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Scattering of bulk strain solitary waves in bi-layers with delamination

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conference contribution
posted on 2017-09-22, 12:54 authored by Karima KhusnutdinovaKarima Khusnutdinova, Matt Tranter
We study the scattering of longitudinal bulk strain solitary waves in delaminated bi-layers with different types of bonding. The direct numerical modelling of these problems is challenging and has natural limitations. We develop a semi-analytical approach, based on the use of several matched asymptotic multiple-scale expansions and the Integrability Theory of the Korteweg - de Vries equation by the Inverse Scattering Transform. We show that the semi-analytical approach agrees well with the direct numerical simulations and use it to study the scattering of different types of longitudinal bulk strain solitary waves in a wide range of bi-layers with delamination. In particular, we model the dynamics of a long longitudinal strain solitary wave in a symmetric perfectly bonded bi-layer with delamination. The numerical modelling confirms that delamination causes fission of an incident solitary wave and, thus, can be used to detect the defect. We then extend our approaches to the modelling of the waves in bi-layers with soft (“imperfect”) bonding, described by a system of coupled Boussinesq equations and supporting radiating solitary waves. The results may help us to control the integrity of layered structures.

Funding

M. R. Tranter is supported by an EPSRC scholar- ship

History

School

  • Science

Department

  • Mathematical Sciences

Published in

X International Conference on Structural Dynamics, EURODYN 2017

Volume

Procedia Engineering 199 (2017)

Pages

1533 - 1538 (6)

Citation

KHUSNUTDINOVA, K.R. and TRANTER, M.R., 2017. Scattering of bulk strain solitary waves in bi-layers with delamination. Procedia Engineering 199, pp. 1533-1538.

Publisher

© The Authors. Published by Elsevier

Version

  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

2017-04-29

Publication date

2017

Notes

This paper was presented at the X International Conference on Structural Dynamics, EURODYN 2017, Rome, Italy, 10-13th September. This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Licence (CC BY-NC-ND). Full details of this licence are available at: http://creativecommons.org/licenses/by-nc-nd/4.0/

ISSN

1877-7058

Language

  • en

Location

Rome, Italy

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