Modeling of dielectric properties of composite materials on the basis of asymptotic averaging
Yuri Dimitrienko, Alexander Sokolov, Maria Markevich · Science and Education of the Bauman MSTU · 2013
In this paper, the authors consider calculation of effective dielectric parameters of composite materials with complex three-dimensional armoring.The method of asymptotic averaging of periodic structures is used for averaging of long-term quasi-static electric fields in composites with dielectric components.Series of local electrostatic tasks were formulated with the use of periodicity cells; electrostatic variational problems were also formulated.To solve spatial local problems for composite materials with three-dimensional complex armoring, the finite element numerical method was used.In this article, the authors proposed an algorithm for computation of effective tensor of dielectric permeability of three-dimensional armored composite materials.Test computations were carried out in order to obtain distribution of the local electric field, effective dielectric characteristics of three-dimensional orthogonal armored composite materials with different inclusion volume fractions.