Analysis of three dimensional Rayleigh-type waves in a layered structure

Abstract

The present article aims to explore three dimensional Rayleigh-type waves in a layered structure composed of transversely isotropic material. The technique of potential function is utilized to solve the problem. With the aid of appropriate boundary conditions, a dispersion relation (illustrating variation of velocity with frequency) is established for the three dimensional Rayleigh-type waves which depends on the elastic constants. It is worth mentioning that the deduced results are found to be in well agreement with the pre-established and the classical results. Moreover, the obtained results are computed numerically and are illustrated graphically for distinct models. The study further computes the phase velocity of Rayleigh-type waves for the distinct models. The outcomes of the present study provide a better insight into numerous engineering and mechanics problems for various purposes. More specifically, understanding the dispersive nature of Rayleigh waves in three dimensions further help in non-destructive testing, structural health monitoring, exploration of oil, fuels and minerals, and delineating soil properties for geotechnical studies. Hence provides sufficient motivation for exploring the same in similar kinds of structures.