Comparison of macroscopic descriptions of magnetization curves

Abstract

Abstract. The paper considers a qualitatively different behaviour of two phenomenological hysteresis models. The first one is the widespread Jiles-Atherton description, which is based on the "effective field" concept. The other model is the proposal by the Brazilian research team GRUCAD. First order reversal curves simulated with the latter formalism do not exhibit negative slopes. This feature is in accordance with the experiment.

A Simplified Sablik’s Approach to Model the Effect of Compaction Pressure on the Shape of Hysteresis Loops in Soft Magnetic Composite Cores

“…The model parameters α, a, k, M s , K. δ = ±1 were used in order to distinguish the upper and lower loop branches whereas δ M = 0.5[1 + sign((M an − M) · dH/dt)] was introduced in order to suppress the negative susceptibilities obtained after sudden field reversals [41][42][43]. The assumed form of model equations was similar to the one considered in the original paper [13].…”

“…In this paper we made a number of simplifying assumptions. We did not take the reversible magnetization component into account in model equations (introduced in the subsequently published most-cited paper on the JA model, i.e., Reference [44]), in order to avoid the subtle intricate conceptual problems with the JA model, these have been addressed thoroughly in other papers [41][42][43]45,46]. We assumed a linear dependence of magnetostriction on magnetization, since some problems were reported for more complicated relationships [47].…”

A Comparison of Two Phenomenological Descriptions of Magnetization Curves Based on T(x) Model

“…In the low-dimensional GRUCAD model [8][9][10][11], considered by us for the description of hysteresis curves of soft magnetic composites (SMCs) [12,13], the irreversible and reversible magnetization effects are decoupled and described with separated sets of equations, which also reminds the extension of T (x) model described in this section.…”

The Harrison Model as a Tool to Study Phase Transitions in Magnetocaloric Materials

“…At this point it should be remarked that there exists a modification of the JA description, which relies rather on summation of field strengths than magnetization terms [25,26]. This version has a number of distinctive features: hysteresis loop branches are obtained by the introduction of an offset along the Haxis and not along the M -axis like in the original description [27], which results in a qualitatively different model behaviour for sudden field reversals [28]. The irreversible and reversible processes are described with decoupled sets of equations, like in the Harrison proposal (in the original JA approach they are coupled with the effective field).…”