A differential tube-based model for predicting the linear viscoelastic moduli of polydisperse entangled linear polymers
(2006) Journal of Non-Newtonian Fluid Mechanics — Vol. 133, n° 1, p. 28-34 (2006)
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- Authors
Bailly, Christian 
- Abstract
- We present a simple tube theory for topologically linear entangled polymers that accounts for reptation, contour-length fluctuations and thermal constraint release. This theory is based on a new differential formulation of the thermal constraint release phenomenon proposed by the authors [A.Leygue, C.Bailly, R.Keunings, A differential formulation of thermal constraint release for entangled polymers, J.Non Newtonian Fluid Mech. 128 (1) (2005) 23-28] which is extended here to account for contour-length fluctuations. We apply the theory to mono- and poly-disperse polystyrene melts and demonstrate its ability to produce quantitative predictions. Additionally, we discuss a mathematically linear approximation of our approach that preserves the structure of the model, While most quantitative tube theories for predicting linear viscoelasticity are mathematically non-linear, our approach allows one to address the linear viscoelastic response of a polydisperse entangled system with a mathematically linear theory. (c) 2005 Elsevier B.V. All rights reserved.
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Citations
Leygue, A., Bailly, C., & Keunings, R. (2006). A differential tube-based model for predicting the linear viscoelastic moduli of polydisperse entangled linear polymers. Journal of Non-Newtonian Fluid Mechanics, 133(1), 28-34. https://doi.org/10.1016/j.jnnfm.2005.10.003 (Original work published 2006)