Strain gradient and electric field gradient effects in piezoelectric cantilever beams
Strain gradient and electric field gradient effects in piezoelectric cantilever beams
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DOI：
10.1515/jmbm-2015-0014
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发表时间：
2015-08
影响因子：
1.8
通讯作者：
Y. Yue;Kai Xu;E. Aifantis
中科院分区：
文献类型：
--
作者：
Y. Yue;Kai Xu;E. Aifantis
摘要 提出了一种具有应变梯度和电梯度效应的压电梁模型。假设以应变、应变梯度、电场和电场梯度为自变量的能量变分原理来建立控制方程和边界条件。此外，引入了两个应变梯度系数和一个电场梯度系数来解释底层微观结构的高阶耦合效应。然后解决悬臂梁的弯曲问题来说明该理论。发现悬臂梁的偏转可能很大程度上取决于如此引入的梯度效应。由于机电耦合，所产生的电场也可能受到应变梯度的影响。然而，电场梯度对电场的影响有限。
Abstract A piezoelectric beam model with strain gradient and electric gradient effects is proposed. An energy variational principle with strain, strain gradient, electric field, and electric field gradient considered as independent variables is postulated to develop the governing equations and boundary conditions. Moreover, two strain gradient coefficients and one electric field gradient coefficient are introduced to account for higher order coupling effects of underlying microstructure. Then the bending problem of a cantilever beam is solved to illustrate the theory. It is found that the deflection of the cantilever may depend strongly on the so-introduced gradient effects. As a result of the electromechanical coupling, the generated electric field may also be affected by the strain gradient. However, electric field gradient has a limited effect on the electric field.