  We present the results of numerical simulation of magnetodielectric effect
(MDE) in magnetorheological elastomers (MRE) - the change of effective
permittivity of elastomer placed under the external magnetic field. The
computer model of effect is based on the assumption about the displacement of
magnetic particles inside the elastic matrix under the external magnetic field
and the formation of chain-like structures. Such displacement of metallic
particles between the planes of capacitor leads to the change of capacity,
which can be considered as a change of effective permittivity of elastomer
caused by magnetic field (magnetodielectric effect). In the literature mainly
2D approach was used to model similar effect. In this paper we present the new
approach of magnetorheological elastomers simulation - 3D-model of
magnetodielectric effect with ability to simulate systems of around 100000
particles. Within the framework of the model three types of particle size
distributions were simulated which gives an advantage over previously reported
approaches. Lognormal size distribution was shown to give better qualitative
match of the modeling and experimental results than monosized type. The
developed model resulted in perfect qualitative agreement with all experimental
data obtained earlier for Fe-based elastomers. The proposed model is useful to
study these novel functional materials, analyze the features of
magnetodielectric effect and predict the optimal composition of
magnetorheological elastomers for further profound experimental study.
