Abstract
The problem of the Love waves in a non-homogeneous orthotropic magneto-elastic medium under changeable initial stress is investigated. The theory of magneto-elastic surface waves in an initially stressed conducting medium has firstly been deduced and then it has been employed in investigating the Love waves. Fourier transform method has been applied to find the dispersion equation. It has been shown that the velocity of Love waves lies between two quantities which are dependent on the non-homogeneities of two media. When the medium is isotropic, the initial stress, and magnetic field are absent, the dispersion equation obtained is in agreement with the corresponding classical results. The numerical results show that the initial stress, magnetic field, and non-homogeneity effect have remarkable effect on the propagation of Love waves in the elastic medium. The effect of non-homogeneity, magnetic field and the initial stress are illustrated by figures.