Several variations of the generalized self-consistent method for hybrid composites

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

*Corresponding author for this work

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Several medels are proposed to extend the generalized self-consistent method to hybrid composites, i.e. composites with three or more phases. These models degrade to the eigensolution approach in the generalized self-consistent method for two-phased composites. It is established that the difference in elastic moduli predicted by these models, the Mori-Tanaka method and the decoupled model, are small, and all are in reasonable agreement with available experimental data. A solid containing two extreme types of inclusions, voids and rigid particles, is also studied. For the same volume fraction of spherical voids and rigid particles, all models reveal that the weakening effect of voids and the strengthening effect of rigid particles cancel each other out so that the effective Young's modulus of the composite is almost identical to that of the matrix. Among these models, Mori-Tanaka's method and the decoupled model provide closed-form solutions. For a solid with two types of reinfircements, Mori-Tanaka's method gives the lower bounds, and the decoupled method the average estimate for the moduli.

Original languageEnglish (US)
Pages (from-to)19-27
Number of pages9
JournalComposites Science and Technology
Volume52
Issue number1
DOIs
StatePublished - Jan 1 1994

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Composite materials
Elastic moduli
Volume fraction

Keywords

  • generalized self-consistent method
  • hybrid composites

ASJC Scopus subject areas

  • Engineering(all)
  • Ceramics and Composites

Cite this

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title = "Several variations of the generalized self-consistent method for hybrid composites",
abstract = "Several medels are proposed to extend the generalized self-consistent method to hybrid composites, i.e. composites with three or more phases. These models degrade to the eigensolution approach in the generalized self-consistent method for two-phased composites. It is established that the difference in elastic moduli predicted by these models, the Mori-Tanaka method and the decoupled model, are small, and all are in reasonable agreement with available experimental data. A solid containing two extreme types of inclusions, voids and rigid particles, is also studied. For the same volume fraction of spherical voids and rigid particles, all models reveal that the weakening effect of voids and the strengthening effect of rigid particles cancel each other out so that the effective Young's modulus of the composite is almost identical to that of the matrix. Among these models, Mori-Tanaka's method and the decoupled model provide closed-form solutions. For a solid with two types of reinfircements, Mori-Tanaka's method gives the lower bounds, and the decoupled method the average estimate for the moduli.",
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Several variations of the generalized self-consistent method for hybrid composites. / Huang, Y.; Hu, K. X.; Chandra, A.

In: Composites Science and Technology, Vol. 52, No. 1, 01.01.1994, p. 19-27.

Research output: Contribution to journalArticle

TY - JOUR

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AU - Huang, Y.

AU - Hu, K. X.

AU - Chandra, A.

PY - 1994/1/1

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N2 - Several medels are proposed to extend the generalized self-consistent method to hybrid composites, i.e. composites with three or more phases. These models degrade to the eigensolution approach in the generalized self-consistent method for two-phased composites. It is established that the difference in elastic moduli predicted by these models, the Mori-Tanaka method and the decoupled model, are small, and all are in reasonable agreement with available experimental data. A solid containing two extreme types of inclusions, voids and rigid particles, is also studied. For the same volume fraction of spherical voids and rigid particles, all models reveal that the weakening effect of voids and the strengthening effect of rigid particles cancel each other out so that the effective Young's modulus of the composite is almost identical to that of the matrix. Among these models, Mori-Tanaka's method and the decoupled model provide closed-form solutions. For a solid with two types of reinfircements, Mori-Tanaka's method gives the lower bounds, and the decoupled method the average estimate for the moduli.

AB - Several medels are proposed to extend the generalized self-consistent method to hybrid composites, i.e. composites with three or more phases. These models degrade to the eigensolution approach in the generalized self-consistent method for two-phased composites. It is established that the difference in elastic moduli predicted by these models, the Mori-Tanaka method and the decoupled model, are small, and all are in reasonable agreement with available experimental data. A solid containing two extreme types of inclusions, voids and rigid particles, is also studied. For the same volume fraction of spherical voids and rigid particles, all models reveal that the weakening effect of voids and the strengthening effect of rigid particles cancel each other out so that the effective Young's modulus of the composite is almost identical to that of the matrix. Among these models, Mori-Tanaka's method and the decoupled model provide closed-form solutions. For a solid with two types of reinfircements, Mori-Tanaka's method gives the lower bounds, and the decoupled method the average estimate for the moduli.

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