View the article online for updates and enhancements. Abstract. A pair of magnetizable solid particles embedded in a cylinder made of highelasticity material is considered as a model of a mesoscopic structure element of a magnetorheological elastomer. An applied magnetic field induces ponderomotive interaction of the particles making them to move relative to one another so as to balance the counteracting magnetic and elastic forces. In a certain parameter range, the system exhibits bistability due to which under the increase / decrease of the field, the interparticle distance changes in a hysteretic manner. This behavior has a significant effect on the ability of the mesoscopic element to resist external load. Using the developed two-particle model prone to the magnetomechanical hysteresis, we extend it to the case of a virtually macroscopic sample presenting the latter as a superposition of such elements with distributed interparticle distances. In spite of its simplicity, this scheme in a generally correct way describes the field-induced changes of the internal structure and elastic modulus of the magnetorheological composites.
IntroductionMagnetorheological elastomers (MREs) are a special type of smart composites distinguished by their ability for significant shape and elastic properties changes in response to applied magnetic field. Under magnetization, the microparticles of the ferromagnet filler are got coupled by ponderomotive forces that entails a number of interesting effects: magnetically induced deformation and stiffening of MREs, the magnetic shape memory, and others, all of which possessing a substantial practical potential. At the qualitative level, the picture is simple. The applied external field magnetizes the particles and imparts magnetic moments to them. The arising ponderomotive interaction strives to arrange the particles into a spatial structure that corresponds to the minimum of magnetostatic energy. For the particles embedded in a polymer, this tendency is opposed by the elastic restoring forces, which turn up in the MRE matrix as soon as any particle shifts from its initial position. Both experiment [1,2,3] and theory [4,5,6] show that such changes can strongly modify the properties of simulated MRE samples, thus entailing their qualitatively different behavior. The key issue underlying these peculiarities is the magneto-elastic interaction of the particles in a magnetorheological elastomer at the mesoscopic level, i.e., at the scale of the particle size and the interparticle distance.