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A continuum model for flow induced crystallization in polymers

机译:聚合物中流动诱导结晶的连续模型

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In this paper, we present a new continuum framework to formulate models to study flow induced crystallization in polymers. The models are developed in a general thermo-mechanical setting and are able to incorporate the main features of the crystallization process. A consistent framework is developed to model the transition from a fluid like behavior to a solid like behavior. The anisotropy of the crystalline phase is included in the model and depends on the deformation in the melt. Particular models are generated by choosing specific forms for the internal energy, entropy and the rate of dissipation. Equations governing the evolution of the natural configurations and the rate of crystallization are obtained by maximizing the rate of dissipation. The initiation criterion, marking the onset of crystallization, arises naturally in this setting in terms of the thermodynamic functions. The model is used to simulate bi-axial extension in a polymer film that is undergoing crystallization.
机译:在本文中,我们提出了一个新的连续体框架,以建立模型以研究聚合物中的流动诱导结晶。这些模型是在一般的热机械设置下开发的,能够合并结晶过程的主要特征。开发了一个一致的框架来建模从流体样行为到实体样行为的过渡。结晶相的各向异性包括在模型中,并取决于熔体的变形。通过为内部能量,熵和耗散率选择特定形式来生成特定模型。通过使耗散率最大化,可以得到控制自然构型演化和结晶速率的方程式。在这种情况下,就热力学功能而言,自然而然地出现了引发结晶开始的起始标准。该模型用于模拟正在结晶的聚合物膜中的双轴延伸。

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