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铁电铁弹材料常在极化态下工作,其性能受材料的微结构直接影响。铁电材料在自极化过程中自变形和自极化方向的不唯一性,以及多晶材料中存在各种不同方向晶界的不可避免性,使得其自极化稳定构形具有极其复杂的结构。根据铁电铁弹材料单晶特性,提出在自极化过程中该材料能量密度是变形梯度和电位移向量的非凸函数。并且从能量角度出发,导出铁电铁弹材料的自极化稳定构形所应满足的必要条件
Ferroelectric iron and steel materials often work in the polarization state, the performance of the material directly affected by the microstructure. The non-uniqueness of self-deforming and self-polarization of ferroelectric materials in self-polarization process and the unavoidability of various directional grain boundaries in polycrystalline materials make their self-polarization stable configuration extremely complicated structure. According to the single crystal characteristics of ferroelectric iron-bullet material, the energy density of the material is a non-convex function of the deformation gradient and the electric displacement vector in the process of self-polarization. And from the energy point of view, derive the necessary conditions for self-polarization stable configuration of ferroelectric iron-bullet material