A full-chain tube-based constitutive model for living linear polymers

被引：21

作者：

Peterson, J. D. ^{[1
]}

Cates, M. E. ^{[1
]}

机构：

[1] Univ Cambridge, Ctr Math Sci, Dept Appl Maths & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England

来源：

JOURNAL OF RHEOLOGY | 2020年 / 64卷 / 06期

关键词：

polymers; wormlike micelles; population balances; rheology; WORMLIKE MICELLES; MICROSCOPIC THEORY; RHEOLOGY; REPTATION; DYNAMICS; MELTS; VISCOELASTICITY; RELAXATION; EQUATION; SYSTEMS;

D O I：

10.1122/8.0000114

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present a new strategy for introducing population balances into full-chain constitutive models of living polymers with linear chain architectures. We provide equations to describe a range of stress relaxation processes covering both unentangled systems (Rouse-like motion) and well-entangled systems (reptation, contour length fluctuations, chain retraction, and constraint release). Special attention is given to the solutions that emerge when the "breaking time" of the chain becomes fast compared to various stress relaxation processes. In these "fast breaking" limits, we reproduce previously known results (with some corrections) and also present new results for nonlinear stress relaxation dynamics. Our analysis culminates with a fully developed constitutive model for the fast breaking regime in which stress relaxation is dominated by contour length fluctuations. Linear and nonlinear rheology predictions of the model are presented and discussed.

引用

页码：1465 / 1496

页数：32

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