27 April 2011 Unit cell models of conductive particle composites for numerical and analytical calculation of percolation threshold
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Abstract
Percolation threshold (PT) phenomena, existing in filler filled systems, play a central role in the insulator-to-conductor transition of electrical properties. While PT problem is important for mathematical-physical search, it also contributes to the sharp transition of other properties. In works published in previous researches in this issue, all PT problems were investigated the role in the transition of properties from experiential profile. In this paper, a mathematical model is developed to study the percolation of composites filled with randomly oriented particles. Special emphasis is given to found the dependence of the PT on unit cells (UCs) partition. Moreover, developed model agrees quite well with the experimental results and is expected being applicable to predict PT of composites using the motion coefficient as a fitting parameter. An important advance to the subject matter is done to study the dependence of anisotropic electrical properties on UCs partition with motion coefficient.
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Haibao Lu, Ruirui Zhang, Jinying Yin, Xin Lan, "Unit cell models of conductive particle composites for numerical and analytical calculation of percolation threshold", Proc. SPIE 7979, Industrial and Commercial Applications of Smart Structures Technologies 2011, 79790M (27 April 2011); doi: 10.1117/12.880681; https://doi.org/10.1117/12.880681
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