Modeling the anisotropic finite-deformation viscoelastic behavior of soft fiber-reinforced composites

T. D. Nguyen, R. E. Jones, B. L. Boyce

Research output: Contribution to journalArticlepeer-review


This paper presents constitutive models for the anisotropic, finite-deformation viscoelastic behavior of soft fiber-reinforced composites. An essential assumption of the models is that both the fiber reinforcements and matrix can exhibit distinct time-dependent behavior. As such, the constitutive formulation attributes a different viscous stretch measure and free energy density to the matrix and fiber phases. Separate flow rules are specified for the matrix and the individual fiber families. The flow rules for the fiber families then are combined to give an anisotropic flow rule for the fiber phase. This is in contrast to many current inelastic models for soft fiber-reinforced composites which specify evolution equations directly at the composite level. The approach presented here allows key model parameters of the composite to be related to the properties of the matrix and fiber constituents and to the fiber arrangement. An efficient algorithm is developed for the implementation of the constitutive models in a finite-element framework, and examples are presented examining the effects of the viscoelastic behavior of the matrix and fiber phases on the time-dependent response of the composite.

Original languageEnglish (US)
Pages (from-to)8366-8389
Number of pages24
JournalInternational Journal of Solids and Structures
Issue number25-26
StatePublished - Dec 15 2007
Externally publishedYes


  • Anisotropy
  • Fiber-reinforced composites
  • Orthotropic
  • Soft composites
  • Soft tissues
  • Viscoelasticity

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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