Authors Yaremchuk, D. ; Toshchevikov, V. ; Ilnytskyi, J. ; Saphiannikova, M.
Title Magnetic energy and a shape factor of magneto-sensitive elastomer beyond the point dipole approximation
Date 22.07.2020
Number 58732
Abstract As was found in recent experiments, carbonyl iron particles in the magneto-sensitive elastomer clusterise into column-like structures when subjected to the external field. However, the majority of the theoretical approaches, developed for the description of such systems, use the point-like dipole-dipole interparticle interactions, resulting in a single thread chain-like clustering only. This leads to the inaccuracies of the theoretical description of both mechanical and rheological properties of these materials. In the current paper we develop a formalism of the magnetizable microspheres, suggested earlier, in the way that allows inclusion into the model of the inhomogeneous magnetization of the particles. This approach corrects the expression for the interparticle interactions and, thus, enables the column-like clustering. We developed the self-consistent dipole (SCD) model, which results in the expression for the total energy of two particles written in a compact form. It is compared with the similar expression obtained earlier for two spheres using Laplace equation (LE). We found that the SCD model provides the energy contribution which mimics the dipolar terms in the expression for the energy derived via LE. We also calculate the shape factor for the magnetic energy of the macroscopic sample using generalized particle interactions, obtained earlier within the LE approach, and show that it coincides both with the result obtained for the point-like dipoles and reproduces the fundamental result of the continuum mechanics.
Publisher Journal of Magnetism and Magnetic Materials
Citation Journal of Magnetism and Magnetic Materials 513 (2020) 167069

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