摘要
介绍了用碳纳米管与炭黑(或石墨)混合填充的聚合物复合材料的导电特性;阐述了混合填充聚合物体系的导电机理;介绍了基于线性混合规则和已占体积理论的渗流阈值的计算模型;分析了模型计算值与实验值的差异。利用已占体积理论,重新推导了混合填充体系渗流阈值的计算公式,并与文献公式做了比较。新公式表明:混合填充聚合物复合材料的渗流阈值是两种组分单独填充时的渗流阈值的加权平均值;碳纳米管和炭黑颗粒在混合填充体系中的排列方式与两者单独填充时的排列方式不同,导致文献公式的计算值与实验值存在差异。对此提出了"移走长度等量代换"的思路,并在此思路下导出了一种混合填充聚合物复合材料渗流阈值的计算模型,模型的计算值与实验值可以较好吻合。
Conductive properties of polymer composites filled with two kinds of carbon materials（carbon nanotubes and carbon black or graphite） are introduced and the conductive mechanism is expounded.The calculating model of electrical percolation threshold based on linear blending rule and excluded volume theory are separately given and the difference between calculating values and experimental data is discussed.Using the excluded volume theory,a calculating model of percolation threshold of polymer filled with two kinds of carbon materials is derived and compared with that given in a reference.The newly-derived model indicates that the percolation threshold of polymer filled with two kinds of fillers is a weighted average value of those filled with one kind of filler and the arrangement pattern of carbon nanotubes and carbon black particles in the mixed-fillers filled polymer is different from that of carbon nanotubes or carbon black particles filled alone and this difference in arrangement causes the difference between calculating values and experimental data.A train of thought,＂equivalent substitution of length of removed carbon nanotubes by carbon black particles＂,is proposed,from which a new calculating model of percolation threshold of polymer filled with two kinds of carbon material is derived.The calculating values are consistent with experimental data.
出处
《功能高分子学报》
CAS
CSCD
北大核心
2011年第3期248-255,共8页
Journal of Functional Polymers
关键词
碳纳米管
炭黑
聚合物
导电特性
渗流阈值
carbon nanotubes
carbon black
polymer
conductivity
percolation threshold
