Abstract

The electrical properties of polymer nanocomposites containing a small amount of carbonnanotube (CNT) are remarkably superior to those of conventional electronic composites.Based on three-dimensional (3D) statistical percolation and 3D resistor network modeling,the electrical properties of CNT nanocomposites, at and after percolation, were successfullypredicted in this work. The numerical analysis was also extended to investigate the effectsof the aspect ratio, the electrical conductivity, the aggregation and the shape of CNTs onthe electrical properties of the nanocomposites. A simple empirical model was alsoestablished based on present numerical simulations to predict the electrical conductivity inseveral electronic composites with various fillers. This investigation further highlightedthe importance of theoretical and numerical analyses in the exploration of basicphysical phenomena, such as percolation and conductivity in novel nanocomposites.

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