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张乐乐, 刘响林, 刘金喜. 压电纳米板中SH型导波的传播特性[J]. 力学学报, 2019, 51(2): 503-511. DOI: 10.6052/0459-1879-18-413
引用本文: 张乐乐, 刘响林, 刘金喜. 压电纳米板中SH型导波的传播特性[J]. 力学学报, 2019, 51(2): 503-511. DOI: 10.6052/0459-1879-18-413
Lele Zhang, Xianglin Liu, Jinxi Liu. PROPAGATION CHARACTERISTICS OF SH GUIDED WAVES IN A PIEZOELECTRIC NANOPLATE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 503-511. DOI: 10.6052/0459-1879-18-413
Citation: Lele Zhang, Xianglin Liu, Jinxi Liu. PROPAGATION CHARACTERISTICS OF SH GUIDED WAVES IN A PIEZOELECTRIC NANOPLATE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 503-511. DOI: 10.6052/0459-1879-18-413

压电纳米板中SH型导波的传播特性

PROPAGATION CHARACTERISTICS OF SH GUIDED WAVES IN A PIEZOELECTRIC NANOPLATE

  • 摘要: 压电纳米材料具有机电耦合性强、功耗低和反应灵敏等独特性能,且能满足工程对压电器件微型化的要求,从而在传感、微纳米机电系统和柔性电子器件等领域展现出了广阔的应用前景. 高比表面积引起的表面效应是压电纳米材料最重要的结构特征之一,其对材料的整体力学性质起着决定性的作用.表面效应会导致应力和电位移在压电表面的两侧出现间跃,故传统的力电场连续性条件将不再适用.考虑表面为不计厚度却拥有独立材料参数的薄层,采用表面压电模型计及表面弹性、表面压电性、表面介电性和表面密度的影响,本文研究了压电纳米板中SH型导波的传播特性,给出了板边界处的非典型力电平衡条件,得到了频散方程的解析表达,并结合数值算例详细讨论了表面材料参数和结构尺寸对对称和反对称频散模态的影响.结果表明:SH型导波在压电纳米板中的传播具有明显的尺寸相关性,即当板厚很小时,表面效应会显著改变其频散行为,而随着板厚的增大,表面效应的影响会不断减弱直至可忽略不计.

     

    Abstract: Piezoelectric nanomaterials have many unique properties, such as enhanced electromechanical coupling, low power dissipation and sensitive response, etc. Also such materials can meet the demand of microminiaturization of piezoelectric devices. These advantages make them strong candidates for applications in the fields of sensing, nanoelectromechanical systems (NEMS), flexible electronic device, and so on. As one of the most important features of nanomaterials, surface effect which resulted from the high ratio of surface to volume commonly plays a dominant role in the overall mechanical properties of piezoelectric nanomaterials. Due to the presence of surface effect, the bulk stress and bulk electric displacement jump across the piezoelectric surface, thus the classical continuity conditions are invalid. In this paper, the dispersion characteristics of SH guided waves propagating in a monolayer piezoelectric nanoplate are investigated with consideration of the surface effect. A surface is regarded as a two-dimensional continuum of zero thickness which possesses own material properties, and the influences of surface elasticity, surface piezoelectricity, surface permittivity and surface density are accounted into the non-classical boundary conditions of the piezoelectric nanoplate via the surface piezoelectricity model. The analytical expressions of dispersion relations are derived, and the numerical examples are provided to discuss the impacts of surface material parameters and nanoplate thickness on the symmetric and antisymmetric modes. Analysis results show that the propagation characteristics of SH guided waves exhibit obvious size-dependence. The surface effect has a significant impact on dispersion behaviors when the nanoplate thickness is small enough, while they may become more and more negligible as the thickness increases.

     

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