A Comparison of a nonlinear and quasilinear viscoelastic anisotropic model for fibrous tissues

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Abstract

This paper presents a nonlinear and quasilinear viscoelasticity model for the behavior of soft fibrous tissues that incorporates the effects of matrix and fiberlevel viscoelasticity. Both models treat the tissue as a composite of N fiber families in an isotropic matrix. For the nonlinear model, the anisotropic contribution of the fibers to the constitutive behavior of the tissue is developed by first defining the stress response and viscous flow response of the fiber families, then averaging by the fiber orientation. Similarly, the anisotropic contribution of the quasilinear model is developed from a hereditary integral formulation for the stress response of the fiber families. The stress relaxation response of the nonlinear and quasilinear models are compared for different applied strains. As expect, the time-dependent response of the two formulations are nearly identical for small strain, but they exhibit significant differences at large strain.

Original languageEnglish (US)
Title of host publicationIUTAM Symposium on Cellular, Molecular and Tissue Mechanics - Proceedings of the IUTAM Symposium
Pages19-29
Number of pages11
DOIs
StatePublished - 2010
EventIUTAM Symposium on Cellular, Molecular and Tissue Mechanics - Woods Hole, MA, United States
Duration: Jun 18 2008Jun 21 2008

Publication series

NameIUTAM Bookseries
Volume16
ISSN (Print)1875-3507

Conference

ConferenceIUTAM Symposium on Cellular, Molecular and Tissue Mechanics
Country/TerritoryUnited States
CityWoods Hole, MA
Period6/18/086/21/08

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Acoustics and Ultrasonics
  • Mechanical Engineering

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