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A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane

Wootton, Peter T; Prikazchikov, Danila; Kaplunov, Julius

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Authors

Peter T Wootton



Abstract

We derive a second-order correction to an existing leading-order model for surface waves in linear elasticity. The same hyperbolic–elliptic equation form is obtained with a correction term added to the surface boundary condition. The validity of the correction term is shown by re-examining problems which the leading-order model has been applied to previously, namely a harmonic forcing, a moving point load and a periodic array of compressional resonators.

Journal Article Type Article
Acceptance Date Dec 13, 2019
Online Publication Date Feb 24, 2020
Publication Date 2020-02
Publicly Available Date Mar 29, 2024
Journal IMA Journal of Applied Mathematics
Print ISSN 0272-4960
Publisher Oxford University Press
Peer Reviewed Peer Reviewed
Volume 85
Issue 1
Pages 113 - 131
DOI https://doi.org/10.1093/imamat/hxz037
Keywords Rayleigh waves; asymptotic; second order
Publisher URL https://academic.oup.com/imamat/article-abstract/85/1/113/5743496?redirectedFrom=fulltext

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