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In this contribution a magnetoactive elastomer (MAE) of mixed content, i.e.,a polymer matrix filled with a mixture of magnetically soft and magneticallyhard spherical particles, is considered. The object we focus at is anelementary unit of this composite, for which we take a set consisting of apermanent spherical micromagnet surrounded by an elastomer layer filled withmagnetically soft microparticles. We present a comparative treatment of thisunit from two essentially different viewpoints. The first one is acoarse-grained molecular dynamics simulation model, which presents thecomposite as a bead-spring assembly and is able to deliver information of allthe microstructural changes of the assembly. The second approach is entirelybased on the continuum magnetomechanical description of the system, whosedirect yield is the macroscopic field-induced response of the MAE to externalfield, as this model ignores all the microstructural details of themagnetization process. We find that, differing in certain details, bothframeworks are coherent in predicting that a unit comprising magnetically softand hard particles may display a non-trivial re-entrant(prolate/oblate/prolate) axial deformation under variation of the applied fieldstrength.  The flexibility of the proposed combination of the two complementaryframeworks enables us to look deeper into the manifestation of the magneticresponse: with respect to the magnetically soft particles, we compare thelinear regime of magnetization to that with saturation, which we describe bythe Fr\"{o}hlich-Kennelly approximation; with respect to the polymer matrix, weanalyze the dependence of the re-rentrant deformation on its rigidity.

Magnetostriction in elastomers with mixtures of magnetically hard and soft microparticles: effects of non-linear magnetization and matrix rigidity