We construct a new theory for transient aspects of the shear rheology of entangled chain liquids. Within an established tube model constitutive equation framework, four new physical features are introduced: a tension blob scaling derivation of the interchain grip force that generates chain stretch, a force imbalance condition for the termination of affine stretch deformation, a delayed chain retraction process that after loss of grip is accelerated for fast deformations, and a distribution of tube diameters. Nonclassical predictions are made for the stress–strain curve to just beyond the overshoot, the existence of a master curve, and fractional power law scaling of the overshoot strain and stress at high shear rates, all in good agreement with experiment and simulation. Testable new predictions are made for chain stretch dynamics.

中文翻译：

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连续启动非线性剪切下纠缠聚合物液体的应力超调和链拉伸动力学物理

我们为纠缠链液体的剪切流变的瞬态方面构建了一个新理论。在已建立的管模型本构方程框架内，引入了四个新的物理特征：产生链拉伸的链间夹持力的张力斑点缩放推导，终止仿射拉伸变形的力不平衡条件，延迟的链回缩过程快速变形和管径分布会加速失去抓地力。对应力-应变曲线进行了非经典预测，使其刚好超过过冲，主曲线的存在，以及在高剪切速率下过冲应变和应力的分数幂律缩放，​​所有这些都与实验和模拟非常吻合。对链条拉伸动力学进行了可测试的新预测。