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An analytical and explicit multi-field coupled nonlinear constitutive model for Terfenol-D giant magnetostrictive material

机译:Terfenol-D巨型磁致伸缩材料的解析和显式多场耦合非线性本构模型

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摘要

For a giant magnetostrictive rod under the action of multiple physical loads, such as an external magnetic field, temperature and axial pre-stress, this paper proposes a general one-dimensional nonlinear magneto-thermo-mechanical coupled constitutive model. This model is based on the Taylor expansion of the elastic Gibbs free energy of giant magnetostrictive material and thermodynamic relations from the perspective of macro continuum mechanics. Predictions made using this model are in good agreement with experimental data for magnetization and the magnetostrictive strain curve under the collective effect of pre-stress and temperature. Additionally, the model overcomes the drawback of the existing magneto-thermo-mechanical constitutive model that cannot accurately predict the magnetization and magnetostrictive strain curve for different temperatures and pre-stresses. Furthermore, the constitutive model does not contain an implicit function and is compact, and can thus be applied in both situations of tensile and compressive stress and to both positive and negative magnetostrictive materials, and it is thus appropriate for engineering applications. Comprehensive analysis shows that the model fully describes the nonlinear coupling properties of a magnetic field, magnetostrictive strain and elasticity of a magnetostrictive material subjected to stress, a magnetic field and heat.
机译:对于巨型磁致伸缩杆在多种物理载荷(例如外部磁场,温度和轴向预应力)作用下的行为,本文提出了一种通用的一维非线性磁热机械耦合本构模型。从宏观连续力学的角度出发,该模型基于巨型磁致伸缩材料的弹性吉布斯自由能的泰勒展开和热力学关系。使用该模型所作的预测与在预应力和温度共同作用下的磁化强度和磁致伸缩应变曲线的实验数据非常吻合。此外,该模型克服了现有磁热机械本构模型的缺点,该模型无法准确预测不同温度和预应力下的磁化强度和磁致伸缩应变曲线。此外,本构模型不包含隐函数并且是紧凑的,因此可以在拉伸应力和压缩应力以及正负磁致伸缩材料中应用,因此适用于工程应用。综合分析表明,该模型充分描述了磁场,磁致伸缩应变和磁致伸缩材料在应力,磁场和热量作用下的弹性的非线性耦合特性。

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