This work presents a framework for collectively modeling shear viscosities of grouped polymeric materials. The viscosity model has been derived from the multi-modal White-Metzner constitutive equation. Simplification to the multi-modal viscosity has resulted in a viscosity model that controls gradual transition between two conventional viscosity models. It facilitates mathematical representation of multiple sets of viscosity data at the same time. A conventional shear viscosity function, which is common to the group, is multiplied by a material-specific function with one or two constants to form the collective viscosity model. The proposed framework has been applied to several polymeric systems such as polymers with varying molecular weight, polymer solutions with different concentrations, polymers with different filler loadings, and polymer blends with various composition ratios. It has been shown that the K- index in the proposed viscosity model and the variable in the material system such as concentration or compounding ratio can be correlated with each other to predict the viscosities of untested cases.

中文翻译：

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剪切稀化聚合物材料的集体粘度模型

这项工作提出了一个框架，用于对分组聚合材料的剪切粘度进行集体建模。粘度模型源自多模态 White-Metzner 本构方程。对多模态粘度的简化导致了控制两种常规粘度模型之间逐渐过渡的粘度模型。它有助于同时对多组粘度数据进行数学表示。该组共有的常规剪切粘度函数乘以具有一或两个常数的材料特定函数，以形成集体粘度模型。所提出的框架已应用于多种聚合物系统，例如具有不同分子量的聚合物、具有不同浓度的聚合物溶液、具有不同填料负载的聚合物、和具有各种组成比的聚合物共混物。已经表明，所提出的粘度模型中的 K 指数和材料系统中的变量（例如浓度或复合比）可以相互关联，以预测未测试案例的粘度。