中文摘要：

物理实验证实铁电陶瓷的畴变是一个复杂的物理渐变过程,因此论文中引入了电畴翻转体积分数来表征这一过程,以电畴翻转体积分数为内变量,建立了考虑电畴翻转体积分数的铁电材料本构关系。接着提出了单电畴力学模型,把极化后的铁电试样看作横观各向同性单电畴的均匀材料。利用考虑电畴翻转体积分数的铁电材料本构关系,根据部分实验数据,拟合出电畴翻转驱动力与电畴翻转体积分数之间的强化关系曲线。然后根据标定出的强化关系曲线计算铁电试样在力电载荷下的响应。理论预测与实验结果符合良好。

英文摘要：

Many physical experiments have shown that the domain switching in a ferroelectric material is a complicated evolution process. According to this mechanism, the volume fraction of domain switching was introduced in the constitutive law of ferroelectric material and used to study the nonlinear constitutive behavior of ferroelectric body. A single domain mechanical model was proposed. The poled ferroelectric specimen was considered as a transversely isotropic single domain. Using the partial experimental results, the hardening relation between the driving force of domain switching and the volume fraction of domain switching was calibrated, and the electromechanical response was calculated on basis of the calibrated hardening relation. The results involve the electric butterfly shaped curves of axial strain versus axial electric field, the hysteresis loops of electric displacement versus electric filed. The present theoretic prediction agrees reasonably with experimental results.