Magnetodeformational effect in ferrogel objects

Deformation arising in a ferrogel sample in response to applied uniform magnetic field is investigated assuming that ferrogel is an isotropic linearly magnetizable medium. For small deformations the results on solid and hollow spherical samples are presented. We find that compliance of a hollow sphere (vesicule) to elongation grows with diminution of the wall thickness; this is accompanied by the decrease of the internal volume of the vesicule.