Modeling Plastic Deformation Effects in Steel on Hysteresis Loops With the Same Maximum Flux Density

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.…”

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

“…[2,3], except that n ¼ 0:66 is used now for the Ludwik exponent used in computing the strain-hardening stress that enters into the model. This value of n ¼ 0:66 was extracted from the tensile mechanical data after using nonlinear extrapolation from the uniform strain region to obtain the Sy used in Ludwik's law.…”

“…It is known that in this steel, in rolled specimens, the magnetic hysteresis behavior is sharply sheared by what is considered to be a rather small plastic deformation (0.5%) [1]. A new modification [2] to the Jiles-Atherton hysteresis model has made it possible to model the magnetic effects of plastic deformation on the magnetic hysteresis B2H curve [3]. The flow curve of the steel, especially in the tensilely deformed specimens, shows evidence of discontinuous yield, which can be explained by a Cottrell atmosphere of carbon atoms initially pinning the dislocations [4]; hence, the ''apparent'' yield stress needed to start dislocation flow is actually greater than what is needed to continue dislocation flow.…”

Impact of plastic deformation on magnetoacoustic properties of Fe–2%Si alloy

“…The other result is that the plastic deformation process may leave the specimen under residual stress. Nowadays, it is possible to compute magnetic hysteresis loops on the basis of the effect of grain size d and dislocation density r [4]. The magnetic hysteresis process can be 'detected' directly by means of the magnetic Barkhausen noise (MBN) signal, which is due to irreversible movement of DW, regardless to their type.…”