Electromagnetic Field and Rotation Effects on S-waves Propagation in a Non-homogeneous Anisotropic Incompressible Medium under Initial Stress and Gravity Field

Authors

S. M. Abo-Dahab, Math. Dept., Faculty of Science, Taif University, 888, Saudi Arabia.\\ Math. Dept., Faculty of Science, South Valley University, Qena 83523, Egypt.Follow

Author Country (or Countries)

Egypt.

Abstract

In this paper, shear waves propagation in a non-homogeneous anisotropic incompressible medium under influence of the electromagnetic field, gravity field, rotation and initially stressed medium has been studied. Analytical analysis reveals that the velocity of propagation of the shear waves depends upon the direction of propagation, the anisotropy, magnetic field, rotation, gravity field, non-homogeneity of the medium, and the initial stress. The frequency equation that determines the velocity of the shear waves has been obtained. The dispersion equations have been obtained and investigated for different cases. In fact, these equations are an agreement with the corresponding classical results when the medium is isotropic. The results obtained are discussed and presented graphically. The results indicate that the effects of gravity field, initial stress, magnetic field, electric field, non-homogeneous, anisotropy and rotation are very pronounced.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100139

Recommended Citation

M. Abo-Dahab, S. (2016) "Electromagnetic Field and Rotation Effects on S-waves Propagation in a Non-homogeneous Anisotropic Incompressible Medium under Initial Stress and Gravity Field," Applied Mathematics & Information Sciences: Vol. 10: Iss. 1, Article 39.
DOI: http://dx.doi.org/10.18576/amis/100139
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss1/39