Analogy of magnetization reversal of a magnetic bilayer system and nonlinear bending of an elastic rod with compression

The exact analytical solution of a problem on magnetization reversal of magnetic structure taking into account uniaxial anisotropy is considered. The dependence of average on layer thickness magnetization from constant field is obtained. The exact threshold value of uniaxial anisotropy parameter at which a hysteresis loop disclosing begins is derived. The magnetization reversal of magnetic structure is similar to nonlinear bending with compression of elastic rod.