中文摘要：

以排除体积理论为基础,提出了3种碳系导电填料混杂填充聚合物共混体系的导电逾渗模型,并利用三维图和二维图对导电逾渗模型进行了描述.选用炭黑、聚团状碳纳米管和阵列碳纳米管3种导电填料,以聚碳酸酯（PC）/苯乙烯-丙烯腈共聚物（SAN）（70∶30,质量比）和PC/聚苯醚（PPO）（70∶30,质量比）2个共混体系进行研究,通过不同导电填料在单一聚合物及其共混物中逾渗值的测量,对导电逾渗模型公式的各个参数进行计算和修正.导电逾渗模型预测结果与样品实际电阻率基本吻合,证明了模型的普适性和实用价值.对于基体相不变的系列聚合物共混体系,可以通过任意一种导电填料在共混体系中的逾渗值及在基体相聚合物中的逾渗值之比得到模型公式的相关参数,从而极大地方便了模型的推广和应用.

英文摘要：

A model was proposed for predicting the electrical percolation of ternary carbon filler mixture in polymer blends based on excluded volume theory. 2D and 3D models were used to describe the percolation model. Carbon black（ CB）,tangled carbon nanotubes（ t-CNTs） and aligned carbon nanotubes（ a-CNTs） were used as carbon-type conductive fillers. Taking polycarbonate（ PC） / styrene-acrylonitrile（ SAN）（ 70 ∶ 30,mass ratio） and PC / polyphenylene oxide（ PPO）（ 70 ∶ 30,mass ratio） as the matrices,the equation developed from the percolation model is corrected by measuring the percolation thresholds of each carbon filler in polycarbonate and polymer blends. Predictions from the model match the conductivities well,proving the suitability and usefulness of the model. For those polymer blends with the same matrix polymer,the equation can be obtained by the ratio of the percolation threshold of one carbon filler in the polymer blend to that in the matrix polymer.The model can provide an important theoretical basis for structure designing and predicting the electrical properties of conductive polymer composites.