On problem of shear waves in magneto-elastic half-space of initially stressed non-homogeneous anisotropic material under influence of the rotation

• The effect of the magnetic field, initial stress, rotation and non-homogeneity is investigated.
• Analytical solution for the elastodynamic equation is solved and the velocity of the shear wave have been obtained.
• The dipersion equaions have been obtained and investigated for different cases.
• Comparisons are made with the previous results in the absence of magnetic field, initial stress, rotation and non-homogeneity.
• The magnetic field and rotation are affect strongly on the shear wave propagation velocity.

In this paper, propagation of shear waves in a non-homogeneous anisotropic incompressible and initially stressed medium under the influence of magnetic field and rotation has been studied. Analytical analysis reveals that the velocity of propagation of the shear waves depends on the direction of propagation, the anisotropy, magnetic field, rotation, non-homogeneity of the medium and the initial stress. The frequency equation that determines the velocity of the shear wave has been obtained. The dipersion equaions have been investigated for different cases. The equations are in agreement with the corresponding classical results when the medium is isotropic. The results have been discussed and presented graphically.