Eur. Phys. J. Plus (2016) 131: 358
https://doi.org/10.1140/epjp/i2016-16358-1

Regular Article

Influence of the gravitational field on a piezothermoelastic rotating medium with G-L theory

¹ Department of Mathematics, Faculty of Science, Taif University 888, Taif, Saudi Arabia
² Department of Mathematics, Faculty of Science, Zagazig University, P.O Box 44519, Zagazig, Egypt

^* e-mail: m_i_a_othman@yahoo.com

Received: 30 August 2016
Accepted: 13 September 2016
Published online: 13 October 2016

Abstract

In the present paper, two different theories (coupled theory and Green-Lindsay theory with two relaxation times) are applied to study the deformation of a generalized piezothermoelastic rotating medium under the influence of gravity. The normal mode analysis is used to obtain the expressions for the displacement components, the temperature, the stress, the stress components, the electric potential and the electric displacements. Numerical results for the field quantities are given in the physical domain and illustrated graphically. Comparisons are made with the results predicted by coupled and Green-Lindsay theories in the presence and absence of rotation as well as of gravity.