Delamination detection in layered waveguides using Ostrovsky wave packets

Tamber, JS, Chappell, DJ ORCID: https://orcid.org/0000-0001-5819-0271 and Tranter, MR ORCID: https://orcid.org/0000-0002-6019-8819, 2025. Delamination detection in layered waveguides using Ostrovsky wave packets. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 481 (2307): 20240574. ISSN 1364-5021

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Abstract

We examine the scattering of Ostrovsky wave packets, generated from an incident solitary wave, in a two-layered waveguide with a delamination in the centre and soft (imperfect) bonding on either side of the centre. The layers of the waveguide are assumed to consist of different materials, and the strains are described by a system of coupled Boussinesq equations. A semi-analytical approach consisting of matched asymptotic multiple-scale expansions is applied, leading to Ostrovsky equations in soft-bonded regions and Korteweg−de Vries (KdV) equations in the delaminated region. This semi-analytical method has good agreement with direct numerical simulations, validating the approach as well as providing a significant reduction in the computation time. In the delaminated regions, Ostrovsky wave packets evolve into a train of solitary waves, which subsequently evolve into Ostrovsky wave packets in the second bonded region. Analysis of the phase shift in the wave packet, introduced from the delaminated region, allows us to predict both the position and the length of the delamination; the first time this has been achieved using nonlinear waves. These results motivate experiments to validate the theoretical results, with the aim of creating a tool to monitor the integrity of layered structures.

Item Type:	Journal article
Publication Title:	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Creators:	Tamber, J.S., Chappell, D.J. and Tranter, M.R.
Publisher:	The Royal Society
Date:	February 2025
Volume:	481
Number:	2307
ISSN:	1364-5021
Identifiers:	Number Type 10.1098/rspa.2024.0574 DOI 2380207 Other
Rights:	© The Authors. This accepted author manuscript is published and made available by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
Divisions:	Schools > School of Science and Technology
Record created by:	Melissa Cornwell
Date Added:	24 Feb 2025 10:19
Last Modified:	24 Feb 2025 10:19
URI:	https://irep.ntu.ac.uk/id/eprint/53116

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