The effective yield strength of fiber-reinforced composites

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9 Scopus citations

Abstract

This work is concerned with the determination of the effective properties of transversely isotropic fiber composites made up of two rigid-perfectly plastic phases in prescribed volume fractions. The phases are assumed to satisfy incompressible, isotropic yield criteria of the Mises type. To study the behavior of these composites we make use of variational principles, recently developed by Ponte Castafieda (1991, J. Mech. Phys. Solids39, 45-71), that provide a method for generating estimates for the effective properties of nonlinear composites from corresponding estimates for the effective properties of linear composites. We demonstrate that this method allows us to obtain simple expressions for the effective yield functions of rigid-perfectly plastic composites. Explicit results, corresponding to the Hashin-Shtrikman bounds, the self consistent and the generalized self consistent estimates, and the composite cylinder assemblage model are obtained for the class of rigid-perfectly plastic fiber composites. These estimates exhibit the existence of two distinct yielding modes, in agreement with corresponding experimental results.

Original languageEnglish
Pages (from-to)1743-1757
Number of pages15
JournalInternational Journal of Solids and Structures
Volume32
Issue number12
DOIs
StatePublished - 1 Jan 1995

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science (all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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