Scattering of an Ostrovsky wave packet in a delaminated waveguide

Tamber, J.S. and Tranter, M.R. ORCID: 0000-0002-6019-8819, 2022. Scattering of an Ostrovsky wave packet in a delaminated waveguide. Wave Motion, 114: 103023. ISSN 0165-2125

1591671_Tranter.pdf - Published version

Download (855kB) | Preview


We examine the scattering of an Ostrovsky wave packet, generated from a solitary wave, in a two layered waveguide with a delamination in the centre and soft (imperfect) bonding either side of the centre. The lower layer of the waveguide is assumed to be significantly denser than the upper layer, leading to a system of Boussinesq–Klein–Gordon (BKG) equations. Direct numerical modelling is difficult and so a semi-analytical approach consisting of several matched asymptotic multiple-scale expansions is used, which leads to Ostrovsky equations in soft bonded regions and Korteweg–de Vries equations in the delaminated region. The semi-analytical approach and direct numerical simulations are in good agreement with each other and theoretical estimates. The dispersion relations are used to estimate the wave speed and hence classify the length of the delamination, in addition to changes in the amplitude of the wave packet. We also show how to scale the non-dimensional results to material variables and an example for PMMA is presented. These results can provide a tool to control the integrity of layered structures.

Item Type: Journal article
Publication Title: Wave Motion
Creators: Tamber, J.S. and Tranter, M.R.
Publisher: Elsevier BV
Date: September 2022
Volume: 114
ISSN: 0165-2125
Rights: © 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (
Divisions: Schools > School of Science and Technology
Record created by: Laura Ward
Date Added: 19 Aug 2022 08:47
Last Modified: 19 Aug 2022 08:47

Actions (login required)

Edit View Edit View


Views per month over past year


Downloads per month over past year