Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves

W. J. Parnell; I. D. Abrahams

doi:10.1016/j.wavemoti.2006.03.003

Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves

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Abstract

The effective response of a periodic fibre reinforced material to SH wave propagation is studied using the method of asymptotic homogenization, complex variable theory and multipole expansions. The quasi-static limit of the effective properties is calculated when the wavelength is much longer than the defining lengthscale of the microstructure. The method developed allows the determination of the elastic properties in the most general (monoclinic) fibre reinforced media and the resulting expressions for the effective moduli are concise. The method is therefore both more general and provides neater closed form solutions than extant methods. Results are shown to be excellent even for very high volume fractions of fibres. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	474-498
Number of pages	24
Journal	Wave Motion
Volume	43
Issue number	6
DOIs	https://doi.org/10.1016/j.wavemoti.2006.03.003
Publication status	Published - Jun 2006

Keywords

Asymptotic homogenization
Monoclinic composites
Quasi-statics
SH waves

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10.1016/j.wavemoti.2006.03.003

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title = "Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves",

abstract = "The effective response of a periodic fibre reinforced material to SH wave propagation is studied using the method of asymptotic homogenization, complex variable theory and multipole expansions. The quasi-static limit of the effective properties is calculated when the wavelength is much longer than the defining lengthscale of the microstructure. The method developed allows the determination of the elastic properties in the most general (monoclinic) fibre reinforced media and the resulting expressions for the effective moduli are concise. The method is therefore both more general and provides neater closed form solutions than extant methods. Results are shown to be excellent even for very high volume fractions of fibres. {\textcopyright} 2006 Elsevier B.V. All rights reserved.",

keywords = "Asymptotic homogenization, Monoclinic composites, Quasi-statics, SH waves",

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

year = "2006",

month = jun,

doi = "10.1016/j.wavemoti.2006.03.003",

language = "English",

volume = "43",

pages = "474--498",

journal = "Wave Motion",

issn = "0165-2125",

publisher = "Elsevier BV",

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T1 - Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves

AU - Parnell, W. J.

AU - Abrahams, I. D.

PY - 2006/6

Y1 - 2006/6

N2 - The effective response of a periodic fibre reinforced material to SH wave propagation is studied using the method of asymptotic homogenization, complex variable theory and multipole expansions. The quasi-static limit of the effective properties is calculated when the wavelength is much longer than the defining lengthscale of the microstructure. The method developed allows the determination of the elastic properties in the most general (monoclinic) fibre reinforced media and the resulting expressions for the effective moduli are concise. The method is therefore both more general and provides neater closed form solutions than extant methods. Results are shown to be excellent even for very high volume fractions of fibres. © 2006 Elsevier B.V. All rights reserved.

AB - The effective response of a periodic fibre reinforced material to SH wave propagation is studied using the method of asymptotic homogenization, complex variable theory and multipole expansions. The quasi-static limit of the effective properties is calculated when the wavelength is much longer than the defining lengthscale of the microstructure. The method developed allows the determination of the elastic properties in the most general (monoclinic) fibre reinforced media and the resulting expressions for the effective moduli are concise. The method is therefore both more general and provides neater closed form solutions than extant methods. Results are shown to be excellent even for very high volume fractions of fibres. © 2006 Elsevier B.V. All rights reserved.

KW - Asymptotic homogenization

KW - Monoclinic composites

KW - Quasi-statics

KW - SH waves

U2 - 10.1016/j.wavemoti.2006.03.003

DO - 10.1016/j.wavemoti.2006.03.003

M3 - Article

SN - 0165-2125

VL - 43

SP - 474

EP - 498

JO - Wave Motion

JF - Wave Motion

IS - 6

ER -

Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves

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Keywords

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