Theoretical molecular rheology of branched polymers in simple and complex flows: The pom-pom model
Theoretical molecular rheology of branched polymers in simple and complex flows: The pom-pom model
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DOI：
10.1103/physrevlett.79.2352
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发表时间：
1997-09-22
影响因子：
8.6
通讯作者：
Larson, RG
中科院分区：
文献类型：
--
作者：
Bishko, G;McLeish, TCB;Larson, RG
采用管模型推导了一类多支化聚合物的非线性流变本构方程。分子结构可以被认为是两个q-臂星连接的聚合物“交叉杆”。动力学导致了一个新的积分微分方程，它表现出极端的应变硬化在拉伸和应变软化在剪切。通过收缩流的计算预测，长链支化的程度控制角涡的增长，与商业支化聚合物的实验一致。
The nonlinear rheological constitutive equation of a class of multiply branched polymers is derived using the tube model. The molecular architecture may be thought of as two q-arm stars connected by a polymeric ''crossbar.'' The dynamics lead to a novel integrodifferential equation which exhibits extreme strain hardening in extension and strain softening in shear. Calculations of flow through a contraction predict that the degree of long-chain branching controls the growth of corner vortices, in agreement with experiments on commercial branched polymers.