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Advances in Materials Science and Engineering
Volume 2016, Article ID 5821604, 9 pages
http://dx.doi.org/10.1155/2016/5821604
Research Article

Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate

Department of Mathematics, Alexandria University, Alexandria, Egypt

Received 19 February 2016; Revised 18 July 2016; Accepted 25 August 2016

Academic Editor: Santiago Garcia-Granda

Copyright © 2016 A. M. Abd El-Latief. 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.

Abstract

The fractional mathematical model of Maxwell’s equations in an electromagnetic field and the fractional generalized thermoelastic theory associated with two relaxation times are applied to a 1D problem for a thick plate. Laplace transform is used. The solution in Laplace transform domain has been obtained using a direct method and its inversion is calculated numerically using a method based on Fourier series expansion technique. Finally, the effects of the two fractional parameters (thermo and magneto) on variable fields distributions are made. Numerical results are represented graphically.