Title Particle Oscillations Induced by an Alternating Field in a Magnetoactive Elastomer Under Conditions of Mesoscopic Magnetomechanical Hysteresis

A basic model is proposed for the mesoscopic dynamics of a magnetically active elastomer (MAE). The MAE unit cell consists of a pair of spherical linearly magnetizing particles immersed in a Kelvin-type viscoelastic elastomer. Forced oscillations of this system in a magnetic field with both constant and variable components are investigated within a specific amplitude-frequency range. In this range, the pair exhibits a distinctive behavior, which consists in a sudden transition (collapse) from a finite distance between the particles to tight contact. This phenomenon, known as bistability, is described in statics as magnetomechanical hysteresis, where deformation as a function of the applied field shows an ambiguous region. It is demonstrated that, depending on the material parameters and field characteristics, various stationary oscillation cycles are possible. In addition, increasing the frequency of the variable field component reduces hysteresis effects. The system behavior at high oscillation frequencies is described qualitatively.