Elastoplastic constitutive relations for fiber-reinforced solids

G. deBotton, P. Ponte Castañeda

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


In this paper, we make use of a procedure for estimating the effective properties of nonlinear composite materials, proposed recently by Ponte Castañeda (1991, J. Mech. Phys. Solids 39, 45-71), to study the effective constitutive behavior of ductile, fiber-reinforced composites. Both estimates and rigorous bounds are obtained for the effective energy functions of multiple-phase, fiber composites with general ductile behaviors (in the context of deformation theory of plasticity) for the isotropic constituent phases. The resulting expressions for the energy functions may be differentiated in a straightforward manner to obtain corresponding estimates for the anisotropic effective stress-strain relations. Explicit calculations are carried out for the case of an aluminum-matrix composite reinforced with boron fibers. The results reveal some interesting features distinguishing the constitutive behavior of ductile-matrix, fiber-reinforced composites from that of linear-elastic, fiber-reinforced composites. One such feature is the strong coupling between the dilatational and distortional modes for the ductile fiber composites. Finally, comparisons are made with available experimental data.

Original languageEnglish
Pages (from-to)1865-1890
Number of pages26
JournalInternational Journal of Solids and Structures
Issue number14
StatePublished - 1 Jan 1993
Externally publishedYes

ASJC Scopus subject areas

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


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