Stoneley Waves at an Interface of Two Thermoelastic Diffusion Media Considering Green–Naghdi Models

Abstract

The present study envisages on the mathematical modeling and analysis of the dispersion relation of surface waves and in particular Stoneley wave, in a diffusion media homogeneous thermoelastic material having boundary conditions. Adoption of the harmonic method of wave analysis, non-dimensional of the derived equations of motion and boundary conditions produced by the model are also encompassed in this study. The Stoneley waves propagation at the interface between two-thermoelastic diffusion solid half spaces considering Green–Nagdhi models of thermoelasticity (type-II as well as type-III) [1, 2] is studied. The dispersion equation of Stoneley waves is derived in the compact form by using the appropriate boundary conditions. Furthermore we use the numerical methods and computations to calculate the propagation characteristics like determinant magnitude, Stoneley wave velocity and attenuation coefficient. The obtained numerical results are depicted graphically. Some special cases are also discussed. This study formulate a novel governing equation for an interface of two thermoelastic media with diffusion, the Stoneley waves significance and investigating the influence of wave number, wavelength and phase velocity. A comparison made between the previous results obtained and the present study that indicates to the strong impact for the external parameters and applicable in diverse related fields as geology, biology, engineering, and astronomy.