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A thermodynamic approach to hysteretic models in ferroelectrics

机译：铁电气滞回模型的热力学方法

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The purpose of the paper is to establish a constitutive model for the hysteretic properties in ferroelectrics. Both the polarization and the electric field are simultaneously independent variables so that the constitutive functions depend on both of them. This viewpoint is naturally related to the fact that an hysteresis loop is a closed curve surrounding the region of interest. For the sake of generality, the deformation of the material and the dependence on the temperature are allowed to occur. The constitutive functions are required to be consistent with the second law of thermodynamics. Among other results, the second law implies a general property on the relation between the polarization and the electric field via a differential equation. This equation shows a dependence fully characterized by the free energy and a dependence which is related to the dissipative character of the hysteresis. As a consequence, different hysteresis models may have the same free energy. Models compatible with thermodynamics are then determined by appropriate selections of the free energy and of the dissipative part. Correspondingly, major and minor hysteretic loops are plotted.
机译：本文的目的是建立一个用于铁电池滞后性质的本构体模型。两个极化和电场都是同时独立的变量，使得本构体函数依赖于它们两者。该观点自然与滞后回路是围绕感兴趣区域的闭合曲线的事实。为了普遍性地，允许发生材料的变形和对温度的依赖性。必须与第二热力学的第二定律保持一致。除其他结果之外，第二法律意味着通过微分方程对极化和电场之间的关系的一般性。该方程显示了自由能的完全表征的依赖性以及与滞后的耗散特征有关的依赖性。结果，不同的滞后模型可能具有相同的自由能。 Models compatible with thermodynamics are then determined by appropriate selections of the free energy and of the dissipative part.相应地，绘制了主要和次要的滞后环。

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