Surface waves in hygrothermoelastic half-space with hydrostatic initial stress

Abstract

The present research article deals with the study of surface wave propagation in hygrothermoelastic medium with hydrostatic initial stress. The coupled wave equations in terms of displacement, temperature and moisture concentration are solved analytically. The values of the penetration depth of different waves are obtained and depicted graphically against frequency. To explore some interesting results, the authors have also discussed deformation in the medium caused due to a mechanical force along the free surface of hygrothermoelastic solid with hydrostatic initial stress. The components of displacement, mechanical stresses, moisture concentration and temperature distribution in the medium are obtained and presented analytically. The graphical results of the variations of these quantities are presented graphically to show the effect of hydrostatic initial stress.