Detecting delamination via nonlinear wave scattering in a bonded elastic bar

Tamber, JS, Chappell, DJ ORCID: https://orcid.org/0000-0001-5819-0271, Poore, JC and Tranter, MR ORCID: https://orcid.org/0000-0002-6019-8819, 2023. Detecting delamination via nonlinear wave scattering in a bonded elastic bar. Nonlinear Dynamics. ISSN 0924-090X

Preview

Text 1839812_Tranter.pdf - Published version Download (1MB) | Preview

Abstract

In this paper we examine the effect of delamination on wave scattering, with the aim of creating a control measure for layered waveguides of various bonding types. Previous works have considered specific widths of solitary waves for the simulations, without analysing the effect of changing the soliton parameters. We consider two multi-layered structures: one containing delamination ‘sandwiched’ by perfect bonding and one containing delamination but ‘sandwiched’ by soft bonding. These structures are modelled by coupled Boussinesq-type equations. Matched asymptotic multiple-scale expansions lead to coupled Ostrovsky equations in soft bonded regions and Korteweg-de Vries equations in the perfectly bonded and delaminated region. We use the Inverse Scattering Transform to predict the behaviour in the delaminated regions. In both cases, numerical analysis shows that we can predict the delamination length by changes in the wave structure, and that these changes depend upon the FullWidth at Half Magnitude (FWHM) of the incident soliton. In the case of perfect bonding, we derive a theoretical prediction for the change and confirm this numerically. For the soft bonding case, we numerically identify a similar relationship using the change in amplitude. Therefore we only need to compute one curve to determine the behaviour for any incident solitary wave, creating a framework for designing measurement campaigns for rigorously testing the integrity of layered structures.

Item Type:	Journal article
Publication Title:	Nonlinear Dynamics
Creators:	Tamber, J.S., Chappell, D.J., Poore, J.C. and Tranter, M.R.
Publisher:	Springer
Date:	1 November 2023
ISSN:	0924-090X
Identifiers:	Number Type 10.1007/s11071-023-08992-9 DOI 1839812 Other
Rights:	© the author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Divisions:	Schools > School of Science and Technology
Record created by:	Jonathan Gallacher
Date Added:	29 Nov 2023 14:04
Last Modified:	29 Nov 2023 14:04
URI:	https://irep.ntu.ac.uk/id/eprint/50476

Actions (login required)

Edit View

Statistics

Views

Downloads