A generalized self-consistent mechanics method for composite materials with multiphase inclusions

Y. Huang*, K. X. Hu, X. Wei, A. Chandra

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

115 Scopus citations


A generalized self-consistent method (GSCM) based on energy equivalence and an inclusion matrix-composite model is proposed that has applicability to composites with three or more phases. For a solid containing single-phase reinforcements, the present approach is equivalent to the inclusion-matrix-composite model. Both particulate-reinforced and unidirectional fiber-reinforced composites are investigated. For a multiphase composite with a phase volume fraction of c1,c2,c3, ..., it is found that the effective moduli are approximately decoupled such that Ē(c1,c2,c3, ...) / E = Ē0(c1)/E × Ē0c2/E × Ē0(c3/E × ..., where Ē0(·) is the closed-form effective moduli of the correspondin composites with single-phase reinforcements, and E is the moduli of the matrix material. Compared with experimental data and results from numerical studies, the current approach provides reasonably accurate predictions for the effective moduli of multiphase composites.

Original languageEnglish (US)
Pages (from-to)491-504
Number of pages14
JournalJournal of the Mechanics and Physics of Solids
Issue number3
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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