Multiphase composites with extremal bulk modulus
type: Item
instance of: scholarly article
title: Multiphase composites with extremal bulk modulus
zbMATH Open document ID: 0989.74060
DOI: 10.1016/S0022-5096(99)00043-5
author: Leonid V. Gibiansky
author: Ole Sigmund
published in: Journal of the Mechanics and Physics of Solids
publication date: 2002-07-10T00:00:00Z
review text: The paper is devoted to the long-standing problem on bounds on effective properties of elastic composites made of isotropic phases. An analytical and a numerical study are performed to examine the ranges of effective bulk and shear moduli. For two-phase composites it is shown that the bounds are attainable, that is, there exist composites with extreme bulk and shear moduli. For multiphase composites the bounds may be or may not be attainable, depending on phase moduli and volume fractions. A numerical topology optimization procedure that solves the inverse homogenization problem is adopted and used to look for two-dimensional three-phase composites with a maximal effective bulk modulus. New types of microstructures with bulk moduli close to the bound are found numerically for the situations where the attainability conditions are not met.
Mathematics Subject Classification ID: 74Q20
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74P15
zbMATH DE Number: 1487041
zbMATH Keywords: maximal shear modulues
zbMATH Keywords: microstructure
zbMATH Keywords: bounds on effective properties
zbMATH Keywords: two-phase composites
zbMATH Keywords: multiphase composites
zbMATH Keywords: numerical topology optimization
zbMATH Keywords: inverse homogenization problem
zbMATH Keywords: two-dimensional three-phase composites
zbMATH Keywords: maximal effective bulk modulus
zbMATH Keywords: attainability conditions
reviewed by: Marco Codegone
MaRDI profile type: Publication
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Wikidata QID: Q127203079
description: scientific article; zbMATH DE number 1487041