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Modelling of nonlinear wave scattering in a delaminated elastic bar
journal contribution
posted on 2015-11-17, 16:28 authored by Karima KhusnutdinovaKarima Khusnutdinova, Matt TranterIntegrity 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.
Funding
This work was supported by the Engineering and Physical Sciences Research Council (EPSRC). M.R.T. is supported by an EPSRC studentship.
History
School
- Science
Department
- Mathematical Sciences
Published in
Proceedings of the Royal Society AVolume
471Issue
2183Citation
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)Publisher
The Royal Society (© The authors)Version
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/Publication date
2015Notes
This is an Open Access article published under the Creative Commons Attribution licence (CC BY 4.0).ISSN
1364-5021eISSN
1471-2946Publisher version
Language
- en