Constitutive equations for the Doi-Edwards model without independent alignment

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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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
Publication date2010
Volume49
Journal number6
Pages555-562
ISSN0035-4511
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 7

Keywords

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