各向异性压电介质摩擦接触界面波动特性分析  

Characteristics of Elastic Waves Through Frictional Contact Interfaces Between 2 Anisotropic Piezoelectric Materials

作　　者：路桂华[1] 赵曼[2] 岳强[1] 

机构地区：[1]山东农业大学水利土木工程学院,山东泰安271018 [2]石家庄铁道大学土木工程学院,石家庄050043

出　　处：《应用数学和力学》2017年第4期421-431,共11页Applied Mathematics and Mechanics

基　　金：国家科技支撑计划(2015BAB07B05);山东省农业重大应用技术创新项目(SDNYTG1531963)~~

摘　　要：应用Fourier(傅立叶)分析及奇异积分方程技术研究了弹性波与一般压电介质单侧接触界面的相互作用问题.以界面只产生滑移不分离的情况为例,分析了问题的求解思路和过程,给出了弹性波引起界面滑移或分离的条件.以六角晶系极化碳酸钡陶瓷材料和三角晶系石英材料为例,分析了不同材料摩擦接触界面对弹性波入射的不同反应,给出了不同的入射角及不同的外加压力和电场对界面的影响特性.界面产生滑移和分离时,问题的边界条件具有非线性,导致高频谐波出现,以石英材料为例分析了高频成分随外加条件的变化特性.The Fourier analysis and the singular integral equation technique were used to investigate the propagation characteristics of elastic wave through frictional contact interface between 2 generally anisotropic piezoelectric materials. The method and procedure were developed to solve the question in the case of slipping but not separating in local interface areas,and the extents and locations of slipping and sticking regions varying with the external mechanical-electrical loads were given. Furthermore,with a polarized ceramic material and quartz,which belong to the hexagonal crystal system and the trigonal crystal system respectively,as the examples,different responses of the friction contact interface between different materials to incident elastic wave were analyzed,and the interface behaviors influenced by different incident angles and external mechanical-electrical loads were studied. High-frequency harmonics will occur because of non-linearity（ boundary non-linearity） brought by separation or slip in local interface areas if the incident wave is strong enough. Finally,with quartz as an example,the amplitudes of the reflected and refracted high-frequency harmonics varying with mechanical-electrical loads were comparatively discussed.

关 键 词：压电介质 弹性波 摩擦接触界面 滑移与分离 高频谐波 

分 类 号：O34[理学—固体力学]