Effective-Medium Approach for Composite Materials Containing Conductive Sticks

1990 ◽  
Vol 195 ◽  
Author(s):  
A.K. Sarychev ◽  
Y.R. Smychkovich

There is a growing interest in composites in which conductive component has the elongated shape (sticks) because these systems can be used to describe various physical objects [1]. The main tool to investigate the systems is MC simulation. For example in papers [2-4] the percolation threshold in such systems has been explored and it was obtained that pcα r/L, where r is the radius of stick and L is it's length. In this work, we are suggest the calculation of dielectric constant and conductivity method based on effective medium approximation.

PIERS Online ◽  
2009 ◽  
Vol 5 (4) ◽  
pp. 365-368 ◽  
Author(s):  
D. M. Dolgushin ◽  
Anton P. Anzulevich ◽  
V. D. Buchelnikov ◽  
I. V. Bychkov ◽  
Dmitri V. Louzguine-Luzgin

2014 ◽  
Vol 04 (04) ◽  
pp. 1450035 ◽  
Author(s):  
Lin Zhang ◽  
Patrick Bass ◽  
Zhi-Min Dang ◽  
Z.-Y. Cheng

The equation ε eff ∝ (ϕc - ϕ)-s which shows the relationship between effective dielectric constant (εeff) and the filler concentration (φ), is widely used to determine the percolation behavior and obtain parameters, such as percolation threshold φc and the power constant s in conductor–dielectric composites (CDCs). Six different systems of CDCs were used to check the expression by fitting experimental results. It is found that the equation can fit the experimental results at any frequency. However, it is found that the fitting constants do not reflect the real percolation behavior of the composites. It is found that the dielectric constant is strongly dependent on the frequency, which is mainly due to the fact that the frequency dependence of the dielectric constant for the composites close to φc is almost independent of the matrix.


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