Clausius-Mossotti-type approximation for elastic moduli of a three-dimensional, two-component composite

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Abstract

A new approach to the problem of calculating the bulk elastic moduli of two-component composites with a specified microgeometry is applied to the problem of a 3-D system of circular-cylindrical inclusions with cubic symmetry. Explicit expressions, valid at least up to and including terms of order p 2 (where p is the volume fraction of the inclusions), are obtained for the bulk compressibility and the two shear moduli. The approximation used, which is the leading order in a systematic expansion of the bulk moduli, is related to the Clausius-Mossotti approximation of electrostatics.

Original languageEnglish
Pages (from-to)932-934
Number of pages3
JournalApplied Physics Letters
Volume41
Issue number10
DOIs
StatePublished - 1982

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