Abstract
The problem of influence of an external magnetic field on the torsional deformation of magnetic elastomers is considered. The magnetic elastomer is modeled by a structure consisting of polydisperse spherical two-phase cells of the same kind, each of which is a magnetized hard sphere with a shell of an easily deformable elastomer. Such сells continuously fill the volume of a hollow cylindrical rod, with smaller cells located in domains among larger ones. The problem is solved in a linear formulation for the micro- and macrolevels of magnetic and elastic strain fields which appear in the magnetic elastomer under the action of an external magnetic field. The volume fractions of magnetized spherical inclusions corresponding to the maximum torsional deformation of the composite rod are found.
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