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A nonlinear constitutive model for magnetostrictive materials

Acta Mechanica Sinica 2005年第3期21卷 278-285页

作者： Xin'en Liu Xiaojing Zheng Department of Mechanics Lanzhou University Lanzhou 730000 China

A general nonlinear constitutive model is proposed for magnetostrictive materials, based on the important physical fact that a nonlinear part of the elastic strain produced by a pre-stress is related to the magnetic domain rotation or movement and is responsible for the change of the maximum magnetostrictive strain with the pre-stress. To avoid the complicity of determining the tensor function describing the nonlinear elastic strain part, this paper proposes a simplified model by means of linearizing the nonlinear function. For the convenience of engineering applications, the expressions of the 3-D （bulk）, 2-D （film） and 1-D （rod） models are, respectively, given for an isotropic material and their applicable ranges are also discussed. By comparison with the experimental data of a Terfenol-D rod, it is found that the proposed model can accurately predict the magnetostrictive strain curves in low, moderate and high magnetic field regions for various compressive pre-stress levels. The numerical simulation further illustrates that, for either magnetostrictive rods or thin films, the proposed model can effectively describe the effects of the pre-stress or residual stress on the magnetization and magnetostrictive strain curves, while none of the known models can capture all of them. Therefore, the proposed model enjoys higher precision and wider applicability than the previous models, especially in the region of the high field.

关键词： magnetostrictive materials Constitutive relations Terfenol-D rods magnetostrictive thin films Microactuators

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Magnetoelastic performance of〈110〉aligned polycrystalline Tb_(0.3)Dy_(0.7)Fe_2

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Rare Metals 2008年第2期27卷 142-145页

作者： WENG Ling WANG Bowen SUN Ying LI Shuying Busbridge Simon Key Laboratory of Hebei Province for Electro-Magnetic Field and Electrical Apparatus Reliability Hebei University of Technology Tianjin 300130 China University of Brighton Lewes Road Brighton BN2 4G J United Kingdom

The magnetoelastic performance of 〈110〉 aligned polycrystalline Tb0.3Dy0.7Fe2 was investigated, It has been found that the strain-stress curve is nearly linear without magnetic field, reflecting the purely mechanical elastic properties of the Tb0.3Dy0.7Fe2 rod. The strain-stress curve exhibits a complex behavior in magnetic field and can be divided into three stages. The different stages are explained with magnetic domains in the Tb0.3Dy0.7Fe2 rod alloy and the higher the magnetic field, the larger the stress to switch domains. The Young＇s modulus is also obtained from measuring the strain-stress curve and the variability of Young＇s modulus as the strain is analyzed.

关键词： magnetostrictive materials magnetoelastic strain-stress curve Young's modulus

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A Nonlinear Magneto-Mechanical Coupled Constitutive Model for the magnetostrictive Material Galfenol

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Computers, materials & Continua 2018年第3期54卷 209-228页

作者： Ying Xiao Haomiao Zhou Xiaofan Gou College of Information Engineering China Jiliang UniversityHangzhou310018P.R.China College of Mechanics and materials Hohai UniversityNanjing210098P.R.China

In order to predict the performance of magnetostrictive smart material and pushits applications in engineering, it is necessary to build the constitutive relations for themagnetostrictive material Galfenol. For Galfenol rods under the action of the pre-stress andmagnetic field along the axial direction, the one-dimensional nonlinear magneto-mechanicalcoupling constitutive model is proposed based on the elastic Gibbs free energy, where theTaylor expansion of the elastic Gibbs free energy is made to obtain the polynomial forms. Andthen the constitutive relations are derived by replacing the polynomial forms with the propertranscendental functions based on the microscopic magneto-mechanical coupling *** the perspective of microscopic mechanism, the nonlinear strain related to magneticdomain rotation results in magnetostrictive strain changing with the pre-stress among theelastic strains induced by the pre-stress. By comparison, the predicted stress-strain,magnetostrictive strain, magnetic induction and magnetization curves agreed well withexperimental results under the different pre-stresses. The proposed model can describe notonly the influences of pre-stress on magnetostrictive strain and magnetization curves, butalso nonlinear magneto-mechanical coupling effect of magnetostrictive materialsystematically, such as the Young’s modulus varying with stress and magnetic field. In theproposed constitutive model, the key material constants are not chosen to obtain a good fitwith the experimental data, but aremeasured directly by experiments, such as the saturationmagnetization, saturation magnetostrictive coefficient, saturation Young’s modulus, linearmagnetic susceptibility and so on. In addition, the forms of the new constitutive relationsare simpler than the existing constitutive models. Therefore, this model could be appliedconveniently in the engineering applications.

关键词： magnetostrictive materials one-dimensional constitutive relations galfenolrods nonlinear magneto-mechanical coupling

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