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 journalArticle

110 Citations (Scopus)

Abstract

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
Volume42
Issue number3
DOIs
StatePublished - Jan 1 1994

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Mechanics
inclusions
composite materials
Composite materials
reinforcement
Reinforcement
matrix materials
matrices
particulates
equivalence
Volume fraction
fibers
Fibers
predictions
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "A generalized self-consistent mechanics method for composite materials with multiphase inclusions",
abstract = "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.",
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A generalized self-consistent mechanics method for composite materials with multiphase inclusions. / Huang, Y.; Hu, K. X.; Wei, X.; Chandra, A.

In: Journal of the Mechanics and Physics of Solids, Vol. 42, No. 3, 01.01.1994, p. 491-504.

Research output: Contribution to journalArticle

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AB - 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.

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