PMN-PT夹层弹性半空间结构中SH波的传播

Propagation of SH waves in sandwich structures consisting of PMN-PT single crystal layer and elastic half-spaces

分析了弹性上下半空间和PMN-PT单晶层组成的夹层结构中SH波的传播性质,PMN-PT单晶沿[011]c方向极化,宏观上呈mm2对称,且晶体沿角度θ方向切割。基于正交各向异性压电材料和各向同性弹性材料的基本方程,得到了夹层结构中SH波传播时行列式形式的频散方程。通过对数值算例进行分析可以看出,PMN-PT单晶的切割角度和弹性材料属性对结构中的相速度有很大影响,因此波的某些传播性能可以通过材料的设计以及晶体切割的方向来实现,这些结论为声表面波器件的开发和应用提供了理论依据。

The propagation of SH waves in a sandwich structure consisting of a PMN-PT single crystal layer and two different elastic half-spaces is analytically investigated. The PMN-PT piezoelectric crystals are being polarized along [011]c of the cubic reference directions so that the effective macroscopic symmetries is mm2. The cutting angle of the PMN-PT single crystal is 0. Based on the basic equations of the orthotropic piezoelectric material and elastic material, the dispersion equations are obtained in determinant form by interface continuous conditions. The numerical examples are presented to show that the phase velocity is sensitive to the cutting angle of the PMN-PT and the material properties. The results of the paper are useful and important for surface acoustic wave devices.