Applied Mathematics & Information Sciences
Abstract
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. [1] and Vinh and Anh [2] 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)
http://dx.doi.org/10.18576/amis/140606
Recommended Citation
Kaur, Navjot
(2020)
"Propagation of Rayleigh Waves in Layered Elastic Half-Space with Finite Sliding Contact,"
Applied Mathematics & Information Sciences: Vol. 14:
Iss.
6, Article 6.
DOI: http://dx.doi.org/10.18576/amis/140606
Available at:
https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/6