssef, H.M. Thermal Shock Problem for One Dimensional Generalized Thermoelastic Layered Composite Material. Math. Comput. Appl. 2006, 11, 103-110. https://doi.org/10.3390/mca11020103

AMA Style

El-Bary AA, Youssef HM. Thermal Shock Problem for One Dimensional Generalized Thermoelastic Layered Composite Material. Mathematical and Computational Applications. 2006; 11(2):103-110. https://doi.org/10.3390/mca11020103

Chicago/Turabian Style

El-Bary, A. A., and H. M. Youssef. 2006. "Thermal Shock Problem for One Dimensional Generalized Thermoelastic Layered Composite Material" Mathematical and Computational Applications 11, no. 2: 103-110. https://doi.org/10.3390/mca11020103

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