Wave propagation at the imperfect boundary between transversely isotropic thermodiffusive elastic layer and half-space

Abstract

The aim of the present investigation is to study surface wave propagation at the imperfect boundary between two transversely isotropic thermodiffusive elastic objects: a layer of finite thickness and a half-space, in the context of the Green–Lindsay theory. The secular equation for surface waves in a compact form is derived after the mathematical model has been developed. The phase velocity and attenuation coefficient are obtained for stiffness (normal and tangential), thermal conductance, and for the case of a welded contact. The dispersion curves for these quantities are presented to depict the effect of stiffness and thermal relaxation times. The amplitudes of displacements, temperature, and concentration at the free plane boundary, as well as the specific loss of energy, are obtained and presented graphically. The special cases are considered and the results are compared with the known ones.