The propagation of Rayleigh waves in an orthotropic elastic half-space underlying an orthotropic elastic layer is analysed. The layer and the half-space are considered in finite sliding contact, for which a parameter ξ,(0 ≤ ξ ≤ 1) has been introduced to represent the sliding contact interfaces. The extreme values of ξ correspond to smooth and perfect contact interface, respectively. It was found that the general dispersion equation exhibiting finite sliding contact between the layer and the half-space depends on the sliding parameter. Frequency equations derived by Vinh et al.  and Vinh and Anh  have been recovered as particular cases of the present formulation. Numerically the effect of sliding parameter on the speed of Rayleigh wave has been examined for orthotropic half-space (Topaz) underlying an orthotropic layer (Barytes), (ii) Uniform half-space (Granite) underlying an elastic layer (Sandstone). The comparison of Rayleigh wave speed behavior corresponding to smooth sliding and perfect contact has been shown graphically.
Digital Object Identifier (DOI)
"Propagation of Rayleigh Waves in Layered Elastic Half-Space with Finite Sliding Contact,"
Applied Mathematics & Information Sciences: Vol. 14
, Article 6.
Available at: https://dc.naturalspublishing.com/amis/vol14/iss6/6