Abstract This paper presents a three-dimensional constitutive model for predicting nonlinear magnetostrictive strain and magnetization responses for giant magnetostrictive materials subject to a variety of mechanical stresses and magnetic fields at various thermal environments. It is formulated based on a microscopically based phenomenological approach by utilizing a Gibbs free energy following by a Taylor series expansion with respect to stress, magnetization and temperature fields. The macroscopic nonlinear elastic strain depended on the magnetized state of each magnetic domain is derived through a volume average over microscopic magnetostrictions of magnetic domains. A generalized Jiles-Atherton model is used to describe hysteresis mechanism based on domain wall motion. The constitutive behavior obtained using the current model are correlated with experimental results. Parametric studies demonstrate that the proposed model is able to comprehensively examine the effect of compressive stresses and temperature deviations on the overall coupled hysteresis behavior for a giant magnetostrictive material subject to a dynamic magnetic loading. The proposed model will be useful for evaluating the contributions of different external stimuli, particularity for coupled stimuli, in giant magnetostrictive materials on their macroscopic responses. The constitutive relations are necessary for design of active devices that often contains giant magnetostrictive materials.

中文翻译：

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巨磁致伸缩材料耦合磁-热-机械滞回行为的本构模型

摘要 本文提出了一种三维本构模型，用于预测巨磁致伸缩材料在各种热环境下受到各种机械应力和磁场的非线性磁致伸缩应变和磁化响应。它是基于微观现象学方法制定的，利用吉布斯自由能，然后是关于应力、磁化强度和温度场的泰勒级数展开。取决于每个磁畴的磁化状态的宏观非线性弹性应变是通过磁畴微观磁致伸缩的体积平均值得出的。广义的 Jiles-Atherton 模型用于描述基于畴壁运动的滞后机制。使用当前模型获得的本构行为与实验结果相关。参数研究表明，所提出的模型能够全面检查压缩应力和温度偏差对受动态磁载荷影响的巨磁致伸缩材料的整体耦合磁滞行为的影响。所提出的模型将有助于评估不同外部刺激的贡献，耦合刺激的特殊性，在巨磁致伸缩材料的宏观响应中。本构关系对于设计通常包含巨磁致伸缩材料的有源器件是必要的。参数研究表明，所提出的模型能够全面检查压缩应力和温度偏差对受动态磁载荷影响的巨磁致伸缩材料的整体耦合磁滞行为的影响。所提出的模型将有助于评估不同外部刺激的贡献，耦合刺激的特殊性，在巨磁致伸缩材料的宏观响应中。本构关系对于设计通常包含巨磁致伸缩材料的有源器件是必要的。参数研究表明，所提出的模型能够全面检查压缩应力和温度偏差对受动态磁载荷影响的巨磁致伸缩材料的整体耦合磁滞行为的影响。所提出的模型将有助于评估不同外部刺激的贡献，耦合刺激的特殊性，在巨磁致伸缩材料的宏观响应中。本构关系对于设计通常包含巨磁致伸缩材料的有源器件是必要的。耦合刺激的特殊性，在巨磁致伸缩材料的宏观响应上。本构关系对于设计通常包含巨磁致伸缩材料的有源器件是必要的。耦合刺激的特殊性，在巨磁致伸缩材料的宏观响应上。本构关系对于设计通常包含巨磁致伸缩材料的有源器件是必要的。