A thermodynamic and micro-statistical model is proposed to explain the magnetization and magnetostriction mechanisms for isotropic ferromagnetic materials. Here a nonlinear magnetostrictive expression enhances the characterization of the nonlinear magnetic-mechanical effect, and the Brillouin function makes it possible to describe the relationship between the equivalent field and magnetization for various types of materials. Through detailed comparisons with the recent models of Wu et al. [ Appl. Phys. Lett. 115 (2019) 162406] and Daniel [ Eur. Phys. J.: Appl. Phys. 83 (2018) 30904], it is confirmed that the proposed model can provide greater physical insight and a more accurate description of the complex magnetostriction and magnetization behaviors, especially the complex nonlinearity of stress effects.

中文翻译：

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铁磁性材料在施加应力和磁场作用下的磁化和磁致伸缩非线性理论模型

提出了一个热力学和微观统计模型来解释各向同性铁磁材料的磁化和磁致伸缩机理。在这里，非线性磁致伸缩表达式增强了非线性磁机械效应的特性，布里渊函数使描述各种类型材料的等效磁场与磁化强度之间的关系成为可能。通过与Wu等人的最新模型进行详细比较。[应用 物理 来吧 115（2019）162406]和Daniel [欧元。物理 J .：应用 物理 83（2018）30904]，证实了所提出的模型可以提供更大的物理洞察力和对复杂的磁致伸缩和磁化行为，特别是应力效应的复杂非线性的更准确描述。