Simulation of the electrical percolation of carbon nanotube composites in polymethylmethacrylate matrix: two-dimensional and three-dimensional analyses using a tortuosity effect of nanofillers

Jessica P. Silva, Lailson Sousa, Harvey A. Villa- Vélez, P. H. Coelho
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Abstract

The present work aims to study the simulation of the electrical percolation of carbon nanotubes (CNTs) in polymethylmethacrylate matrix (PMMA). In order to do this, simulations were employed in two-dimensional and three-dimensional analyses through a program developed by the Monte Carlo method, supported by the excluded volume model in order to analyze the geometric tortuosity in the polymeric matrix. The percolation threshold was analyzed by different aspect ratios, volumetric fractions and conductive load geometries. In the simulations, a decrease in the percolation threshold was observed when the aspect ratio increased and the particles became more tortuous, being these characteristics the parameters to evaluate both two-dimensional and three-dimensional systems. The results show percolation threshold values of 0.625% vol and aspect ratio of 1000 for two-dimensional analyses and, 0.08% vol and aspect ratio of 250 for three-dimensional analyses, being the adequacy to the main models for electrical percolation with tortuosity effect of the nanocarriers proposed by literature.
碳纳米管复合材料在聚甲基丙烯酸甲酯基体中的电渗透模拟:利用纳米填料的扭曲效应进行二维和三维分析
本研究旨在研究碳纳米管(CNTs)在聚甲基丙烯酸甲酯(PMMA)基体中的电渗流模拟。为此,通过蒙特卡罗方法开发的程序,在排除体积模型的支持下,对二维和三维分析进行了模拟,以分析聚合物基体中的几何扭曲。通过不同的纵横比、体积分数和导电载荷几何形状来分析渗透阈值。在模拟中,观察到随着长径比的增加和颗粒变得更加弯曲,渗透阈值降低,这些特征是评估二维和三维系统的参数。结果表明,二维分析的渗透阈值为0.625%体积,宽高比为1000,三维分析的渗透阈值为0.08%体积,宽高比为250,这是文献中提出的具有纳米载体扭曲效应的电渗透主要模型的充分性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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