On micro-structural effects in dielectric mixtures
نویسنده
چکیده
The paper presents numerical simulations performed on dielectric properties of two-dimensional binary composites on eleven regular space filling tessellations. First, significant contributions of different parameters, which play an important role in the electrical properties of the composite, are introduced both for designing and analyzing material mixtures. Later, influence of structural differences and intrinsic electrical properties of constituents on the composite’s over all electrical properties are investigated. The structural differences are resolved by the spectral density representation approach. At low concentrations of inclusions (concentrations lower than the percolation threshold), the spectral density functions are delta-sequences, which corresponds to the predictions of the general MaxwellGarnett mixture formula. At high concentrations of inclusions (close to the percolation threshold) systems exhibit non-Debye type dielectric dispersions, and the spectral density function differ from each other and that predicted by the Maxwell-Garnett expression. The analysis of the dielectric dispersions with an empirical formula also illustrate structural differences between the considered geometries, however, the information is not qualitative. The empirical formula can only be used to compare structures. The spectral representation on the other hand is a concrete method to characterize the structures of dielectric mixtures. Therefore, like in other spectroscopic techniques, a look-up table might be usefull to classify/characterize composite materials structure. This can be achieved by generating dielectric data for known structures as presented and emphasized in this study. Finally, the numerical technique, without any a-priori assumptions, for extracting the spectral density function is also presented.
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