Calculation of magnetostatic energy<i>f</i>_<i>m</i>related to small-angle grain boundaries in three-axis ferromagnetics such as silicon steel

Abstract

A calculation was performed of the energy volume density fm in a magnetic field m that is caused by planar small-angle grain boundaries (GBs) in a polycrystalline ferromagnetic, such as silicon steel, with grains magnetized to saturation (M = MS). Equations for the field components, Hmξi and energy, fm, were obtained and solved, taking into account the µ*-effect near GBs. It is shown that deviations of the vectors such as S from the easy directions, ⟨100⟩, under the action of fields m at GBs leads to an essential (in ten times) decrease of the (Hmξi)max component and the ⟨(fm)max⟩ values. The influences of the orientation of the GB surfaces and µ* on the fm distribution are discussed. The results of the computation are compared with the corresponding experimental data for samples of grain-oriented silicon steel sheets.