A unified energy approach to a class of micromechanics models for composite materials

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

*Corresponding author for this work

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

Several micromechanics models for the determination of composite moduli are investigated in this paper, including the dilute solution, self-consistent method, generalized self-consistent method, and Mori-Tanaka's method. These micromechanical models have been developed by following quite different approaches and physical interpretations. It is shown that all the micromechanics models share a common ground, the generalized Budiansky's energy-equivalence framework. The difference among the various models is shown to be the way in which the average strain of the inclusion phase is evaluated. As a bonus of this theoretical development, the asymmetry suffered in Mori-Tanaka's method can be circumvented and the applicability of the generalized self-consistent method can be extended to materials containing microcracks, multiphase inclusions, non-spherical inclusions, or non-cylindrical inclusions. The relevance to the differential method, double-inclusion model, and Hashin-Shtrikman bounds is also discussed. The application of these micromechanics models to particulate-reinforced composites and microcracked solids is reviewed and some new results are presented.

Original languageEnglish (US)
Pages (from-to)59-75
Number of pages17
JournalActa Mechanica Sinica
Volume11
Issue number1
DOIs
StatePublished - Feb 1 1995

Fingerprint

Micromechanics
Composite materials
Microcracks

Keywords

  • Mori-Tanaka's method
  • dilute solution
  • energy-equivalence framework
  • generalized self-consistent method
  • micromechanics models
  • self-consistent method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering

Cite this

Huang, Y. ; Hwang, K. C. ; Hu, K. X. ; Chandra, A. / A unified energy approach to a class of micromechanics models for composite materials. In: Acta Mechanica Sinica. 1995 ; Vol. 11, No. 1. pp. 59-75.
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A unified energy approach to a class of micromechanics models for composite materials. / Huang, Y.; Hwang, K. C.; Hu, K. X.; Chandra, A.

In: Acta Mechanica Sinica, Vol. 11, No. 1, 01.02.1995, p. 59-75.

Research output: Contribution to journalArticle

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