A generalized self-consistent estimate for the effective elastic moduli of fiber-reinforced composite materials with multiple transversely isotropic inclusions

X. Neil Dong, Xiaohui Zhang, Y. Young Huang, X. Edward Guo*

*Corresponding author for this work

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

The effective elastic properties of a fiber-reinforced composite material with multiple transversely isotropic inclusions are estimated by the use of a generalized self-consistent method, which considers strong interactions between the inclusion and matrix as well as among inclusions. The accuracy of this method is established by comparing to the closed-form analytic solutions by Christensen when the matrix and inclusion are isotropic. Furthermore, current predictions from the generalized self-consistent method for a composite with multiple inclusions correspond well with the numerical results from finite element analysis. The generalized self-consistent method can be particularly useful in establishing micromechanics models of natural biological composite materials such as cortical bone to examine the dependence of the elastic properties of cortical bone on its porosity.

Original languageEnglish (US)
Pages (from-to)922-940
Number of pages19
JournalInternational Journal of Mechanical Sciences
Volume47
Issue number6
DOIs
StatePublished - Jun 1 2005

Fingerprint

Fiber reinforced materials
modulus of elasticity
Elastic moduli
inclusions
composite materials
fibers
estimates
bones
Bone
elastic properties
micromechanics
Micromechanics
Composite materials
matrices
Biological materials
Porosity
porosity
Finite element method
predictions

Keywords

  • Fiber-reinforced composite material
  • Finite element analysis
  • Generalized self-consistent method
  • Micromechanics
  • Transversely isotropic

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

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title = "A generalized self-consistent estimate for the effective elastic moduli of fiber-reinforced composite materials with multiple transversely isotropic inclusions",
abstract = "The effective elastic properties of a fiber-reinforced composite material with multiple transversely isotropic inclusions are estimated by the use of a generalized self-consistent method, which considers strong interactions between the inclusion and matrix as well as among inclusions. The accuracy of this method is established by comparing to the closed-form analytic solutions by Christensen when the matrix and inclusion are isotropic. Furthermore, current predictions from the generalized self-consistent method for a composite with multiple inclusions correspond well with the numerical results from finite element analysis. The generalized self-consistent method can be particularly useful in establishing micromechanics models of natural biological composite materials such as cortical bone to examine the dependence of the elastic properties of cortical bone on its porosity.",
keywords = "Fiber-reinforced composite material, Finite element analysis, Generalized self-consistent method, Micromechanics, Transversely isotropic",
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AU - Dong, X. Neil

AU - Zhang, Xiaohui

AU - Huang, Y. Young

AU - Guo, X. Edward

PY - 2005/6/1

Y1 - 2005/6/1

N2 - The effective elastic properties of a fiber-reinforced composite material with multiple transversely isotropic inclusions are estimated by the use of a generalized self-consistent method, which considers strong interactions between the inclusion and matrix as well as among inclusions. The accuracy of this method is established by comparing to the closed-form analytic solutions by Christensen when the matrix and inclusion are isotropic. Furthermore, current predictions from the generalized self-consistent method for a composite with multiple inclusions correspond well with the numerical results from finite element analysis. The generalized self-consistent method can be particularly useful in establishing micromechanics models of natural biological composite materials such as cortical bone to examine the dependence of the elastic properties of cortical bone on its porosity.

AB - The effective elastic properties of a fiber-reinforced composite material with multiple transversely isotropic inclusions are estimated by the use of a generalized self-consistent method, which considers strong interactions between the inclusion and matrix as well as among inclusions. The accuracy of this method is established by comparing to the closed-form analytic solutions by Christensen when the matrix and inclusion are isotropic. Furthermore, current predictions from the generalized self-consistent method for a composite with multiple inclusions correspond well with the numerical results from finite element analysis. The generalized self-consistent method can be particularly useful in establishing micromechanics models of natural biological composite materials such as cortical bone to examine the dependence of the elastic properties of cortical bone on its porosity.

KW - Fiber-reinforced composite material

KW - Finite element analysis

KW - Generalized self-consistent method

KW - Micromechanics

KW - Transversely isotropic

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