The Open Applied Mathematics Journal

2009, 3 : 58-65
Published online 2009 December 23. DOI: 10.2174/1874114200903010058
Publisher ID: TOAMJ-3-58

Effect of Initial Stress and Magnetic Field on Propagation of Shear Wave in Non Homogeneous Anisotropic Medium Under Gravity Field

A.M. Abd-Alla , S.R. Mahmoud and M.I.R. Helmia
Mathematics Department, J.T.C., King Abdul Aziz University, K.S.A., Suadia Arab.

ABSTRACT

In this paper, propagation of shear waves in a non-homogeneous anisotropic incompressible, magnetic field, gravity field 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, gravity field, non-homogeneity of the medium, and the initial stress. The frequency equation that determines the velocity of the shear wave 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 have been obtained are discussed and presented graphically.

Keywords:

Incompressible, initial-stress, anisotropic, shear-wave, gravity field, magnetic field.