The effective elastic moduli of microcracked composite materials
type: Item
instance of: scholarly article
title: The effective elastic moduli of microcracked composite materials
zbMATH Open document ID: 0817.73035
DOI: 10.1016/0020-7683(93)90224-U
author: K. Appert
published in: International Journal of Solids and Structures
publication date: 1993-09-07T00:00:00Z
review text: The authors discuss the macro-scale methods to predict the effect of microdefects on the overall macroscopic material properties of solids containing various defects and inclusions. In particular, the self- consistent mechanics method is used to evaluate the effective elastic moduli of microcracked composite materials. By this method, the interactions among matrix material, inclusions and cracks are implicitly taken into account. The elastic moduli of a solid with spherical inclusions and penny shaped microcracks embedded are estimated. The microcracks and inclusions are randomly distributed in size, orientation and location. The matrix material and inclusions are taken to be isotropic, with different elastic moduli and Poisson's ratios. The microcracked composite is isotropic. In addition, the elastic moduli of a composite material with parallel penny-shaped nonrandomly distributed cracks are studied. The microcracked composite is transversely isotropic. The effects of inclusions and microcracks on overall elastic moduli are approximately decoupled for stiff inclusions. The analytical results presented may be of some value to researchers working in the area of composite materials.
reviewed by: M. Cengiz Dökmeci
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74A60
Mathematics Subject Classification ID: 74M25
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 410214
zbMATH Keywords: macro-scale methods
zbMATH Keywords: self-consistent mechanics method
zbMATH Keywords: spherical inclusions
zbMATH Keywords: penny shaped microcracks
zbMATH Keywords: stiff inclusions
MaRDI profile type: Publication
full work available at URL: 0020-7683(93)90224-u
OpenAlex ID: W2095285084
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description: scientific article; zbMATH DE number 410214