A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics
A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics
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DOI：
10.1016/s0020-7225(02)00033-2
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发表时间：
2002-08
影响因子：
6.6
通讯作者：
R. McMeeking;C. Landis
中科院分区：
文献类型：
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作者：
R. McMeeking;C. Landis
开发了由于多晶材料的多轴机械和电负载而引起的铁电切换的唯象本构定律。该定律的框架基于运动硬化塑性理论，并在机械应力和电场空间中具有切换表面，决定何时可以进行非线性响应。修改后的电场空间中的开关表面的尺寸和形状在非线性行为期间保持固定，但其中心四处移动，因此由运动硬化过程控制。一般来说，剩余极化和剩余应变用作控制开关表面中心如何移动的内部变量。然而，本文提出的形式在残余应变和残余极化之间具有一对一的关系，简化了本构定律，并允许残余极化用作控制运动学效应的唯一内部变量。本构定律成功地再现了铁电陶瓷的磁滞和蝶形回线。磁滞回线和蝶形回线对平行于电场的固定压应力的应用做出适当的响应。此外，该定律成功地处理了由于施加与偏振方向成一定角度的电场而导致的剩余偏振旋转。
A phenomenological constitutive law for ferroelectric switching due to multi-axial mechanical and electrical loading of a polycrystalline material is developed. The framework of the law is based on kinematic hardening plasticity theory and has a switching surface in the space of mechanical stress and electric field that determines when non-linear response is possible. The size and shape of the switching surface in a modified electric field space remains fixed during non-linear behavior but its center moves around and thus is controlled by a kinematical hardening process. In general, the remanent polarization and the remanent strain are used as the internal variables that control how the center of the switching surface moves. However, the form presented in this paper has a one-to-one relationship between the remanent strain and the remanent polarization, simplifying the constitutive law and allowing remanent polarization to be used as the only internal variable controlling the kinematic effects. The constitutive law successfully reproduces hysteresis and butterfly loops for ferroelectric ceramics. The hysteresis and butterfly loops respond appropriately to the application of a fixed compressive stress parallel to the electric field. In addition, the law successfully handles remanent polarization rotation due to the application of electric field at an angle to the polarization direction.