Electroelastic equations describing slow hysteresis in polarized ferroelectric ceramic plates
Electroelastic equations describing slow hysteresis in polarized ferroelectric ceramic plates
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DOI：
10.1063/1.367482
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发表时间：
1998-10
影响因子：
3.2
通讯作者：
Liping Huang;H. Tiersten
中科院分区：
文献类型：
--
作者：
Liping Huang;H. Tiersten
通过在热力学状态函数中引入一个内变量，将旋转不变的电弹性方程推广到极化铁电陶瓷板的慢滞回效应。所有材料的不可逆性被认为是铁电极化电场不可逆性的结果。由于我们关心的是最慢的可能的滞后，我们忽略了演化方程，并采取已知的不可逆的厚度极化电场饱和曲线作为起始曲线。在获得一般非线性三维方程后，它们被简化为线性应变，然后是平面应力，因为我们可用的所有实验数据都来自对薄宽梁的应变测量，该梁由施加到表面上非常薄的极化铁电陶瓷致动器的电压所强制。新的不可逆材料系数是从一个主要的磁滞回线上的数据沿着与饱和极化-电场系数。
Rotationally invariant electroelastic equations are extended to account for slow hysteretic effects in polarized ferroelectric ceramic plates by employing an internal variable in a thermodynamic state function. All material irreversibility is taken to be a consequence of the ferroelectric polarization-electric-field irreversibility. Since we are concerned with the slowest possible hysteresis, we ignore the evolution equation and take the known irreversible thickness polarization-electric-field saturation curve as the starting curve. After the general nonlinear three-dimensional equations are obtained, they are reduced to linear strain and then plane stress because all experimental data available to us are from strain measurements on a thin wide beam forced by voltages applied to very thin polarized ferroelectric ceramic actuators on the surfaces. The new irreversible material coefficients are obtained from data on one major hysteresis loop along with the coefficients in the saturation polarization-electri...