A second-order asymptotic model for Rayleigh waves on a linearly elastic half plane-Reference-Cited by-同舟云学术

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

Published:2020-02 Issue:1 Volume:85 Page:113-131
ISSN:0272-4960
Container-title:IMA Journal of Applied Mathematics
language:en
Short-container-title:

Author:

Wootton Peter T¹²,Kaplunov Julius¹³,Prikazchikov Danila¹

Affiliation:

1. School of Computing and Mathematics, Keele University, Keele, ST5 5BG, UK

2. School of Mathematics & Statistics, University of Glasgow, Glasgow, G12 8QQ, UK

3. Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan

Abstract

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.

Funder

Ministry of Education and Science of the Republic of Kazakhstan

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics

Link

http://academic.oup.com/imamat/article-pdf/85/1/113/32894884/hxz037.pdf

Reference22 articles.

1. Explicit solutions for carrier waves supporting surface waves and plate waves;Achenbach;Wave Motion,1998

2. Surface and interfacial waves of arbitrary form in isotropic elastic media;Chadwick;J. Elasticity,1976

3. Non-destructive testing of high strength concrete using spectral analysis of surface waves;Cho;NDT & E Int.,2003