The magnetization and magnetostrictive strain of giant magnetostrictive materials exhibit a complex nonlinear trend under the coupling of multiple fields, including magnetic field, temperature field, and prestress field. To enhance prediction accuracy, we propose a three-dimensional magnetic-thermal-force coupled nonlinear multi-scale hysteresis vector model. This model is derived from the principles of thermodynamics and continuum mechanics, taking into account the interactions among magnetic domains, grains, polycrystals, and macroscopic scales. It combines the volume-averaging principle of magnetic domain microscopy with the generalized Jiles-Atherton hysteresis model. The predicted hysteresis magnetization and magnetostrictive strain curves obtained from this model are in good agreement with experimental results. By analyzing the predicted hysteresis magnetization and magnetostrictive strain under different conditions, we demonstrate that our proposed model can comprehensively describe the effects of temperature and prestress on the multi-field coupled hysteresis behaviors of giant magnetostrictive materials. Moreover, it provides theoretical guidance for both macroscopic and microscopic optimization in designing active devices incorporating super magnetostrictive materials.

中文翻译：

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考虑多场耦合的超磁致伸缩材料多尺度磁滞本构模型研究

超磁致伸缩材料的磁化强度和磁致伸缩应变在磁场、温度场、预应力场等多个场的耦合下表现出复杂的非线性趋势。为了提高预测精度，我们提出了三维磁热力耦合非线性多尺度磁滞矢量模型。该模型源自热力学和连续介质力学原理，考虑了磁畴、晶粒、多晶和宏观尺度之间的相互作用。它将磁域显微镜的体积平均原理与广义 Jiles-Atherton 磁滞模型相结合。从该模型获得的预测磁滞磁化强度和磁致伸缩应变曲线与实验结果非常吻合。通过分析不同条件下预测的磁滞磁化强度和磁致伸缩应变，证明我们提出的模型可以全面描述温度和预应力对超磁致伸缩材料多场耦合磁滞行为的影响。此外，它为设计结合超磁致伸缩材料的有源器件的宏观和微观优化提供了理论指导。