Mathematics of Hysteretic Phenomena

Takács, J.

doi:10.1002/3527606521

Cited by 90 publications

(88 citation statements)

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“…In previous work the authors have attempted to use the major hysteresis loop of drawn wire as an indicator of residual stress [15,16]. The phe- * corresponding author; e-mail: krzysztof.chwastek@gmail.com nomenological Takács [17] and Jiles-Atherton [18] descriptions, which included the Sablik extension to the effective field [19], were used for this purpose. Despite some encouraging results it was found that in order to obtain a good agreement between the measured and modelled hysteresis curves it was necessary to introduce the experimental H c values into analytical expressions.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Residual Stresses on the Coercive Field Strength of Drawn Wires

et al. 2017

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Residual stresses occurring in drawn wires due to technological process affect their quality, which in turn may have a substantial impact on safety of use and "life" of ready-made products. Measurements of magnetic properties of the wires like coercive field strength may be useful for monitoring the level of residual stresses. The present paper examines the relationship between the drawing speed and the coercive field strength in high carbon wires. It has been found that for drawing speeds not exceeding 20 m/s the coercive field strength is proportional to residual stresses on wire surface.

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Section: Introductionmentioning

confidence: 99%

The Effect of Residual Stresses on the Coercive Field Strength of Drawn Wires

et al. 2017

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“…The initial "hyperbolic model" [3,7] was further developed in [5,6,8,9]. For the testing of this model we have used three types of samples.…”

Section: Methodsmentioning

confidence: 99%

“…The hysteresis models [1][2][3][4] published so far are based on the separate domain wall movement with domain wall pinning coercivity and domain rotation processes working against an effective anisotropy field. This can be accepted in crystalline materials but for amorphous and nanocrystalline materials these two processes are overlapping especially in the low and intermediate magnetic fields.…”

Section: Introductionmentioning

confidence: 99%

Study of the Magnetization Processes in Feb-Based Amorphous Ribbons

Kováč¹,

Novák²

2013

Acta Electrotechnica Et Informatica

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The magnetization processes in amorphous ferromagnetic alloys were studied by the hyperbolic model of hysteresis. The measured hysteresis data were used for separation of the domain wall movement, domain rotation and domain wall annihilation and nucleation process during decreasing of the excitation magnetic field. The external applied tensile stress was used as a parameter. Our results show that the process of the domain rotation is the most sensitive for the applied stress. The corresponding magnetization energy decreases with increasing of the mechanical stress for all our studied samples with the positive magnetostriction coefficient.

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“…In the original T(x) model, 13,14 the hysteresis loop can be described with the sum of sigmoid and linear functions. The sigmoid hysteretic function characterizes the irreversible magnetization changes.…”

Section: Hysteresis Modelmentioning

confidence: 99%

Study on the magnetization-reversal behavior of annealed Sm-Fe-Co-Si-Cu ribbons

Dośpial¹,

Garus²,

Nabiałek³

2015

Mater. Tehnol.

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The paper presents the studies of Sm-Fe-Co-Si-Cu ribbons obtained with the melt-spinning technique, annealed at 1123 K for 3 h. The phase-composition studies were made using a D8 Advance Bruker X-ray diffractometer. It was found that the studied alloy has a multi-phase composition. These studies were of crucial importance in the interpretation of the magnetization reversal. Magnetic measurements, i.e., the major hysteresis loop and recoil curves were performed using a LakeShore vibrating-sample magnetometer with the maximum magnetic field of up to 2 T. On the basis of the recoil curves, the hysteresis loop was decomposed into the reversible and irreversible magnetization components. The decomposed curve was used to describe the processes that influence the reversal magnetization in the studied permanent magnets. Further, these components were used to model the recoil curves, using a modified hyperbolic T(x) model based on the method described by Dooepial. The modeled hysteresis loop and recoil curves revealed a high compliance with the experimental data, proving the validity of the assumptions made in the modeling procedure. Keywords: permanent magnets, TbCu 7 structure, magnetization reversal, hysteresis model lanek predstavlja {tudij trakov Sm-Fe-Co-Si-Cu, dobljenih s tehniko "melt-spining", 3 h`arjenih pri 1123 K. [tudij sestave faz je bil izvr{en z rentgenskim difraktometrom D8 Advance Bruker. Ugotovljeno je bilo, da je preu~evana zlitina sestavljena iz vef az. Te {tudije so bile klju~nega pomena pri razlagi obrata magnetizacije. Magnetne meritve, to so glavna histerezna zanka in povratne krivulje, so bile izvr{ene z magnetometrom LakeShore z vibrirajo~im vzorcem z uporabo najve~jih magnetnih polj do 2 T. Na podlagi povratnih krivulj je bila histerezna zanka razdeljena v komponente reverzibilne in ireverzibilne magnetizacije. Razstavljene krivulje so bile uporabljene za opis procesov, ki vplivajo na obrat magnetizacije pri preu~evanih permanentnih magnetih. Nadalje so bile te komponente uporabljene za modeliranje povratnih krivulj z modificiranim hiperboli~nim modelom T(x) na podlagi metode, ki jo je opisal Dooepial. Modelirane histerezne zanke in povratne krivulje so odkrile veliko ujemanje z eksperimentalnimi podatki, kar potrjuje veljavnost pribli`kov, uporabljenih pri razvoju modela. Klju~ne besede: permanentni magneti, strukture TbCu 7, obrat magnetizacije, histerezni model

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Mathematics of Hysteretic Phenomena

Cited by 90 publications

References 0 publications

The Effect of Residual Stresses on the Coercive Field Strength of Drawn Wires

The Effect of Residual Stresses on the Coercive Field Strength of Drawn Wires

Study of the Magnetization Processes in Feb-Based Amorphous Ribbons

Study on the magnetization-reversal behavior of annealed Sm-Fe-Co-Si-Cu ribbons

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