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Danishevs'kyy, VV, Kaplunov, JD and Rogerson, GA ORCID: https://orcid.org/0000-0003-0264-2931
(2015)
Anti-plane shear waves in a fibre-reinforced composite with a non-linear imperfect interface.
International Journal of Non-Linear Mechanics, 76.
223 -232.
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Antiplane_nonlinear_waves_ODT_revised_2.pdf - Accepted Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (269kB) | Preview |
Abstract
The propagation of non-linear elastic anti-plane shear waves in a unidirectional fibre-reinforced composite material is studied. A model of structural non-linearity is considered, for which the non-linear behaviour of the composite solid is caused by imperfect bonding at the “fibre–matrix” interface. A macroscopic wave equation accounting for the effects of non-linearity and dispersion is derived using the higher-order asymptotic homogenisation method. Explicit analytical solutions for stationary non-linear strain waves are obtained. This type of non-linearity has a crucial influence on the wave propagation mode: for soft non-linearity, localised shock (kink) waves are developed, while for hard non-linearity localised bell-shaped waves appear. Numerical results are presented and the areas of practical applicability of linear and non-linear, long- and short-wave approaches are discussed.
Item Type: | Article |
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Uncontrolled Keywords: | non-linear wave, solitary wave, composite material, imperfect bonding, asymptotic homogenisation |
Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
Divisions: | Faculty of Natural Sciences > School of Computing and Mathematics |
Related URLs: | |
Depositing User: | Symplectic |
Date Deposited: | 29 Feb 2016 16:46 |
Last Modified: | 08 May 2019 13:51 |
URI: | https://eprints.keele.ac.uk/id/eprint/1510 |
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