Kaplunov, J, Prikazchikov, DA and Sultanova, L (2019) Rayleigh-type waves on a coated elastic half-space with a clamped surface. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 377 (2156). ISSN 1364-503X

[thumbnail of Rayleigh-type waves 030619.pdf]
Rayleigh-type waves 030619.pdf - Published Version
Available under License Creative Commons Attribution.

Download (676kB) | Preview


Elastodynamics of a half-space coated by a thin soft layer with a clamped upper face is considered. The focus is on the analysis of localised waves that do not exist on a clamped homogeneous halfspace. Non-traditional effective boundary conditions along the substrate surface incorporating the effect of the coating are derived using a long-wave
high-frequency procedure. The derived conditions are implemented within the framework of the earlier developed specialised formulation for surface waves, resulting in a perturbation of the shortened equation of surface motion in the form of an
integral or pseudo-differential operator. Non-uniform asymptotic formula for the speeds of the sought for Rayleigh-type waves, failing near zero frequency and the thickness resonances of a layer with both clamped faces, follow from the aforementioned perturbed equation. Asymptotic results are compared with the numerical solutions of the full dispersion relation for a clamped coated half-space. A similarity with Love-type waves proves to be useful for interpreting numerical data.

Item Type: Article
Additional Information: This is the final published version of the article (version of record). It first appeared online via The Royal Society at http://doi.org/10.1098/rsta.2019.0111 - Please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: Rayleigh wave, thin coating, contrast, clamped surface, asymptotic
Subjects: Q Science > QC Physics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 08 Jul 2019 15:05
Last Modified: 03 Mar 2021 11:39
URI: https://eprints.keele.ac.uk/id/eprint/6567

Actions (login required)

View Item
View Item