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首页> 外文期刊>Journal of Applied Physics >Size effects on electromechanical coupling fields of a bending piezoelectric nanoplate due to surface effects and flexoelectricity
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Size effects on electromechanical coupling fields of a bending piezoelectric nanoplate due to surface effects and flexoelectricity

机译:由于表面效应和弯曲电,尺寸对弯曲压电纳米板的机电耦合场的影响

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摘要

Due to large surface to volume ratio and manifest strain gradients typically present in nanostructures, it is essential to incorporate both surface effects and flexoelectricity in studying the size-dependent electromechanical coupling behaviors of piezoelectric materials at the nano-scale. In the current work, a modified Kirchhoff plate model with the consideration of residual surface stress, surface elasticity, surface piezoelectricity, and flexoelectricity is developed to investigate the electroelastic responses and vibrational behaviors of a bending piezoelectric nanoplate (PNP). The governing equations and the corresponding boundary conditions accounting for both the surface effects and the flexoelectricity are derived by the variational principle. Ritz approximate solutions of the static bending and the free vibration indicate that these nano-scale features are more prominent for thinner plates with smaller thickness. The simulation results also reveal that the influence of the flexoelectricity and the surface effects upon the bending behaviors of the PNP depends on the applied electrical loading and the plate dimensions. Moreover, it is also observed that the frequency tuning of PNP-based nanoresonators by adjusting applied electrical load can be modified by both the flexoelectricity and the surface effects. The current work is expected to provide increased understanding on the theoretical basis for the design and applications of PNP-based nanodevices.
机译:由于纳米结构中通常存在较大的表面体积比和明显的应变梯度,因此在研究纳米级压电材料的尺寸相关的机电耦合行为时,必须兼顾表面效应和柔电性。在当前的工作中,考虑到残余表面应力,表面弹性,表面压电性和柔电性,开发了一种改进的基尔霍夫板模型,以研究弯曲压电纳米板(PNP)的电弹性响应和振动行为。通过变分原理推导了兼顾表面效应和柔电性的控制方程式和相应的边界条件。静态弯曲和自由振动的Ritz近似解表明,这些纳米级特征对于厚度更薄的薄板更为突出。仿真结果还表明,柔性电和表面效应对PNP弯曲行为的影响取决于所施加的电负载和板的尺寸。此外,还观察到,通过调节施加的电负载,可以通过挠性电和表面效应两者来修改基于PNP的纳米谐振器的频率调谐。预期当前的工作将为基于PNP的纳米器件的设计和应用提供理论基础上的更多理解。

著录项

  • 来源
    《Journal of Applied Physics》 |2014年第13期|134308.1-134308.13|共13页
  • 作者

    Zhengrong Zhang; Liying Jiang;

  • 作者单位

    Department of Mechanical and Materials Engineering, The University of Western Ontario, London,Ontario N6A 5B9, Canada;

    Department of Mechanical and Materials Engineering, The University of Western Ontario, London,Ontario N6A 5B9, Canada;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
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