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Rheological modeling of the mutual diffusion and the interphase development for an asymmetrical bilayer based on PMMA and PVDF model compatible polymers

机译:基于PMMA和PVDF模型兼容聚合物的不对称双层的相互扩散和相发展的流变模型

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摘要

The mutual diffusion process and interphase development taking place at an asymmetrical polymer-polymer interface between two compatible model polymers, poly(methyl methacrylate) (PMMA) with varying molecular weights and poly(vinylidene fluoride) (PVDF) in the molten state, were investigated by small-amplitude oscillatory shear measurements. The rheology method, Lodge-McLeish model, and test of the time-temperature superpositon (tTS) principle were employed to probe the thermorheological complexity of this polymer couple. The monomeric friction coefficient of each species in the blend has been examined to vary with composition and temperature and to be close in the present experimental conditions, and the failure of the tTS principle was demonstrated to be subtle. These were attributed to the presence of strong enthalpic interaction between PMMA and PVDF chains that couples the component dynamics. Hence, a quantitative rheological model modified from a primitive Qiu-Bousmina's model that connected the mobility in the mixed state to the properties of the matrix was proposed to determine the mutual diffusion coefficient (D_m). The modified model takes into account the rheological behavior of the interphase for the first time. In turn, viscoelastic properties and thicknesss of the interphase have been able to be quantified on the basis of the modified model. Effects of the annealing factors like welding time, angular frequency, temperature, and the structural properties as well molecular weight and Flory-Huggins parameter (χ) on the kinetics of diffusion and the interphase thickness and its viscoelastic properties were investigated. On one hand, D_m was observed to decrease with frequency until leveling off at the terimnal zone, to depend on temperature obeying the Arrhenius law, and to be nearly independent of PMMA molar mass, corroborating the prediction of the fast-mode theory. On the other hand, the generated interphase which reached dozens of micrometers was revealed to own a rheological property approaching its equivalent blend. Scanning electron microscopy coupled with energy dispersive X-ray analysis (SEM-EDX) and transmission electron microscopy(TEM) were also carried out and confronted to the rheological results. Comparisons between mathematical modeling of concentration profile based on the D_m obtained from rheology and the experimental ones of SEM-EDX and TEM were conducted. Thus, a better correlation between theory and experimental results in terms of mutual diffusion and the interphase properties was nicely attained. The obtained data are in good agreement with literatures using other spectroscopical methods.
机译:研究了两种相容的模型聚合物,分子量可变的聚甲基丙烯酸甲酯(PMMA)和熔融态聚偏二氟乙烯(PVDF)之间的不对称聚合物-聚合物界面之间的相互扩散过程和相发展。通过小振幅振荡剪切测量。采用流变学方法,Lodge-McLeish模型和时间-温度叠加(tTS)原理测试来测试该聚合物对的热流变复杂性。已经检查了共混物中每种物质的单体摩擦系数,其随组成和温度的变化而变化,并且在目前的实验条件下接近,并且证明了tTS原理的失败是微妙的。这些归因于PMMA和PVDF链之间存在强烈的焓相互作用,该相互作用耦合了组分动力学。因此,提出了从原始的丘-博斯米纳模型修改后的定量流变模型,该模型将混合态的迁移率与基质的性质联系起来,以确定相互扩散系数(D_m)。修改后的模型首次考虑了相间的流变行为。反过来,已经可以在修改的模型的基础上量化界面的粘弹性和厚度。研究了退火时间,焊接时间,角频率,温度,结构性能以及分子量和Flory-Huggins参数(χ)对扩散动力学和相间厚度及其粘弹性的影响。一方面,观察到D_m随频率降低,直到在终端区趋于稳定,这取决于温度遵循阿伦尼乌斯定律,并且几乎与PMMA摩尔质量无关,从而证实了快速模式理论的预测。另一方面,所产生的达到几十微米的界面具有接近其等效混合物的流变性质。还进行了扫描电子显微镜,能量色散X射线分析(SEM-EDX)和透射电子显微镜(TEM)的测试,并获得了流变学结果。进行了基于流变学D_m的浓度分布数学模型与SEM-EDX和TEM实验模型的比较。因此,在互扩散和相间特性方面,理论和实验结果之间取得了更好的相关性。获得的数据与使用其他光谱方法的文献非常吻合。

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