A constitutive equation for entangled linear polymers inspired by reptation theory and consistent with non-equilibrium thermodynamics
(2001) Journal of Non-Newtonian Fluid Mechanics — Vol. 101, n° 1-3, p. 95-111 (2001)
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- Abstract
- Using the single generator bracket formalism of non-equilibrium thermodynamics, we build a thermodynamically consistent constitutive equation of the differential type for linear entangled polymers. The starting point of our developments is the MGI rheological model proposed recently by Marrucci et al. [Rheol. Acta 40 (2) (2001) 98], which can be viewed as a modification of the classical Doi-Edwards reptation theory that includes convective constraint release and a modified strain measure. The proposed constitutive equation has an additional parameter which governs the dissipative part of the model. The MGI model is recovered as a particular case, but with a stress-conformation relationship which contains an additional term suggested by non-equilibrium thermodynamics. Predictions of the proposed model in steady and transient shear flows are shown to be in qualitative agreement with experimental observations. (C) 2001 Elsevier Science B.V. All rights reserved.
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Leygue, A., Beris, A., & Keunings, R. (2001). A constitutive equation for entangled linear polymers inspired by reptation theory and consistent with non-equilibrium thermodynamics. Journal of Non-Newtonian Fluid Mechanics, 101(1-3), 95-111. https://doi.org/10.1016/S0377-0257(01)00143-4 (Original work published 2001)