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Size-dependent electromechanical responses of a bilayer piezoelectric microbeam

机译：双层压电微沟的尺寸依赖性机电响应

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摘要

On the basis of the couple stress piezoelectric theory including flexoelectric effects, a size-dependent model of a bilayer microbeam consisting of a piezoelectric material layer and an elastic layer has been established. The governing equations along with the boundary conditions of the microbeam model have been obtained from variation principle. The microbeam bending problems have been solved to analyse the electromechanical coupling responses to the applied concentrated force and voltage. Numerical results show that whether under the concentrated force or the voltage, the influence of flexoelectric effects on the equivalent piezoelectric response is larger than that of rotation gradient elastic effects when the size of the microbeam is much larger than the material length scale parameters. However, with the continuous decrease of the beam characteristic size scale, rotation gradient elastic effects have a stronger impact on the electromechanical responses than flexoelectric effects, which leads to a rapid decrease of the equivalent piezoelectric responses. The result also shows that the contribution of flexoelectric effects on the equivalent piezoelectric response increases when the beam size diminishes, which leads to a significant surge of the electromechanical responses compared to the model under the classical piezoelectric theory.
机译：基于包括柔性电效应的耦合压力压电理论，已经建立了由压电材料层和弹性层组成的双层微沟的尺寸依赖性模型。从变异原理获得了控制方程以及微磁孔模型的边界条件。已经解决了微沟弯曲问题以分析对所施加的浓缩力和电压的机电耦合响应。数值结果表明，是否在浓缩力或电压下，当微沟的尺寸远大于材料长度比参数时，柔性电效应对等效压电响应的影响大于旋转梯度弹性效果。然而，随着光束特性尺寸尺度的连续降低，旋转梯度弹性效果对机电响应的较强影响力而不是挠性电效应，这导致等效的压电反应的快速降低。结果还表明，当光束尺寸减小时，挠度电效应对等效压电响应的贡献增加，这导致机电响应的显着浪涌与经典压电理论下的模型相比。

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