An analysis of surface acoustic wave propagation in a plate of functionally graded materials with a layered model  

作　　者：GAO LiMing WANG Ji ZHONG Zheng DU JianKe 

机构地区：[1]College of Aerospace Engineering and Mechanics,Tongji University,Shanghai 200092,China [2]Piezoelectric Device Laboratory,School of Engineering,Ningbo University,Ningbo 315211,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第2期165-175,共11页中国科学：物理学、力学、天文学（英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos.10432030, 10125209, and 10572065) ;the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions, Ministry of Education of China;Qianjiang River Fellow Fund established by Zhejiang Provincial Government and Ningbo University and administered by Ningbo University, Zhejiang, China

摘　　要：In a homogeneous plate, Rayleigh waves will have a symmetric and anti-symmetric mode regarding to the mid-plane with different phase velocities. If plate properties vary along the thickness, or the plate is of functionally graded material (FGM), the symmetry of modes and frequency behavior will be modified, thus producing dif-ferent features for engineering applications such as amplifying or reducing the velocity and deformation. This kind of effect can also be easily realized by utilizing a layered structure with desired material properties that can produce these effects in terms of velocity and displacements, since Rayleigh waves in a solid with gen-eral material property grading schemes are difficult to analyze with known methods. Solutions from layered structures with exponential and polynomial property grad-ing schemes are obtained from the layered model and comparisons with known analytical results are made to validate the method and examine possible applica-tions of such structures in engineering.In a homogeneous plate, Rayleigh waves will have a symmetric and anti-symmetric mode regarding to the mid-plane with different phase velocities. If plate properties vary along the thickness, or the plate is of functionally graded material (FGM), the symmetry of modes and frequency behavior will be modified, thus producing different features for engineering applications such as amplifying or reducing the velocity and deformation. This kind of effect can also be easily realized by utilizing a layered structure with desired material properties that can produce these effects in terms of velocity and displacements, since Rayleigh waves in a solid with general material property grading schemes are difficult to analyze with known methods. Solutions from layered structures with exponential and polynomial property grading schemes are obtained from the layered model and comparisons with known analytical results are made to validate the method and examine possible applications of such structures in engineering.

关 键 词：RAYLEIGH WAVE surface acoustic WAVE vibration PLATE LAYERED structure functionally GRADED material (FGM) 

分 类 号：O422[理学—声学]