Analytical Modeling of Magneto-Electric Effects Based on Nonlinear Properties

ZHENG Jianxiao; WANG Chuyou; LIU Jinsong; ZHOU Liming; ZHANG Mao

doi:10.21656/1000-0887.450238

Volume 46 Issue 12

Dec. 2025

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Article Navigation > Applied Mathematics and Mechanics > 2025 > 46(12): 1560-1570

ZHENG Jianxiao, WANG Chuyou, LIU Jinsong, ZHOU Liming, ZHANG Mao. Analytical Modeling of Magneto-Electric Effects Based on Nonlinear Properties[J]. Applied Mathematics and Mechanics, 2025, 46(12): 1560-1570. doi: 10.21656/1000-0887.450238

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Analytical Modeling of Magneto-Electric Effects Based on Nonlinear Properties

doi: 10.21656/1000-0887.450238

1. College of Mechanical and Electrical Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, P.R.China;
2. College of Mechanical and Aerospace Engineering, Jilin University, Changchun 130025, P.R.China

Funds:

The National Science Foundation of China(52002309)

Received Date: 2024-08-29
Rev Recd Date: 2025-02-26

Available Online: 2025-12-31

Abstract

Abstract

A magnetoelectric effect analysis model based on the equivalent circuit method was proposed to address the complex nonlinear magneto-mechanical coupling in magnetostrictive materials and the interface coupling between magnetoelectric composites. With the nonlinear model for magnetostrictive material Tb_0.3Dy_0.7Fe_1.92(Terfenol-D), theoretical derivations were carried out to obtain expressions for the magnetostrictive coefficient, the piezomagnetic coefficient, and the relative permeability of the magnetostrictive material under complex nonlinear magneto-mechanical coupling conditions, which were then incorporated into the linear constitutive equations of the magnetostrictive material. The equivalent circuit method was applied to model both magnetostrictive material Terfenol-D and piezoelectric material Pb(Zr,Ti)O₃(PZT), with the introduction of an interface coupling coefficient to couple the 2 equivalent circuits. By comparison of the theoretical predictions of the piezomagnetic coefficient and the magnetoelectric voltage coefficient with experimental data, the effectiveness of the equivalent parameter expressions and the nonlinear theoretical model was validated. The study shows that, the magnetoelectric voltage coefficient is closely related to the laminate ratio, the interface coupling coefficient, and the applied magnetic field. The results provide a theoretical guidance for optimizing the magnetoelectric effects in magnetoelectric composites.
- magnetostrictive material,
- equivalent circuit method,
- interface coupling coefficient,
- magnetoelectric voltage coefficient,
- magnetoelectric composition

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References(24)

References

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