Bounds on the non-local effective elastic properties of composites
type: Item
instance of: scholarly article
title: Bounds on the non-local effective elastic properties of composites
zbMATH Open document ID: 0535.73004
DOI: 10.1016/0022-5096(84)90003-6
author: G. Diener
author: A. Hürrich
author: J. Weissbarth
published in: Journal of the Mechanics and Physics of Solids
publication date: 1984-01-01T00:00:00Z
review text: The bounds of the effective elastic moduli of statistically isotropic but nonhomogeneous composite material have been obtained. The trial field chosen is appropriate for cell-like structures or binary mixtures. The bounds are dispersive as they depend upon the 'wave number ḵ' of the mean field. Hashin-Shtrikman bounds for statistically homogeneous isotropic materials follow as a special case when \(k=0\). The difference here is that these bounds involve a two-point correlation function which takes into account geometry of the material.
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3850534
zbMATH Keywords: bounds of the effective elastic moduli
zbMATH Keywords: statistically isotropic
zbMATH Keywords: composite material
zbMATH Keywords: trial field
zbMATH Keywords: cell-like structures
zbMATH Keywords: binary mixtures
zbMATH Keywords: bounds are dispersive
zbMATH Keywords: Hashin-Shtrikman bounds
zbMATH Keywords: two-point correlation function
zbMATH Keywords: geometry of the material
reviewed by: F. D. Zaman
MaRDI profile type: Publication
full work available at URL: 0022-5096(84)90003-6
OpenAlex ID: W2088601743
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description: scientific article; zbMATH DE number 3850534