The effective wavenumber of a pre-stressed nonlinear microvoided composite

W. J. Parnell; I. D. Abrahams

doi:10.1088/1742-6596/269/1/012007

The effective wavenumber of a pre-stressed nonlinear microvoided composite

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Abstract

By using nonlinear elasticity and a modified version of classical multiple scattering theory we derive an explicit form for the effective wavenumber for horizontally polarized shear (SH) elastic waves propagating through a pre-stressed inhomogeneous material consisting of well-separated cylindrical voids embedded in a neo-Hookean rubber host phase. The resulting effective (incremental) antiplane shear modulus is thus also derived. © Published under licence by IOP Publishing Ltd.

Original language	English
Article number	012007
Journal	Journal of Physics: Conference Series
Volume	269
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/269/1/012007
Publication status	Published - 2011

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10.1088/1742-6596/269/1/012007

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title = "The effective wavenumber of a pre-stressed nonlinear microvoided composite",

abstract = "By using nonlinear elasticity and a modified version of classical multiple scattering theory we derive an explicit form for the effective wavenumber for horizontally polarized shear (SH) elastic waves propagating through a pre-stressed inhomogeneous material consisting of well-separated cylindrical voids embedded in a neo-Hookean rubber host phase. The resulting effective (incremental) antiplane shear modulus is thus also derived. {\textcopyright} Published under licence by IOP Publishing Ltd.",

author = "Parnell, {W. J.} and Abrahams, {I. D.}",

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AU - Abrahams, I. D.

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AB - By using nonlinear elasticity and a modified version of classical multiple scattering theory we derive an explicit form for the effective wavenumber for horizontally polarized shear (SH) elastic waves propagating through a pre-stressed inhomogeneous material consisting of well-separated cylindrical voids embedded in a neo-Hookean rubber host phase. The resulting effective (incremental) antiplane shear modulus is thus also derived. © Published under licence by IOP Publishing Ltd.

U2 - 10.1088/1742-6596/269/1/012007

DO - 10.1088/1742-6596/269/1/012007

M3 - Article

SN - 1742-6596

VL - 269

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012007

ER -

The effective wavenumber of a pre-stressed nonlinear microvoided composite

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