A general hyperelastic model for incompressible fiber-reinforced elastomers

M. Agoras, O. Lopez-Pamies, P. Ponte Castañeda

Research output: Contribution to journalArticlepeer-review


This work presents a new constitutive model for the effective response of fiber-reinforced elastomers at finite strains. The matrix and fiber phases are assumed to be incompressible, isotropic, hyperelastic solids. Furthermore, the fibers are taken to be perfectly aligned and distributed randomly and isotropically in the transverse plane, leading to overall transversely isotropic behavior for the composite. The model is derived by means of the "second-order" homogenization theory, which makes use of suitably designed variational principles utilizing the idea of a "linear comparison composite." Compared to other constitutive models that have been proposed thus far for this class of materials, the present model has the distinguishing feature that it allows consideration of behaviors for the constituent phases that are more general than Neo-Hookean, while still being able to account directly for the shape, orientation, and distribution of the fibers. In addition, the proposed model has the merit that it recovers a known exact solution for the special case of incompressible Neo-Hookean phases, as well as some other known exact solutions for more general constituents under special loading conditions.

Original languageEnglish (US)
Pages (from-to)268-286
Number of pages19
JournalJournal of the Mechanics and Physics of Solids
Issue number2
StatePublished - Feb 2009
Externally publishedYes


  • Fiber-reinforced composite material
  • Finite strain
  • Homogenization
  • Polymeric material
  • Strengthening and mechanisms

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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