Green Lindsay Model on Propagation of Surface Waves in Magneto-Thermoelastic Materials with Voids and Initial Stress

Abstract

In this paper, the surface waves propagation in a generalized magneto-thermoelastic materials taking (Green Lindsay) model with voids and initial stress is investigated. The basic governing equations have been formulated in xz-plane and the magnetic field is considered in y-axis that acts perpendicular to the wave propagation. Lame's potential method is applied to solve the problem. The boundary conditions that the continuity of forces stresses and Maxwell's stresses components, displacement components, heat flux, temperature and volume fraction field are estimated at the interfaces between two dissimilar half-space to obtain the frequency equation of the surface waves in the medium. Some special cases with neglecting: (i) the magnetic field and initial stress, (ii) the magnetic field, initial stress and voids parameters, (iii) the magnetic field, initial stress and thermal parameters, and (iv) the magnetic field, initial stress, thermal field and voids parameters are deduced as special cases from this study.