3D micromechanics and effective moduli for brittle composites with randomly located interacting microcracks and inclusions

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An innovative 3D, statistical micromechanical framework is proposed for brittle composites with interacting microcracks and interacting inclusions based on the concept of the ensemble-volume average and pairwise interactions. To account for the effect of 3D interactions among constituents, an approximate analytical solution of a micromechanical formulation is presented to accommodate all possible first-order and second-order ensemble-volume averaged perturbations due to the existence and interactions of randomly located microcracks and inclusions. In particular, explicit analytical solutions for the interactions between penny-shaped microcracks and spherical inclusions are systematically derived. The proposed pairwise interacting and first-order micromechanical damage models are compared to illustrate the influence of constituent interactions on effective elastic-damage moduli of composites. This framework provides a viable methodology to accommodate statistical, micromechanical, and interacting aspects of randomly distributed microcracks and inclusions.
Publisher
SAGE PUBLICATIONS LTD
Issue Date
2008-09
Language
ENG
Article Type
Article
Keywords

METAL-MATRIX COMPOSITES; EFFECTIVE ELASTOPLASTIC BEHAVIOR; EFFECTIVE ELASTIC-MODULI; ALIGNED SPHEROIDAL INHOMOGENEITIES; INTERFACIAL DEBONDING MODEL; PENNY-SHAPED CRACKS; REINFORCED COMPOSITES; SPHERICAL INCLUSIONS; DAMAGE MODELS; SOLIDS

Citation

INTERNATIONAL JOURNAL OF DAMAGE MECHANICS, v.17, no.5, pp.377 - 417

ISSN
1056-7895
DOI
10.1177/1056789507077439
URI
http://hdl.handle.net/10203/7634
Appears in Collection
CE-Journal Papers(저널논문)

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