Experimental Study on Magneto-thermo-mechanical Behaviors of Terfenol-D

Xu, Guizhi; Pei, Yongmao; Fang, Daining

doi:10.1299/jmmp.4.652

Cited by 13 publications

(9 citation statements)

References 10 publications

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“…For example, Moffett et al 7 measured magnetostrictive strain, piezomagnetic coefficient d 33 , permeability µ T 33 and compliance coefficient s H 33 of magnetostrictive material Terfenol-D rod under eight groups of different bias fields and pre-stresses, and found that when compressive pre-stresses were applied along axial direction, the increase of magnetization and magnetostrictive strain obviously slowed down in low and moderate magnetic and Gao et al 9,10 measured the variety of magnetostrictive strain, magnetization and Young's modulus of Terfenol-D rod with bias magnetic field under different axial pre-stresses and temperatures. The above results provided the basis for examining the pros and cons of various magnetostrictive constitutive models, and helped us to better understand the magneto-thermo-mechanical characterizations of Terfenol-D. For other magnetostrictive materials, like Metglas, Gillette et al 11 measured the curve of magnetostrictive coefficient with magnetic field, and Spano et al 12 measured the magnetization curves of Metglas under different stresses.…”

Section: Introductionmentioning

confidence: 99%

A general one-dimension nonlinear magneto-elastic coupled constitutive model for magnetostrictive materials

Zhang

Zhou

2015

AIP Advances

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For magnetostrictive rods under combined axial pre-stress and magnetic field, a general one-dimension nonlinear magneto-elastic coupled constitutive model was built in this paper. First, the elastic Gibbs free energy was expanded into polynomial, and the relationship between stress and strain and the relationship between magnetization and magnetic field with the polynomial form were obtained with the help of thermodynamic relations. Then according to microscopic magneto-elastic coupling mechanism and some physical facts of magnetostrictive materials, a nonlinear magneto-elastic constitutive with concise form was obtained when the relations of nonlinear strain and magnetization in the polynomial constitutive were instead with transcendental functions. The comparisons between the prediction and the experimental data of different magnetostrictive materials, such as Terfenol-D, Metglas and Ni showed that the predicted magnetostrictive strain and magnetization curves were consistent with experimental results under different pre-stresses whether in the region of low and moderate field or high field. Moreover, the model can fully reflect the nonlinear magnetomechanical coupling characteristics between magnetic, magnetostriction and elasticity, and it can effectively predict the changes of material parameters with pre-stress and bias field, which is useful in practical applications. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx

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Section: Introductionmentioning

confidence: 99%

A general one-dimension nonlinear magneto-elastic coupled constitutive model for magnetostrictive materials

Zhang

Zhou

2015

AIP Advances

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“…The behavior of magnetostrictive materials, in particular, that of giant Terfenol-D magnetostrictive, has been observed in several experiments (Anjanappa and Bi, 1994;Clark, 1980;Clark and Crowder, 1985;Domenjoud et al, 2019;Gao et al, 2010;Liang and Zheng, 2007;Moffett et al, 1991).…”

Section: Introductionmentioning

confidence: 93%

Analysis of the elasto-magnetic wave propagation in a smart magnetostrictive actuator using a mesh-free method

Belfallah

laasri

Fouaidi

et al. 2022

Journal of Intelligent Material Systems and Structures

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This work aims to propose an implicit algorithm for solving the magnetoelastic wave propagation in a magnetostrictive actuator. This algorithm is built by combining meshless methods with the Newmark implicit time scheme. The mathematical formulation of vibrations of the actuator is performed by modeling the experimental actuator device by a monodimensional magnetostrictive cylindrical rod attached to an elastic spring, subjected to an axial magnetic field. The formulation of the problem is carried out using the rod model. The study is carried out taking into account mechanical and magnetic effects described by a linear model of strain-stress magnetoelastic relations, whose coefficients depend on the square of the magnetic field, elastic, magnetostrictive, and magnetoelastic characteristics of the elastomagnetic material of which the rod is made. The dynamic equation which describes the magnetoelastic wave propagation in the actuator is obtained by applying the Lagrangian formalism based on the least action principle. The wave propagation is governed by a spatio-temporal partial differential equation whose coefficients are a function of on elastic, magnetostrictive, and magnetic characteristics and implicitly depends on time. The resolution of the dynamic equation is made by adopting two numerical approaches developed by combining the mesh-free collocation methods, the Moving Least Squares (MLS), and the Radial Point Interpolation Method (RPIM) with the Newmark implicit scheme temporal integration. By performing the spatial discretization of the displacement, we obtain a system of linear second-order ordinary differential equations (ODEs), then transform it into a system of first-order ordinary differential equations after integrating Newmark’s implicit time scheme. A comparison of results computed by the proposed numerical approaches RPIM and MLS with experimental data available in the literature is presented. The stability and the solutions qualities of two meshless methods, RPIM and MLS, are also studied. The influence of magnetical and mechanical parameters as well as the coupling coefficients on the performance of the magnetostrictive actuator is also made.

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“…[20][21][22][23] However, the nonlinear constitutive model of magnetostrictive phase is complex and not intuitive for building an equivalent circuit model, so it is replaced by the magnetostrictive constitutive model with variable coefficients in this paper. Without regard to the thermal expansion effect, the constitutive equations are expressed as:…”

Section: The Establishment Of Modelmentioning

confidence: 99%

“…Now, many researchers dedicate to improving the linearity of the CME effect. 19 However, the magnetization and magnetostriction of the ferromagnetic materials show the strong nonlinear thermo-magneto-mechanical coupling characteristic [20][21][22][23] under the influences of bias magnetic field, pre-stress and temperature, which lead to the CME effect and the electric field controlled magnetization effect possessing the strong nonlinear coupling effects essentially. Thus, to carry out a research about the nonlinear converse magnetoelectric coupling effect under the multi-physical field loadings is very urgent and necessary.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear resonance converse magnetoelectric effect modulated by voltage for the symmetrical magnetoelectric laminates under magnetic and thermal loadings

et al. 2016

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Based on the tri-layer symmetrical magnetoelectric laminates, a equivalent circuit for the nonlinear resonance converse magnetoelectric coupling effect is established. Because the nonlinear thermo-magneto-mechanical constitutive equations of magnetostrictive material were introduced, a converse magnetoelectric coefficient model was derived from the equivalent circuit, which can describe the influence of bias electric field, bias magnetic field and ambient temperature on the resonance converse magnetoelectric coupling effect. Especially, the model can well predict the modulation effect of bias electric field/voltage on the magnetism of magnetoelectric composite or the converse magnetoelectric coefficient, which is absolutely vital in applications. Both of the converse magnetoelectric coefficient and the resonance frequency predicted by the model have good agreements with the existing experimental results in qualitatively and quantitatively, and the validity of the model is confirmed. On this basis, according to the model, the nonlinear trends of the resonance converse magnetoelectric effect under different bias voltages, bias magnetic fields and ambient temperatures are predicted. From the results, it can be found that the bias voltage can effectively modulate the curve of the resonance converse magnetoelectric coefficient versus bias magnetic field, and then change the corresponding optimal bias magnetic field of the maximum converse magnetoelectric coefficient; with the increasing volume ratio of piezoelectric layers, the modulation effect of bias voltage becomes more obvious; under different bias magnetic fields, the modulation effect of bias voltage on the converse magnetoelectric effect has nonvolatility in a wide temperature region.

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Experimental Study on Magneto-thermo-mechanical Behaviors of Terfenol-D

Cited by 13 publications

References 10 publications

A general one-dimension nonlinear magneto-elastic coupled constitutive model for magnetostrictive materials

A general one-dimension nonlinear magneto-elastic coupled constitutive model for magnetostrictive materials

Analysis of the elasto-magnetic wave propagation in a smart magnetostrictive actuator using a mesh-free method

Nonlinear resonance converse magnetoelectric effect modulated by voltage for the symmetrical magnetoelectric laminates under magnetic and thermal loadings

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