Constitutive equations for the Doi-Edwards model without independent alignment

Ole Hassager, Rasmus Hansen

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

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
Volume49
Issue number6
Pages (from-to)555-562
ISSN0035-4511
DOIs
Publication statusPublished - 2010

Keywords

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

Fingerprint

Dive into the research topics of 'Constitutive equations for the Doi-Edwards model without independent alignment'. Together they form a unique fingerprint.

Cite this