SHEAR-HORIZONTAL WAVES IN A ROTATED Y-CUT QUARTZ PLATE WITH AN ISOTROPIC ELASTIC LAYER OF FINITE THICKNESS  

作　　者：Lei Yang Jianke Du Ji Wang Jiashi Yang 

机构地区：[1]Piezoelectric Device Laboratory,School of Engineering,Ningbo University,818 Fenghua Road,Ningbo Zhejiang 315211,China [2]Department of Engineering Mechanics,University of Nebraska,Lincoln,NE 68588-0526,USA

出　　处：《Acta Mechanica Solida Sinica》2012年第1期82-89,共8页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 11072116,10772087 and 10932004);Key Team of Technological Innovation of Zhejiang Province (Grant 2009R50025);Key Industrial Project of Bureau of Science and Technology,City of Ningbo (No. 2005B100015);grants from the Bureau of Science and Technology,City of Ningbo,through the International Collaboration Initiative (Project 2007B10052);Sponsored by K.C.Wong MagnaFund in Ningbo University

摘　　要：We study shear-horizontal （SH） waves in a rotated Y-cut quartz plate carrying an isotropic elastic layer of finite thickness.The three-dimensional theories of anisotropic elasticity and isotropic elasticity are used for the quartz plate and the elastic layer,respectively.A transcen-dental frequency equation that determines the dispersion relations of the waves is obtained.The dispersion relations are obtained and plotted by solving the frequency equation using MATLAB.Approximate dispersion relations are also obtained analytically for two special cases.One is for long waves whose wavelength is much larger than the plate thickness.The other is for the case of a very thin elastic layer.The effects of the elastic layer on the dispersion relations are exam-ined.The results obtained are fundamental and useful to acoustic wave sensors for measuring the mechanical and geometric properties of the elastic layer.We study shear-horizontal （SH） waves in a rotated Y-cut quartz plate carrying an isotropic elastic layer of finite thickness.The three-dimensional theories of anisotropic elasticity and isotropic elasticity are used for the quartz plate and the elastic layer,respectively.A transcen-dental frequency equation that determines the dispersion relations of the waves is obtained.The dispersion relations are obtained and plotted by solving the frequency equation using MATLAB.Approximate dispersion relations are also obtained analytically for two special cases.One is for long waves whose wavelength is much larger than the plate thickness.The other is for the case of a very thin elastic layer.The effects of the elastic layer on the dispersion relations are exam-ined.The results obtained are fundamental and useful to acoustic wave sensors for measuring the mechanical and geometric properties of the elastic layer.

关 键 词：SH waves quartz plate elastic layer dispersion relation 

分 类 号：O413.1[理学—理论物理] TN124.4[理学—物理]