Neo-Hookean fiber-reinforced composites in finite elasticity

G. DeBotton, I. Hariton, E. A. Socolsky

Research output: Contribution to journalArticlepeer-review

105 Scopus citations

Abstract

The response of a transversely isotropic fiber-reinforced composite made out of two incompressible neo-Hookean phases undergoing finite deformations is considered. An expression for the effective energy-density function of the composite in terms of the properties of the phases and their spatial distribution is developed. For the out-of-plane shear and extension modes this expression is based on an exact solution for the class of composite cylinder assemblages. To account for the in-plane shear mode we incorporate an exact result that was recently obtained for a special class of transversely isotropic composites. In the limit of small deformation elasticity the expression for the effective behavior agrees with the well-known Hashin-Shtrikman bounds. The predictions of the proposed constitutive model are compared with corresponding numerical simulation of a composite with a hexagonal unit cell. It is demonstrated that the proposed model accurately captures the overall response of the periodic composite under any general loading modes.

Original languageEnglish
Pages (from-to)533-559
Number of pages27
JournalJournal of the Mechanics and Physics of Solids
Volume54
Issue number3
DOIs
StatePublished - 1 Mar 2006

Keywords

  • Constitutive law
  • Effective properties
  • Fiber-reinforced composites
  • Finite elasticity
  • Hyperelastic composites
  • Micromechanics
  • Nonlinear composites

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