We consider an elastic polar media consisting of rotating particles with axial symmetry (Kelvin's media). These particles can oscillate, rotate and turn in general kind.
We suppose that internal forces in this continuum do not depend on the angles of own rotation of particles or their angular velocities of own rotation. We are going to obtain nonlinear constitutive equations of this media. It is shown that the constitutive equations of this continuum, solid ferromagnets in magnetic saturation and elastic shells are analogous. There is an exact correspondence between Kelvin's media and ferromagnetic insulators in magnetic saturation. We can take into account interaction between magnetic and elastic subsystems from most general point of view.
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