Stability of magnetoactive composites with periodic microstructures undergoing finite strains in the presence of a magnetic field

We investigate the macroscopic magnetomechanical instabilities in magnetorheological elastomer (MRE) composites undergoing finite strains in the presence of a magnetic field. In particular, we identify the unstable domains for MRE composites with periodically distributed circular and elliptical inclusions embedded in a soft matrix. We use the isotropic Langevin model for magnetic behavior, to account for the initial (linear) susceptibility and saturation magnetization of the magnetoactive inclusions. We analyze the influence of the applied magnetic field and finite strains, as well as particle shape and material properties, on the stability of the MRE composites. We find that the stable and unstable domains can be significantly tuned by the applied magnetic field, depending on deformation, microstructure and magnetic properties of the inclusions such as initial susceptibility and saturation magnetization.