Nonlinear rheology of polydisperse blends of entangled linear polymers: Rolie-Double-Poly models
Nonlinear rheology of polydisperse blends of entangled linear polymers: Rolie-Double-Poly models
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DOI：
10.1122/1.5052320
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发表时间：
2019-01-01
影响因子：
3.3
通讯作者：
Read, Daniel J.
中科院分区：
文献类型：
--
作者：
Boudara, Victor A. H.;Peterson, Joseph D.;Read, Daniel J.
虽然在单分散缠结线性聚合物的线性和非线性流变学建模方面取得了很大成功，但聚合物材料的本构建模进展仍然落后于工业需求。工业来源的聚合物通常是多分散的（包括广泛的分子量分布），使其流变学更适合于加工，但也更难以预测。到目前为止，还没有基于分子的本构模型实际上适合于描述工业相关流中的工业相关聚合物。在这篇文章中，我们扩展，但大大简化了模型的阅读等。56，823-873（2012）]，其能够预测双分散共混物的线性和非线性流变学，但对于工业用途来说过于复杂。我们提出了一对简化的管模型的多分散熔体的纠缠线性聚合物，联合收割机的成功的双爬行近似[des Cloizeaux，Europhys。Lett. 5，437-442（1988）]中的线性区域，并成功地使用了Rolie-Poly本构方程[Likhtman等人，J. Non Newtonian Fluid Mech.114，1-12（2003）]中。我们首先回顾了双蠕动近似和原始（单分散）Rolie-Poly本构模型的关键概念。随后，我们为双分散共混物的特定情况提供了我们的近似模型的细节，并表明这些模型自然地识别了约束释放和链收缩之间的耦合效应（即，所谓的“增强的拉伸松弛时间”）。最后，我们推广到一个多组分（多分散）模型，基于相同的基本原则。沿着的方式，我们还表明，我们的两个模型是定性的，在很大程度上是定量的，与实验数据的双分散和多分散的纠缠线性聚合物熔体协议。(C)2018流变学学会。
While there has been much success in modeling the linear and nonlinear rheology of monodisperse entangled linear polymers, progress in the constitutive modeling of polymeric materials continues to lag behind the needs of industry. Industrially sourced polymers are typically polydisperse (comprising a broad distribution of molecular weights), making their rheology more suitable for processing but also more difficult to predict. To date, there are no molecular-based constitutive models that are practically suitable for describing industrially relevant polymers in industrially relevant flows. In this article, we extend but strongly simplify the model of Read et al. [J. Rheol. 56, 823-873 (2012)], which is able to predict the linear and nonlinear rheology of bidisperse blends but is prohibitively complex for industrial use. We propose a pair of simplified tube models for polydisperse melts of entangled linear polymers that combine the success of the double reptation approximation [des Cloizeaux, Europhys. Lett. 5, 437-442 (1988)] in the linear regime with the success of the Rolie-Poly constitutive equation [Likhtman et al., J. Non Newtonian Fluid Mech. 114, 1-12 (2003)] in the nonlinear regime. We first review the key concepts of the double reptation approximation and the original (monodisperse) Rolie-Poly constitutive model. Subsequently, we provide the details of our approximate models for the particular case of a bidisperse blend and show that these models naturally identify the effects from couplings between constraint release and chain retraction (i.e., the so-called "enhanced stretch relaxation time"). Finally, we generalize to a multicomponent (polydisperse) model, based on the same underlying principles. Along the way, we also show that both of our models are in qualitative, and largely quantitative, agreement with experimental data for bidisperse and polydisperse melts of entangled linear polymers. (C) 2018 The Society of Rheology.