Multiple scattering of elastic waves in a fiber-reinforced composite
type: Item
instance of: scholarly article
title: Multiple scattering of elastic waves in a fiber-reinforced composite
zbMATH Open document ID: 0868.73025
DOI: 10.1016/0022-5096(94)90020-5
author: Ruey-Bin Yang
author: Ajit Mal
published in: Journal of the Mechanics and Physics of Solids
publication date: 1997-08-26T00:00:00Z
review text: This paper considers elastic wave propagation in fibre-reinforced composites that consist of a homogeneous, isotropic matrix medium containing long parallel, randomly distributed circular fibres having identical properties. Two particular problems are investigated. In one an \(SH\) wave propagates perpendicular to the fibres with particle motion parallel to the fibres while in the other a \(P\) or \(SV\) wave propagates perpendicular to the fibres with particle motion also perpendicular to the fibres. To allow for multiple scattering phenomena at high fibre concentrations, the authors employ a method that combines the so-called `generalized self-consistent model' together with a well used statistical averaging procedure [e.g. see \textit{P. C. Waterman} and \textit{R. Truell}, J. Math. Phys. 2, 512-537 (1961; Zbl 0108.21403)] to calculate the effective dynamic constants of the composite. Numerical results are presented for both graphite-epoxy and silicon carbide-titanium composites with the effective phase velocity and attenuation of the coherent waves being calculated for a wide range of frequencies and concentrations. Furthermore, the degree of interaction between the fibres is determined and the values for the average strain in a given inclusion obtained by both direct analysis and approximate homogenisation are compared. Unlike previous studies (e.g. loc. cit.), the method proposed by the authors recovers all the well-known effective moduli of fibre reinforced composites in the static limit and appears to give reasonable results at both higher concentrations and frequencies.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 754639
zbMATH Keywords: statistical averaging procedure
zbMATH Keywords: generalized self-consistent model
zbMATH Keywords: effective dynamic constants
zbMATH Keywords: effective phase velocity
zbMATH Keywords: approximated homogenization
zbMATH Keywords: elastic wave propagation
zbMATH Keywords: fibre-reinforced composites
reviewed by: P. J. Barratt
MaRDI profile type: Publication
full work available at URL: 0022-5096(94)90020-5
OpenAlex ID: W1986951059
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description: scientific article; zbMATH DE number 754639