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Title: Modelling of nonlinear wave scattering in a delaminated elastic bar
Authors: Khusnutdinova, Karima R.
Tranter, Matthew R.
Keywords: Soliton
Delamination
Scattering
Issue Date: 2015
Publisher: The Royal Society (© The authors)
Citation: KHUSNUTDINOVA, K.R. and TRANTER, M., 2015. Modelling of nonlinear wave scattering in a delaminated elastic bar. Proceedings of the Royal Society A, 471 (2183)
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.
Description: This is an Open Access article published under the Creative Commons Attribution licence (CC BY 4.0).
Sponsor: This work was supported by the Engineering and Physical Sciences Research Council (EPSRC). M.R.T. is supported by an EPSRC studentship.
Version: Published
DOI: 10.1098/rspa.2015.0584
URI: https://dspace.lboro.ac.uk/2134/19501
Publisher Link: http://dx.doi.org/10.1098/rspa.2015.0584
ISSN: 1364-5021
Appears in Collections:Published Articles (Maths)

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