Surface Wave Propagation in an Elastic Layer Lying over a Thermodiffusive Elastic Half-Space with Imperfect Boundary

Abstract

The present investigation is to study the surface wave propagation with an imperfect boundary between a homogenous isotropic thermoelastic diffusive half-space and an isotropic elastic layer of finite thickness. The secular equation for surface waves in compact form is derived after developing the mathematical model. The phase velocity and attenuation coefficient are obtained for stiffness and then deduced for normal stiffness, tangential stiffness, and welded contact. The amplitude of surface displacements, temperature change, concentration, and the specific loss of energy are computed numerically. The dispersion curves for these quantities are illustrated to depict the effect of stiffness and thermal relaxation times. Some special cases of interest are also deduced and compared with known results.