Fitting the flow curve of a plastically deformed silicon steel for the prediction of magnetic properties

Connection between microstructure and magnetic properties of soft magnetic materials

“…A case of particular importance in this respect is the dependence of macroscopic hysteresis on plastic deformation [39]. In recent papers [40,41], this problem has been addressed in the frame of Jiles-Atherton-type models. The two model parameters k and a that control the strength of pinning effects and the slope of the anhysteretic curve are assumed to have identical dependence on grain size s and dislocation density z d , this dependence being of the type: a; k / ðG 1 þ G 2 =sÞ ffiffiffiffi ffi z d p , where G 1 and G 2 are constant coefficients.…”

Effect of rolling on the residual stresses and magnetic properties of a 0.5% Si electrical steel

“…It would appear that the micro-stresses from the plastic deformation are the main reason for large increase of the coercive field and of the hysteresis loss component. The general monotonic increase of dislocation density with plastic deformation was seen both in the Sablik model [3] and in experimental data. …”

“…The experimental X-ray diffraction data tended to saturate at these higher deformations, as might be expected from the tangling and piling up of dislocations. The model by Sablik et al [3] did not take into account tangles and, thus, better agreement between model and experiment ( Table 2) is expected for lower reductions (o10%).…”

“…Small plastic deformation leads to a large increase of the hysteresis area [1][2][3], significantly increasing energy losses. There is great technological interest in a better understanding of the origin of this effect, as well as in the possibility of its modeling.…”

“…A comprehensive magnetic and microstructural characterization was undertaken with this objective, including dc-hysteresis curve and iron losses in an Epstein frame, macro and micro residual stresses, and crystallographic texture. The dislocation density can also be estimated with X-ray diffraction and will be here compared against the model of Sablik et al [3] for the effect of plastic deformation on hysteresis curve and magnetic properties.…”