Field fluctuations and macroscopic properties for nonlinear composites
type: Item
instance of: scholarly article
title: Field fluctuations and macroscopic properties for nonlinear composites
zbMATH Open document ID: 1070.74038
DOI: 10.1016/S0020-7683(03)00352-4
published in: International Journal of Solids and Structures
publication date: 2004-07-12T00:00:00Z
review text: The authors study a new version of the second-order method of \textit{P. Ponte Castañeda} [J. Mech. Phys. Solids 50, No.~4, 737--757 (2002; Zbl 1116.74412)] to estimate the effective behaviour of power-law fibrous composites with arbitrary heterogeneity contrasts subject to plane- and anti-plane strain loading conditions. Estimates of Hashin-Shtrikman type for macroscopic behaviour, along with the corresponding estimates for strain and stress fluctuations, are presented and discussed. Simple expressions for strongly nonlinear rigid-perfectly plastic limit are derived and studied in detail. The resulting predictions seem to be consistent with deformation mechanisms involving shear bands. In the fiber-reinforced case, this translates into non-reinforcement effect, and infinite strain fluctuations are predicted in the matrix.
reviewed by: Messoud Efendiev
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 74Q20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 2078474
zbMATH Keywords: nonlinear homogenization
zbMATH Keywords: second-order method
zbMATH Keywords: shear band
Wikidata QID: Q95142200
author: Martín I. Idiart
author: Pedro Ponte Castañeda
MaRDI profile type: Publication
full work available at URL: s0020-7683(03)00352-4
OpenAlex ID: W2007368716
description: scientific article; zbMATH DE number 2078474