A Nonlinear Theoretical Model of Magnetization and Magnetostriction for Ferromagnetic Materials under Applied Stress and Magnetic Fields*

Shi, Pengpeng

doi:10.1088/0256-307x/37/8/087502

Cited by 12 publications

(6 citation statements)

References 29 publications

(45 reference statements)

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“…In above studies [14,[18][19][20][21][22], a nonlinear function tanh is used to represent the boundary point of the saturation magnetic domain walls displacement magnetization, while the tanh function is easy to saturate and cannot accurately describe the saturation domain wall displacement magnetization gradient under stress. In comparison, the activation function softsign(x) = x 1+|x| has a flatter curve, which solves the gradient disappearance better than tanh.…”

Section: Magnetostrictive Strainmentioning

confidence: 99%

“…where χ is a scale factor, M ws is the saturation magnetic domain wall displacement magnetization of the material with unstressed state, η is the comprehensive evaluation coefficient, σ s is yield stress, υ is the shape factor of elastic deformation, and b is a balance coefficient of the stress state. In the magnetization process, when M 0 (σ) < M an or M 0 (σ) ≥ M an , the coefficient a ij is different [2,14,[17][18][19][20][21][22], and it can be obtained by fitting experimental data.…”

Section: Magnetostrictive Strainmentioning

confidence: 99%

“…The theoretical prediction results of magnetostrictive strain deviate greatly from the experimental results [16]. Aimed at the problem of magnetostrictive strain in the J-A model, based on Zheng Xiao-Jing-Liu Xin-En model [17], Shi et al [18][19][20], Kim et al [21,22] proposed a new magnetostrictive strain equation, which could reflect the nonlinear change of magnetostrictive strain with stress or magnetization. However, it still cannot accurately describe the magnetostrictive strain changes under compressive stress, nor can it describe the hysteresis characteristics of materials and the effect of elastoplastic deformation on hysteresis.…”

Section: Introductionmentioning

confidence: 99%

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A nonlinear magneto-elastoplastic coupling model based on Jiles–Atherton theory of ferromagnetic materials

Hu¹,

Yang²,

Zhang³

2022

J. Phys. D: Appl. Phys.

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As seen in the Jiles-Atherton (J-A) model and its modified form, the linear relationship between the magnetization coefficient and the stress deviates significantly from the experimental results. It is required to introduce many parameters that are difficult to obtain or unknown to describe the effect of elastoplastic deformation on magnetization or hysteresis, such as shape coefficient, pinning coefficient, and molecular field coefficient. In this paper, a new nonlinear magneto-elastoplastic model for ferromagnetic materials is established based on the magneto-mechanical coupling effect, and both the sixth-order term of magnetization and the nonlinear equation of the magnetization coefficient are introduced into the magnetostriction equation. In the models established in this paper, the elastoplastic deformation equivalent magnetic field is introduced into the effective magnetic field, and the Frohlich-Kennelly equation is used to describe the anhysteretic magnetization. After comparing the prediction results of different models with the available experimental results, it is observed that the proposed model in this paper exhibits superior prediction ability for magnetostrictive strain, magnetization, and hysteresis phenomena under different stresses. This paper has also analyzed the mechanism of the effect of elasto-plastic loading and residual plastic deformation on the hysteresis in different models as well as the differences between them. The determination coefficient of the proposed model in this paper is closer to 1 that is better than the existing models, indicating that it has a better fitting effect and is of great significance to the development of quantitative nondestructive testing technology.

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Section: Magnetostrictive Strainmentioning

confidence: 99%

Section: Magnetostrictive Strainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A nonlinear magneto-elastoplastic coupling model based on Jiles–Atherton theory of ferromagnetic materials

Hu¹,

Yang²,

Zhang³

2022

J. Phys. D: Appl. Phys.

View full text Add to dashboard Cite

show abstract

“…It seems that more complex magnetization models have become more popular in recent years [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ], but this is not good news for the engineering applications of the models. These models directly used the classical model as a sub-model, or performed some adaptive improvements to the classical model to improve the applicability.…”

Section: Introductionmentioning

confidence: 99%

An Easily Used Phenomenological Magnetization Model and Its Empirical Expressions Based on Jiles–Atherton Parameters

Xue

Bai

Li³

et al. 2022

Materials

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In this paper, a simple magnetization model convenient for engineering applications is presented based on the expressions of the first-order LTI system model. Considering the trade-off between the nonlinearity of anhysteretic magnetization and the hysteresis width, the proposed model employs two different equations with different magnetic field amplitudes. Furthermore, the proposed model utilizes the first-order LTI system model with a low magnetic field amplitude and a simple nonlinear function, based on the amplitude–frequency function, with a high magnetic field amplitude. Two important characteristic parameters for engineering applications, namely, amplitude and the equivalent phase lag, were exacted and analyzed to validate the computation precision of the proposed model. Then, the model was verified through comparisons to the validated Jiles-Atherton model. For easy use, similar to a physics-based model instead of a fitting method, empirical expressions for the model parameters were given, and applicable ranges of these equations were determined using the parameters of the Jiles-Atherton model. Finally, an example of the magnetization model applied to an on/off type device was computed to further verify the effectiveness of the proposed model with quite a simple expression.

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“…However, the above-mentioned models [9][10][11][12][13][14][15][16][17][18] did not consider the effect of plastic deformation. Based on energy theory and a microscopic statistical model, Shi [19] considered the equivalent field components caused by external factors, such as magnetic field, stress and plastic deformation, proposing a new magneto-elastic-plastic coupling model for ferromagnetic materials. The nonlinear changes of magnetostrictive strain and anhysteresis magnetization revealed by the model were completely consistent with the existing experimental results.…”

Section: Introductionmentioning

confidence: 99%

Research on a theoretical model of magnetic nondestructive testing for ferromagnetic materials based on the magneto–mechanical coupling effect

Hu¹,

Fu²,

Wang³

et al. 2021

J. Phys. D: Appl. Phys.

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In this paper, a new nonlinear magneto–mechanical coupling constitutive model, based on thermodynamic theory and the hysteresis effect, introduces the 6th order term of magnetization in the whole magnetic field and the global coupling factor related to the magneto–mechanical coupling into the magnetostrictive strain. Compared with the Zheng Xiao-Jing–Liu Xin-En model and Jiles–Atherton model, the nonlinear model precisely describes the hysteresis of the material and the magnetostrictive strain under the compressive stress and the nonlinear change of the magnetostrictive strain with stress and magnetization. The comparison of the prediction results of different models with the existing experimental data shows that the proposed model has a better prediction ability of the mid-field magnetostrictive strain, low-field magnetic flux density, and high-field magnetic flux density than other models. In addition, this paper also investigates that the effects of stress and plastic deformations on the hysteresis curve, coercivity, and remanence. The difference and mechanism of elasto–plastic deformations affecting the magnetization process of materials are obtained. Above all, the results in this paper are of great significance for the development of non-destructive testing inversion technology.

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A Nonlinear Theoretical Model of Magnetization and Magnetostriction for Ferromagnetic Materials under Applied Stress and Magnetic Fields*

Cited by 12 publications

References 29 publications

A nonlinear magneto-elastoplastic coupling model based on Jiles–Atherton theory of ferromagnetic materials

A nonlinear magneto-elastoplastic coupling model based on Jiles–Atherton theory of ferromagnetic materials

An Easily Used Phenomenological Magnetization Model and Its Empirical Expressions Based on Jiles–Atherton Parameters

Research on a theoretical model of magnetic nondestructive testing for ferromagnetic materials based on the magneto–mechanical coupling effect

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