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Development and validation of a recoverable strain-based model for flow-induced crystallization of polymers

机译:聚合物流致结晶的可恢复基于应变的模型的开发和验证

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摘要

A model for the description of the combined process of quiescent and flow-induced crystallization of polymers is presented. The model allows to predict in detail the spatial distribution of the crystalline structure in semi-crystalline products. Based on this structure, the final mechanical properties, shape and dimension stability of those products can be modeled. For quiscent crystallization kinetics we use the Schneider rate equations.([1]) For flow-induced crystallization we have modified the Eder rate equations.([2]) Where Eder used the shear tate as the driving force for flow-induced nucleation and crystallization, the modification proposed here adds a viscoelastic equation to account for molecular orientation, in particular that of the high-end tail of the molecular weight distribution This is expressed in terms of the elastic Finger tensor with the highest relaxation time. The second invariant of this tensor, equivalent to the order parameter for a nematic phase, is used as the driving force for flow-induced nucleation and crystallization and, consequently, a coupling between rheology and structure formation is obtained. [References: 35]
机译:提出了用于描述聚合物的静态和流动诱导结晶的组合过程的模型。该模型允许详细预测半结晶产品中晶体结构的空间分布。基于这种结构,可以对这些产品的最终机械性能,形状和尺寸稳定性进行建模。对于静态结晶动力学,我们使用Schneider速率方程。[[1])对于流致结晶,我们修改了Eder速率方程。[[2]]其中,Eder使用剪切速率作为流致成核的驱动力。结晶,这里提出的修改添加了一个粘弹性方程来说明分子取向,特别是分子量分布的高端尾巴的取向。这以具有最长弛豫时间的弹性手指张量表示。该张量的第二个不变量等于向列相的阶次参数,用作流致成核和结晶的驱动力,因此,获得了流变性和结构形成之间的耦合。 [参考:35]

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