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

Andriejus Demčenko; Rab Wilson; Jonathan Cooper; Michael Mazilu; Arno Volker

doi:10.1121/1.5044528

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

Andriejus Demčenko, Rab Wilson, Jonathan Cooper, Michael Mazilu, Arno Volker

School of Physics and Astronomy

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

Abstract

This paper shows that acoustoelasticity in one-dimensional (1D) multilayered isotropic hyperelastic materials can be understood through the analysis of elastic wave velocities as a function of applied stress. This theoretical framework is used for eigenvalue analyses in stressed elastic structures through a reformulation of the stiffness matrix method, obtaining modal solutions, as well as reflection and transmission coefficients for different multilayered configurations. Floquet wave analysis for the stressed 1D structures is supported using numerical results.

Original language	English
Pages (from-to)	81-91
Number of pages	12
Journal	Journal of the Acoustical Society of America
Volume	144
Issue number	1
DOIs	https://doi.org/10.1121/1.5044528
Publication status	Published - 5 Jul 2018

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10.1121/1.5044528Licence: CC BY

Demcenko_2018_JASA_Ultrasonic_CC
© 2018 Author(s). Open Access. All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
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title = "Ultrasonic waves in uniaxially stressed multilayered and 1-D phononic structures: guided and Floquet wave analysis",

abstract = "This paper shows that acoustoelasticity in one-dimensional (1D) multilayered isotropic hyperelastic materials can be understood through the analysis of elastic wave velocities as a function of applied stress. This theoretical framework is used for eigenvalue analyses in stressed elastic structures through a reformulation of the stiffness matrix method, obtaining modal solutions, as well as reflection and transmission coefficients for different multilayered configurations. Floquet wave analysis for the stressed 1D structures is supported using numerical results.",

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

note = "J.M.C. acknowledges EPSRC Fellowship (EP/K027611/1) and the ERC advanced investigator award (340117—Biophononics). All data created during this research are openly available from the University of Glasgow at http://dx.doi.org/10.5525/gla.researchdata.626.",

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doi = "10.1121/1.5044528",

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T1 - Ultrasonic waves in uniaxially stressed multilayered and 1-D phononic structures

T2 - guided and Floquet wave analysis

AU - Demčenko, Andriejus

AU - Wilson, Rab

AU - Cooper, Jonathan

AU - Mazilu, Michael

AU - Volker, Arno

N1 - J.M.C. acknowledges EPSRC Fellowship (EP/K027611/1) and the ERC advanced investigator award (340117—Biophononics). All data created during this research are openly available from the University of Glasgow at http://dx.doi.org/10.5525/gla.researchdata.626.

PY - 2018/7/5

Y1 - 2018/7/5

N2 - This paper shows that acoustoelasticity in one-dimensional (1D) multilayered isotropic hyperelastic materials can be understood through the analysis of elastic wave velocities as a function of applied stress. This theoretical framework is used for eigenvalue analyses in stressed elastic structures through a reformulation of the stiffness matrix method, obtaining modal solutions, as well as reflection and transmission coefficients for different multilayered configurations. Floquet wave analysis for the stressed 1D structures is supported using numerical results.

AB - This paper shows that acoustoelasticity in one-dimensional (1D) multilayered isotropic hyperelastic materials can be understood through the analysis of elastic wave velocities as a function of applied stress. This theoretical framework is used for eigenvalue analyses in stressed elastic structures through a reformulation of the stiffness matrix method, obtaining modal solutions, as well as reflection and transmission coefficients for different multilayered configurations. Floquet wave analysis for the stressed 1D structures is supported using numerical results.

UR - https://www.scopus.com/pages/publications/85049614367

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DO - 10.1121/1.5044528

M3 - Article

SN - 0001-4966

VL - 144

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JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

IS - 1

ER -

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

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