Electromechanical response of a curved piezoelectric nanobeam with the consideration of surface effects
Electromechanical response of a curved piezoelectric nanobeam with the consideration of surface effects
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DOI：
10.1088/0022-3727/44/36/365301
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发表时间：
2011-09
期刊：
影响因子：
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通讯作者：
Zhi Yan;Liying Jiang
中科院分区：
文献类型：
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作者：
Zhi Yan;Liying Jiang
本文通过基于表面层的模型和广义杨拉普拉斯方程，研究了弯曲压电纳米梁在考虑表面效应的情况下的机电响应。对于纳米压电结构，除了弹性纳米材料的表面残余应力和表面弹性外，表面效应还包括表面压电性。利用欧拉-伯努利曲梁理论，得到了弯曲悬臂梁在机械载荷和电载荷作用下的电弹性场的显式解。为了在梁上施加适当的边界条件，推导了有效轴力、剪力和弯矩。结果表明，表面效应对弯曲压电纳米梁的电弹性场和压电响应起着重要的作用。研究还发现，尽管在某些情况下，表面残余应力、表面弹性和表面压电性的影响很小，但它们之间的耦合可能是剧烈的。本研究将有助于弯曲梁基压电纳米器件的设计和应用，如弯曲纳米线/纳米带或纳米环作为纳米开关或纳米致动器用于位移控制目的。
This work investigates the electromechanical response of a curved piezoelectric nanobeam with the consideration of surface effects through the surface-layer-based model and the generalized Young–Laplace equations. For nanoscale piezoelectric structures, the surface effects also include surface piezoelectricity in addition to the residual surface stress and surface elasticity for elastic nanomaterials. A Euler–Bernoulli curved beam theory is used to get the explicit solutions for the electroelastic fields of a curved cantilever beam when subjected to mechanical and electrical loads. In order to apply the appropriate boundary conditions on the beam, effective axial force, shear force and moment are derived. The results indicate that the surface effects play a significant role in the electroelastic fields and the piezoelectric response of the curved piezoelectric nanobeam. It is also found that the coupling of the residual surface stress, the surface elasticity and the surface piezoelectricity may be dramatic despite that the influence of the individual one is small under some circumstances. This study is expected to be useful for design and applications of curved beam based piezoelectric nanodevices, such as the curved nanowires/nanobelts or nanorings as nanoswitches or nanoactuators for displacement control purpose.