Flow-induced orientation and stretching of entangled polymers

A single-mode constitutive equation is proposed which accounts, in a very simple way, for the most important feature of the molecular theory for entangled polymers based on the 'tube' concept, i.e. that the orientation of the tubes and the stretching of the chain within them relax over dif...

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Bibliographic Details
Published in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2003-04, Vol.361 (1805), p.677-688
Main Authors: Marrucci, Giuseppe, Ianniruberto, Giovanni
Format: Article
Language:English
Subjects:
Constitutive Equation
Constitutive equations
Entanglements
Fluid shear
Modeling
Models, Molecular
Models, Theoretical
Molecular Modelling
Molecular theory
Non Gaussianity
Normal Distribution
Polymers
Polymers - chemistry
Protein Conformation
Rheology
Start up firms
Stress, Mechanical
Tensors
Time Factors
Viscosity
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Summary:A single-mode constitutive equation is proposed which accounts, in a very simple way, for the most important feature of the molecular theory for entangled polymers based on the 'tube' concept, i.e. that the orientation of the tubes and the stretching of the chain within them relax over different time-scales. The much faster relaxation of stretch is essentially a Rouse process, whereas orientational relaxation takes place by a combination of several factors, including reptation, tube-length fluctuations and constraint release, both thermal and convective. The model presented here accounts for all of these mechanisms, albeit in a simplified way, with the exception of fluctuations, which cannot be dealt with in a single-mode theory. Extension to a multi-mode version should, however, be easy.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.2002.1156