Abstract The main purpose of this paper includes the definition of critical interfacial shear modulus (Gc) between polymer matrix and carbon nanotubes (CNT) and the investigation of its roles in the effective interphase properties and tensile modulus of polymer nanocomposites. Halpin-Tsai model is developed to determine the roles of “Gc”, interfacial shear modulus (Gi) and interphase properties in the tensile modulus of nanocomposites. The calculations of the developed model for the modulus of various samples are compared to the experimental results. Furthermore, the effects of all parameters on the tensile modulus of nanocomposites are explained to support the developed model. The original Halpin-Tsai model overestimates the tensile modulus of the samples, but the predictions of the developed model properly agree with the experimental data. The high “Gc” and poor interphase modulus cannot reinforce the nanocomposites. Also, CNT radius (R) > 15 nm considerably weaken the modulus of nanocomposites, but the modulus grows about 500% at R = 5 nm and interphase thickness (t) = 25 nm demonstrating the most important roles of these parameters in the modulus of nanocomposites.

中文翻译：

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聚合物基体和碳纳米管之间临界界面剪切模量在聚合物纳米复合材料拉伸模量中的作用

摘要 本文的主要目的包括定义聚合物基体和碳纳米管 (CNT) 之间的临界界面剪切模量 (Gc)，并研究其在聚合物纳米复合材料的有效界面性能和拉伸模量中的作用。开发 Halpin-Tsai 模型是为了确定“Gc”、界面剪切模量 (Gi) 和界面特性在纳米复合材料的拉伸模量中的作用。将开发的各种样品模量模型的计算与实验结果进行比较。此外，解释了所有参数对纳米复合材料拉伸模量的影响，以支持开发的模型。原始的 Halpin-Tsai 模型高估了样品的拉伸模量，但开发模型的预测与实验数据完全一致。高“Gc”和差的相间模量不能增强纳米复合材料。此外，碳纳米管半径 (R) > 15 nm 大大削弱了纳米复合材料的模量，但在 R = 5 nm 和界面厚度 (t) = 25 nm 时，模量增长了约 500%，表明这些参数在模量中的最重要作用纳米复合材料。