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

Andriejus Demčenko; Michael Mazilu; Rab Wilson; Arno W.F. Volker; Jonathan M. Cooper

doi:10.1109/TUFFC.2018.2821440

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

Andriejus Demčenko, Michael Mazilu, Rab Wilson, Arno W.F. Volker, Jonathan M. Cooper

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1056-1061
Number of pages	6
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	65
Issue number	6
Early online date	17 Apr 2018
DOIs	https://doi.org/10.1109/TUFFC.2018.2821440
Publication status	Published - Jun 2018

Keywords

Acoustics
Crystals
Floquet waves
Frequency control
Hyperelasticity
Non-linear ultrasound
Phononic crystals
Photonic band gap
Propagation
Stress

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10.1109/TUFFC.2018.2821440Licence: CC BY

Demcenko_2018_TUFFC_hyperelastictuning_CC
© 2018 The Author(s). This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/.
Final published version, 4.56 MBLicence: CC BY

Breaking the symmetry of momentum conservation using evanescent acoustic fields (dataset)
Mazilu, M. (Creator), Demcenko, A. (Creator), Wilson, R. (Creator), Reboud, J. (Creator) & Cooper, J. (Creator), University of Glasgow, 2018
DOI: 10.5525/gla.researchdata.689
Dataset

2 Article

Breaking the symmetry of momentum conservation using evanescent acoustic fields
Mazilu, M., Demčenko, A., Wilson, R., Reboud, J. & Cooper, J., 14 Dec 2018, In: Physical Review Letters. 121, 24, 6 p., 244301.
Research output: Contribution to journal › Article › peer-review

Open Access
File
Ultrasonic waves in uniaxially stressed multilayered and 1-D phononic structures: guided and Floquet wave analysis
Demčenko, A., Wilson, R., Cooper, J., Mazilu, M. & Volker, A., 5 Jul 2018, In: Journal of the Acoustical Society of America. 144, 1, p. 81-91 12 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File

Cite this

@article{e9e81d8258754cd0bdf5d93d05b87488,

title = "Hyperelastic tuning of one dimensional phononic band-gaps using directional stress",

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.",

keywords = "Acoustics, Crystals, Floquet waves, Frequency control, Hyperelasticity, Non-linear ultrasound, Phononic crystals, Photonic band gap, Propagation, Stress",

author = "Andriejus Dem{\v c}enko and Michael Mazilu and Rab Wilson and Volker, {Arno W.F.} and Cooper, {Jonathan M.}",

note = "JMC acknowledges EPSRC Fellowship (EP/K027611/1) and the ERC advanced investigator award (340117 - Biophononics).",

year = "2018",

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doi = "10.1109/TUFFC.2018.2821440",

language = "English",

volume = "65",

pages = "1056--1061",

journal = "IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control",

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T1 - Hyperelastic tuning of one dimensional phononic band-gaps using directional stress

AU - Demčenko, Andriejus

AU - Mazilu, Michael

AU - Wilson, Rab

AU - Volker, Arno W.F.

AU - Cooper, Jonathan M.

N1 - JMC acknowledges EPSRC Fellowship (EP/K027611/1) and the ERC advanced investigator award (340117 - Biophononics).

PY - 2018/6

Y1 - 2018/6

N2 - 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.

AB - 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.

KW - Acoustics

KW - Crystals

KW - Floquet waves

KW - Frequency control

KW - Hyperelasticity

KW - Non-linear ultrasound

KW - Phononic crystals

KW - Photonic band gap

KW - Propagation

KW - Stress

U2 - 10.1109/TUFFC.2018.2821440

DO - 10.1109/TUFFC.2018.2821440

M3 - Article

AN - SCOPUS:85045757792

SN - 0885-3010

VL - 65

SP - 1056

EP - 1061

JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

IS - 6

ER -

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

Abstract

Keywords

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Datasets

Breaking the symmetry of momentum conservation using evanescent acoustic fields (dataset)

Research output

Breaking the symmetry of momentum conservation using evanescent acoustic fields

Ultrasonic waves in uniaxially stressed multilayered and 1-D phononic structures: guided and Floquet wave analysis

Cite this