Evaluation and Development of Expanded Equations Based on Takayanagi Model for Tensile Modulus of Polymer Nanocomposites Assuming the Formation of Percolating Networks
Evaluation and Development of Expanded Equations Based on Takayanagi Model for Tensile Modulus of Polymer Nanocomposites Assuming the Formation of Percolating Networks
复制标题
基于高柳模型的聚合物纳米复合材料拉伸模量扩展方程的评估和发展（假设渗透网络的形成）
作者：
Y. Zare;Kunsoo Rhee
在这项研究中，通过发展扩展的Takayanagi模型来分析聚合物纳米复合材料的拉伸模量，该模型考虑了网络和分散的纳米颗粒在渗透阈值以上的分数。采用合适的模型计算了网络相和分散相的拉伸模量。本研究的重点是“聚合物-碳纳米管”纳米复合材料，但所建立的模型可以应用于粘土和石墨烯等长填料增强的样品。扩展的Takayanagi模型提出了两种不同的形式，并通过“聚合物-碳纳米管”纳米复合材料的实验结果进行了评价。与实验数据相比，只有一种形式显示出最好的结果，而另一种形式低估了模量。建立的模型（正确形式）表明，填料网络的含量对纳米复合材料的增强有显著的影响。通过将实验数据与所建立的模型进行比较，可以计算出与渗流阈值有关的网络水平及其他相关参数。逻辑输出证实了假设纳米颗粒在聚合物纳米复合材料中呈网状和分散的Takayanagi模型的正确发展。
In this study, the tensile modulus of polymer nanocomposites is analyzed by the development of expanded Takayanagi models considering the fractions of networked and dispersed nanoparticles above the percolation threshold. The tensile moduli of networked and dispersed phases are calculated by suitable models. This study focuses on “polymer-carbon nanotubes” nanocomposites, but the developed model can be applied for samples reinforcing with long fillers such as clay and graphene. The expanded Takayanagi model suggests two different forms which are evaluated by the experimental results of “polymer-carbon nanotubes” nanocomposites. Only one form shows the best results compared to the experimental data, whereas another form underestimates the modulus. The developed model (correct form) shows that the fraction of filler network meaningfully changes the reinforcement of nanocomposites. The network level and other correlated parameters with the percolation threshold can be calculated by comparing the experimental data with the developed model. The logical outputs confirm the correct development of Takayanagi model assuming the network and dispersion of nanoparticles in polymer nanocomposites.