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.
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.
出处
《固体力学学报》
CAS
CSCD
北大核心
2012年第2期146-152,共7页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(10972147)
河北省教育厅科研计划(2008143
2011123)资助
关键词
功能梯度材料
压电材料
SH波
频散
functionally graded material, piezoelectric materiai,SH waves, dispersion relation
