Abstract.

Fluctuating viscoelasticity for conformation-tensor-based models is studied at equilibrium, in simple-shear deformation, and in uniaxial extension. The models studied are the upper-convected Maxwell model, the FENE-P model with finite chain-extensibility, and the Giesekus model with anisotropic drag. Using numerical simulations, the models are compared in detail both with each other and with analytical predictions for the Maxwell model. At equilibrium, the models differ only marginally, both in terms of static and dynamic characteristics. When deformed, the average mechanical response of the Maxwell model is unaffected by the strength of thermal fluctuations, while the mechanical response of the FENE-P and Giesekus models show a slight decrease the stronger the fluctuations in simple shear, whereas the decrease in uniaxial extension is marginal. For all models, the standard deviation of the mechanical response increases with increasing strength of fluctuations, and the magnitude of the standard deviation relative to the average for given fluctuation strength generally decreases the stronger the deformation, this effect being stronger for uniaxial extension than for simple-shear deformation.

Graphical abstract

中文翻译：

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具有热波动的粘弹性模型的行为。

摘要。

在平衡，简单剪切变形和单轴延伸条件下研究了基于构象张量的模型的波动粘弹性。所研究的模型是上对流麦克斯韦模型，具有有限链可扩展性的FENE-P模型以及具有各向异性阻力的Giesekus模型。使用数值模拟，将模型彼此之间以及与Maxwell模型的分析预测进行详细比较。在平衡状态下，模型在静态和动态特性方面仅略有不同。变形时，Maxwell模型的平均机械响应不受热波动强度的影响，而FENE-P和Giesekus模型的机械响应随简单剪切波动的增加而略有减小，而单轴延伸的减小是边缘的。

图形概要