Constitutive equations for the Doi-Edwards model without independent alignment

Ole Hassager, Rasmus Hansen

Research output: Contribution to journalJournal articleResearchpeer-review


We present two representations of the Doi-Edwards model without Independent Alignment explicitly expressed in terms of the Finger strain tensor, its inverse and its invariants. The two representations provide explicit expressions for the stress prior to and after Rouse relaxation of chain stretch, respectively. The maximum deviations from the exact representations in simple shear, biaxial extension and uniaxial extension are of order 2%. Based on these two representations, we propose a framework for Doi-Edwards models including chain stretch in the memory integral form.
Original languageEnglish
JournalRheologica Acta
Issue number6
Pages (from-to)555-562
Publication statusPublished - 2010


  • Second normal stress difference
  • Strain energy density
  • Orientation tensor
  • Constitutive equation
  • Tube model
  • Nonlinear viscoelasticity


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