中文摘要：

研究了功能梯度压电上、下半空间和均匀压电层组成的夹层结构中SH波的传播性能,上、下功能梯度半空间的材料性能沿垂直于界面方向以指数函数形式变化.首先推导了SH波传播时电弹场的解析解,然后利用界面条件得到了行列式形式的频散方程.基于推导的频散方程,通过数值算例表明了材料性能梯度变化、压电层厚度和材料组合方式对相速度的影响,结果对功能梯度压电材料在声波器件中的应用有参考价值.

英文摘要：

This paper investigates shear horizontal （SH） waves propagating in a sandwich structure consisting of a piezoelectric layer and two different functionally graded piezoelectric half-spaces. The mate rial properties of the piezoelectric half-spaces vary exponentially in the direction perpendicular to the inter- faces. The closed-form expressions of electro-elastic fields for SH waves are derived. By using the continu- ous conditions at the interfaces,the dispersion equations are given in determinant form. Based on the disper- sion equations,the numerical examples are presented to show the effects of variations of material proper- ties, piezoelectric layer thickness and different combinations of materials on the phase velocity. The ob- tained results are useful for the application of functionally graded piezoelectric materials to acoustic wave devices such as plate resonators,filters and sensors.