Elastic moduli of composites with rigid sliding inclusions

I. Jasiuk, J. Chen, M. F. Thorpe

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36 Scopus citations

Abstract

We investigate the effect of interfaces on the elastic properties of composites with randomly distributed inclusions. Initially, the solution for a single isolated sliding inclusion is obtained and this result is used in two separate effective-medium theories, the self-consistent method and the differential scheme, to predict the elastic properties of composites containing a finite volume fraction of inclusions. For simplicity, the inclusions are assumed to be rigid. In the analysis, a parameter is introduced to describe the degree of sliding at the interface. Two limiting cases are perfect bonding and pure sliding at the inclusion-matrix interface. We show that the Poisson's ratio of the composite tends towards a universal value that is independent of the material parameters of the matrix, as the number of inclusions is increased. In contrast to the perfect-bonding case, both effective-medium theories give remarkably similar results in the pure-sliding limit.

Original languageEnglish (US)
Pages (from-to)373-391
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Volume40
Issue number2
DOIs
StatePublished - 1992

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ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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