聚合物熔体本构方程的轮廓变量模型
Contour-Variable Model of Constitutive Equations for Polymer Melts
摘要:
基于对流约束释放速率的修正表达式,我们提出了一个新的轮廓变量本构方程模型,其中考虑了单链的非均匀链段拉伸和非高斯链统计处理,以描述由线性聚合物链组成的缠结体系的聚合物链动力学和流变行为。数值求解了稳态剪切和稳态剪切瞬态启动情况下的本构方程。结果表明,取向和拉伸,以及管的生存概率,有很强的依赖性链轮廓变量,特别是在高剪切速率区。然而,包括在本构模型的非均匀特征有很小的修改相比,在定性和定量确定流变性能的均匀模型。
英文摘要:
Based on a modified expression of the rate of the convective constraint release, we present a new contour-variable model of constitutive equations in which the non-uniform segmental stretch and the non-Gaussian chain statistical treatment of the single chain are considered to describe the polymer chain dynamics and the rheological behavior of an entangled system composed of linear polymer chains. The constitutive equations are solved numerically in the cases of steady shear and transient start-up of steady shear. The results indicate that the orientation and stretch, as well as the tube survival probability, have strong dependence on the chain contour variable, especially in the high-shear-rate region. However, the inclusion of the non-uniform features in the constitutive models has little modification comparing with the uniform models in determining the rheological properties both qualitatively and quantitatively.
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