Monte Carlo Simulation Of Filled Conductive Composites

The Monte Carlo Simulation of filled conductive composites is a methodwhich makes use of the Monte Carlo method to generate randomconfigurations and average the result continuously to simulate the randomdistribution of the conductive fillers in the space. It could capture the randomdistribution of the filler model in the space directly. Compared with generalMonte Carlo method, it does not need to carry out importance samplingprocedure which simplified the calculation procedure. The fillers withirregular shape were abstracted to regular shape, like sphere and stick. Theconnection of the fillers was estimated via the calculation of the shortestdistance between the fillers, which could also be used to judge whether apercolation chain is formed.In this thesis, A Monte Carlo method was carried out and a model thatcould overlap to any extent between each other was adopted to study thepercolation threshold which varied with the shape, the size and the ratio of thefillers.What we have done were listed below，(1) For absolute stick fillers, the trends of the percolation threshold varied on filler length and aspect ratio was systematically studied.Percolation threshold decreased with the length decreased and theaspect ratio of the filler increased. Under the same aspect ratio, the fillerwith smaller size got lower percolation threshold.(2) For absolute sphere filler, the trends of the percolation threshold variedon the filler diameter were studied. The reasons of the differences of thefiller structures were analyzed.(3) For the filler mixture of sphere and stick, the trend of the percolationthreshold varied on diameter of sphere filler, the stick length and theaspect ratio of stick filler was studied. A projection of configuration wasadopted to demonstrate that it is the sphere filler that replaced the stickfiller with low efficiency that caused this phenomenon.