论文标题
基于全链管的基于生命线性聚合物的组成模型
A full-chain tube-based constitutive model for living linear polymers
论文作者
论文摘要
我们提出了一种新的策略，将人口平衡引入具有线性链体系结构的活性聚合物的全链本构模型。我们提供了方程式来描述涵盖未进入系统（Rouse样运动）和纠缠良好的系统（振兴，轮廓长度波动，链回收和约束释放）的一系列应力放松过程。与各种应力放松过程相比，当链的“破裂时间”变得快速时，请特别注意出现的解决方案。在这些“快速破裂”限制中，我们再现了先前已知的结果（有一些校正），并为非线性应力松弛动力学带来了新的结果。我们的分析最终以完全开发的构成模型为快速破裂的制度，其中应力松弛由轮廓长度波动主导。介绍和讨论了该模型的线性和非线性流变学预测。
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.
