Generalized form of anhysteretic magnetization function for Jiles–Atherton theory of hysteresis

Abstract

A generalized form of anhysteretic magnetization function to extend Jiles–Atherton theory to different forms of anisotropy has been derived. The general equation for the function has been compared with those of calculations made on the basis of known equations for specific cases: axially anisotropic (one-dimensional), planar anisotropic (two-dimensional), and isotropic (three-dimensional). The Jiles–Atherton model using the proposed functional form of generalized anhysteretic magnetization function for anisotropy dependence has been validated and the necessary equations derived. It has been shown in this work that this functional form of anhysteretic magnetization with necessary boundary conditions can be reduced to the familiar specific model equations in the particular cases.

Dependence of demagnetizing fields in Fe-based composite materials on magnetic particle size and the resin content

“…Several methods for quantitative study of these fields in some soft magnetic materials were described and applied e. g. the calculations from measured permeabilities [3,9,10,14], from the hysteresis model [6], from measured remanent and saturation magnetization [7] or also from the tilt of the anhysteretic magnetization curve [1,2,4,7]. On the other hand the anhysteretic magnetization curve was mainly analyzed acoording to the Jiles-Atherton ferromagnetic hysteresis model [15,16], including SMCs [17]. The demagnetizing fields within SMC have not yet been studied by means of the anhysteretic magnetization curve measurement.…”

Correlation between uniaxial ratcheting and magnetic response under cyclic loadings in X80 pipeline steel

“…Later, based on the law of approach and effective field theory, the magnetomechanical effect was modelled theoretically by Jiels and Atherton and Sablik . This model theory was successively verified by Maylin and Squire, and has been widely used because of its relative consistency with experimental results . Further work by Jiles and Li modified the model theory based on the Rayleigh law.…”

“…[8] This model theory was successively verified by Maylin [9] and Squire, [10] and has been widely used because of its relative consistency with experimental results. [11][12][13] Further work by Jiles and Li [14,15] modified the model theory based on the Rayleigh law.Due to the microstructural dependence of the magnetic response, the magnetomechanical effect has recently been receiving increasing attention particularly from those interested in applying it to the condition monitoring of steel…”

Modeling of grain-oriented Si-steel and amorphous alloy iron core under ferroresonance using Jiles–Atherton hysteresis method

“…[7][8][9][10] The magnetic flux density and magnetic field (magnetic quantities) in the original JA model are replaced by the flux linkage and current (electrical quantities) to facilitate the JA hysteresis model with the EMTP-type platforms. The modified static ψ-i JA model is defined as…”