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

Wootton, P. T. , Kaplunov, J. and Prikazchikov, D. (2020) A second order asymptotic model for surface waves on a linearly elastic half-plane. IMA Journal of Applied Mathematics, 85(1), pp. 113-131. (doi: 10.1093/imamat/hxz037)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Wootton, Mr Peter
• Authors: Wootton, P. T., Kaplunov, J., and Prikazchikov, D.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: IMA Journal of Applied Mathematics
• Publisher: Oxford University Press
• ISSN: 0272-4960
• ISSN (Online): 1464-3634
• Published Online: 24 February 2020
• Copyright Holders: Copyright © 2020 The Authors
• First Published: First published in IMA Journal of Applied Mathematics 85(1): 113-131
• Publisher Policy: Reproduced in accordance with the publisher copyright policy