Geometrical-parameter bounds on the effective moduli of composites

L. V. Gibiansky, S. Torquato

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


We study bounds on the effective conductivity and elastic moduli of two-phase isotropic composites that depend on geometrical parameters that take into account up to three-point statistical information concerning the composite microstructure. We summarize existing bounds, apply a special fractional linear transformation to simplify their functional forms, and describe two approaches to improve such bounds. These approaches allow us to get new and improved geometrical-parameter bounds on the elastic moduli of two-dimensional composites. Applications of the bounds for effective-medium geometries as well as random arrays of aligned fibers in a matrix are discussed.

Original languageEnglish (US)
Pages (from-to)1587-1613
Number of pages27
JournalJournal of the Mechanics and Physics of Solids
Issue number10
StatePublished - Oct 1995

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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