Modelling of nonlinear wave scattering in a delaminated elastic bar

Khusnutdinova, K.R. and Tranter, M.R. ORCID: 0000-0002-6019-8819, 2015. Modelling of nonlinear wave scattering in a delaminated elastic bar. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 471 (2183): 20150584. ISSN 1364-5021

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Abstract

Integrity of layered structures, extensively used in modern industry, strongly depends on the quality of their interfaces; poor adhesion or delamination can lead to a failure of the structure. Can nonlinear waves help us to control the quality of layered structures? In this paper, we numerically model the dynamics of a long longitudinal strain solitary wave in a split, symmetric layered bar. The recently developed analytical approach, based on matching two asymptotic multiple-scales expansions and the integrability theory of the Korteweg–de Vries equation by the inverse scattering transform, is used to develop an effective semi-analytical numerical approach for these types of problems. We also employ a direct finite-difference method and compare the numerical results with each other, and with the analytical predictions. The numerical modelling confirms that delamination causes fission of an incident solitary wave and, thus, can be used to detect the defect.

Item Type: Journal article
Publication Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science
Creators: Khusnutdinova, K.R. and Tranter, M.R.
Publisher: The Royal Society
Date: 2015
Volume: 471
Number: 2183
ISSN: 1364-5021
Identifiers:
NumberType
10.1098/rspa.2015.0584DOI
26730218PubMed ID
Rights: Published 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
Depositing User: Linda Sullivan
Date Added: 28 Jun 2019 10:22
Last Modified: 28 Jun 2019 10:22
URI: http://irep.ntu.ac.uk/id/eprint/36945

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