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Journal of Applied Mathematics
Volume 2014, Article ID 920198, 13 pages
Research Article

Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field

1Mathematics Department, Faculty of Science, SVU, Qena 83523, Egypt
2Mathematics Department, Faculty of Science,Taif University, P.O. Box 888, Altaif 21944, Saudi Arabia
3Mathematics Department, Faculty of Science, Cario University, Giza 12613, Egypt

Received 18 December 2013; Accepted 14 February 2014; Published 14 April 2014

Academic Editor: Bo Yu

Copyright © 2014 S. M. Abo-Dahab et al. 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.


We estimated an analytical solution of the displacement, stress, and temperature in a rotating isotropic homogeneous elastic medium hollow sphere subjected to periodic loading and magnetic field. The coupled theory of thermoelasticity is applied to determine an infinite velocity of heat propagation. The numerical calculations are carried out for the displacement, temperature, and stresses. The results obtained are displayed graphically to illustrate the effect of initial stress, rotation, and magnetic field which indicate to pronounce influence of rotation and magnetic field.