SH wave analysis in nanoscale piezoelectric composite loaded with viscous liquid

This article intents to study the SH wave propagation in nano-structure solid composite having piezoelectric plate laying over elastic substrate. The piezoelectric layer is superimposed with viscous liquid. The constitutive equations involve the higher-order stress tensor that gives rise to micro-inertia effect. Dispersion and attenuation curve have been plotted to unravel the peculiarities of various parameters viz., thickness of piezoelectric plate at nanoscale level, dimensionless heterogeneity of elastic half-space, gradient coefficient and micro-inertia component of both the piezoelectric and elastic medium, and viscosity coefficient of liquid layer. Also, the impact of plate thickness on the electromechanical coupling parameter is depicted. To highlight the differences between the dispersion relations of open and short circuit cases, curves have been plotted. Remarkable impact of these parameters has been observed and discussed extensively by using numerical example. This study finds its application in analyzing and designing of nanoscaled SAW devices most suitable for liquid sensing.本文旨在研究铺设于弹性基底之上的压电薄板所构成的纳米结构固体复合材料中的剪切水平波（shear horizontal wave, SH wave）传播问题。该压电层覆有粘性液体层，其本构方程引入了高阶应力张量，由此产生微惯性效应。本文绘制了频散与衰减曲线，以揭示各类参数的特性，具体包括纳米尺度下压电薄板的厚度、弹性半空间的无量纲非均质性、梯度系数、压电与弹性介质的微惯性分量，以及液体层的粘性系数。同时，本文还阐述了薄板厚度对机电耦合参数的影响。为凸显开路与短路工况下频散关系的差异，本文绘制了对应对比曲线。通过数值算例，本文对上述参数的显著影响进行了观测与深入讨论。本研究可用于分析与设计适用于液体传感的纳米级声表面波（surface acoustic wave, SAW）器件。