Hyperelastic tuning of one dimensional phononic band-gaps using directional stress

Demcenko, A. , Mazilu, M., Wilson, R. , Volker, A. W.F. and Cooper, J. M. (2018) Hyperelastic tuning of one dimensional phononic band-gaps using directional stress. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 65(6), pp. 1056-1061. (doi:10.1109/TUFFC.2018.2821440)

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Abstract

In this paper we show that acoustoelasticity in hyperelastic materials can be understood using the framework of non-linear wave mixing, which, when coupled with an induced static stress, leads to a change in the phase velocity of the propagating wave with no change in frequency. By performing Floquet wave eigenvalue analysis, we also show that band-gaps for periodic composites, acting as 1D phononic crystals, can be tuned using this static stress. In the presence of second order elastic nonlinearities, the phase velocity of propagating waves in the phononic structure changes, leading to observable shifts in the band-gaps. Finally, we present numerical examples as evidence that the band-gaps are tuned by both the direction of the stress and its magnitude.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Wilson, Dr Robert and Cooper, Professor Jonathan and Demcenko, Dr Andriejus and Mazilu, Dr Michael
Authors: Demcenko, A., Mazilu, M., Wilson, R., Volker, A. W.F., and Cooper, J. M.
College/School:College of Science and Engineering > School of Engineering > Biomedical Engineering
Journal Name:IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Publisher:IEEE
ISSN:0885-3010
ISSN (Online):1525-8955
Published Online:17 April 2018
Copyright Holders:Copyright © 2018 The Authors
First Published:First published in IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 65(6): 1056-1061
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
617021Advanced Diagnostics using PhononicsJonathan CooperEngineering and Physical Sciences Research Council (EPSRC)EP/K027611/1ENG - BIOMEDICAL ENGINEERING