Equations are given for the interaction energy W and interaction force ψ of 180° and 90° Bloch walls with ferromagnetic precipitations in iron. The basic assumption is that precipitations should be treated as a certain volume of iron with increased nitrogen concentration, which is responsible for the difference in the magnetic anisotropy in precipitations and pure iron. In consequence, the energy of the Bloch wall inside the precipitation differs from that of the iron lattice and gives rise to the interaction between Bloch walls and precipitations. The interaction of Bloch walls with ferromagnetic precipitations is calculated for two cases, first when the precipitation is much smaller, and second when it is much larger than the thickness of the domain wall.
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