A constitutive model in finite viscoelasticity with an entropy-driven material clock

A. D. Drozdov

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


A constitutive model is derived for the nonlinear viscoelastic response in polymers under isothermal loading at finite strains. The model is based on the concept of transient networks, where the rates of breakage and reformation of active chains are assumed to depend on the specific entropy. The stress-strain relations are developed for arbitrary active chains and for arbitrary rates of loss and reformation. For Gaussian chains and nonaging networks, the constitutive relations are simplified and reduced to quasi-linear Volterra equations with entropy-dependent kernels. In this case, the governing equations contain only one new adjustable parameter compared to conventional linear models in finite viscoelasticity. The constitutive model with an entropy-driven internal clock is applied to describe shear-thickening in polymeric solutions. By comparison of numerical results with experimental data, it is demonstrated that the model adequately predicts the shear-thickening phenomenon.

Original languageEnglish
Pages (from-to)45-66
Number of pages22
JournalMathematical and Computer Modelling
Issue number11
StatePublished - 1 Jun 1997


  • Constitutive equations
  • Finite strains
  • Shear-thickening phenomenon
  • Transient network models
  • Viscoelasticity

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications


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