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Dipolar models of ferromagnet particles interaction in magnetorheological composites

A. M. BILLER1,* , O. V. STOLBOV1,2, YU. L. RAIKHER1,2

Affiliation

  1. Institute of Continuous Media Mechanics, Russian Academy of Sciences, Ural Branch, Perm, 614013, Russia
  2. Perm National Research Polytechnic University, Perm, 614990, Russia

Abstract

Magnetorheological (MR) suspensions and polymers are filled with microparticles of magnetically soft (magnetizable) ferromagnet or ferrite. A single filler particle under an applied field magnetizes virtually uniformly being a member of an assembly, as in a MR system, the particle, along with the external field, experiences the action of the fields induced by its neighbors. In result, the particle magnetization becomes non-uniform, and this fact strongly affects the attraction/repulsion interparticle forces. Because of that, all the dipole models, where the particles of finite size are replaced by point magnetic moments, are by definition approximate. However, they are widely in use due to their simplicity. In the present paper, in the framework of a two-particle problem we estimate the limits of applicability of the known dipole approximations of interparticle interaction and propose a new one, termed the nonlinear interacting dipole model. The advantage of the latter is that it accounts for the restrictions imposed on interparticle forces by the magnetic saturation of filler particles (e.g. iron) in real MR composites..

Keywords

Magnetic interaction, Magnetorheological suspensions, Magnetoactive polymers, Dipole models.

Submitted at: May 7, 2015
Accepted at: June 24, 2015

Citation

A. M. BILLER, O. V. STOLBOV, YU. L. RAIKHER, Dipolar models of ferromagnet particles interaction in magnetorheological composites, Journal of Optoelectronics and Advanced Materials Vol. 17, Iss. 7-8, pp. 1106-1113 (2015)