各向异性压电介质摩擦接触界面波动特性分析

路桂华; 赵曼; 岳强

doi:10.21656/1000-0887.370068

各向异性压电介质摩擦接触界面波动特性分析

doi: 10.21656/1000-0887.370068

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

基金项目: 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）

详细信息

作者简介:
路桂华(1973—)，女，讲师，硕士（E-mail: bjdluguihua@163.com）;赵曼（1975—），女，讲师，博士（E-mail: sjzzhaoman@163.com）;岳强（1971—），男，副教授，博士（通讯作者. E-mail: yueqiang406@163.com）.

中图分类号: O34
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出版历程
- 收稿日期: 2016-03-10
- 修回日期: 2017-03-12
- 刊出日期: 2017-04-15

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

¹Water Conservancy and Civil Engineering Colleges, Shandong Agricultural University, Taian, Shandong 271018, P.R.China;²School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China

Funds: The National Key Technology R&D Program of China(2015BAB07B05)

摘要

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.
- 压电介质 /
- 弹性波 /
- 摩擦接触界面 /
- 滑移与分离 /
- 高频谐波
Abstract: 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.
- piezoelectric material /
- elastic wave /
- frictional contact interface /
- separation zone and slip zone /
- high-frequency harmonic

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参考文献(22)

[1]	冯登泰. 接触力学的发展概况[J]. 力学进展, 1987,17(4): 431-446.(FENG Deng-tai. On the advances of contact mechanics[J]. Advances in Mechanics,1987,17(4): 431-446.(in Chinese))
[2]	汪越胜, 于桂兰, 章梓茂, 等. 复杂界面(界面层)条件下的弹性波传播问题研究综述[J]. 力学进展, 2000,30(3): 378-390.(WANG Yue-sheng, YU Gui-lan, ZHANG Zi-mao, et al. Review on elastic wave propagation under complex interface(interface layer)conditions[J]. Advances in Mechanics,2000,30(3): 378-390.(in Chinese))
[3]	王颖泽, 王谦, 刘栋, 等. 弹性半空间热冲击问题的广义热弹性解[J]. 应用数学和力学, 2014,35(6): 640-651.(WANG Ying-ze, WANG Qian, LIU Dong, et al. Generalized thermoelastic solutions to the problems of thermal shock on elastic half space[J]. Applied Mathematics and Mechanics,2014,35(6): 640-651.(in Chinese))
[4]	王颖泽, 王谦, 刘栋, 等. 有限厚度圆柱壳热冲击问题的广义热弹性解[J]. 应用数学和力学, 2016,37(6): 644-654.(WANG Ying-ze, WANG Qian, LIU Dong, et al. Generalized solution to the thermoelastic problem of finite-thickness hollow cylinders subjected to thermal shock[J]. Applied Mathematics and Mechanics,2016,37(6): 644-654.(in Chinese))
[5]	Murty G S. Wave propagation at an unbonded interface between two elastic half-spaces[J]. The Journal of the Acoustical Society of America,1975,58(5): 1094-1095.
[6]	WANG Li-tian, Lothe J. Existence of second slip waves in anisotropic elastic media[J]. Wave Motion,1993,18(1): 79-99.
[7]	Comninou M, Dundurs J. Singular reflection and refraction of elastic waves due to separation[J]. Journal of Applied Mechanics,1978,45(3): 548-652.
[8]	Dundurs J, Comninou M. Interface separation caused by a plane elastic wave of arbitrary form[J]. Wave Motion,1979,1(1): 17-23.
[9]	Comninou M, Dundurs J, Chez E L. Total reflection of SH waves in the presence of slip and friction[J]. The Journal of the Acoustical Society of America,1979,66(3): 789-793.
[10]	Comninou M, Dundurs J. Interaction of elastic waves with a unilateral interface[J].Proceedings of the Royal Society of London(Series A): Mathematical and Physical Sciences,1979,368(1732): 141-154.
[11]	Comninou M, Dundurs J. Elastic interface waves and sliding between two solids[J]. Journal of Applied Mechanics,1978,45(2): 325-330.
[12]	WANG Yue-sheng, YU Gui-lan, GAI Bing-zheng. Slip with friction between a layer and a substrate caused by an SH pulse[J]. Mechanics Research Communications,1997,24(1): 85-91.
[13]	WANG Yue-sheng, YU Gui-lan, GAI Bing-zheng. Propagation of SH waves in a layered half-space with a frictional contact interface[J]. Bulletin of the Seismological Society of America,1998,88(5): 1300-1310.
[14]	WANG Yue-sheng, YU Gui-lan. Re-polarization of elastic waves at a frictional contact interface—II. Incidence of a P or SV wave[J]. International Journal of Solids and Structures,1999,36(30): 4563-4586.
[15]	WANG Yue-sheng, YU Gui-lan, DAI Hui-hui. Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media[J]. Wave Motion,2003,37(2): 137-156.
[16]	于桂兰, 汪越胜, 李楠. 一般各向异性单侧接触界面上波的反射和折射[J]. 力学学报, 2003,35(5): 561-568.(YU Gui-lan, WANG Yue-sheng, LI Nan. Reflection and refraction of elastic waves at a unilateral contact interface between two generally anisotropic media[J]. Acta Mechanica Sinica,2003,35(5): 561-568.(in Chinese))
[17]	李楠, 汪越胜, 于桂兰. 基于表面阻抗张量的界面滑移波动态失稳分析[J]. 应用数学和力学, 2004,25(9): 935-942.(LI Nan, WANG Yue-sheng, YU Gui-lan. Analysis of dynamic instability of interfacial slip waves based on the surface impedance tensor[J]. Applied Mathematics and Mechanics,2004,25(9): 935-942.(in Chinese))
[18]	白玉柱, 于桂兰, 许丽敏. 压电体光滑接触界面上的滑移界面波理论分析[J]. 北京交通大学学报, 2007,31(4): 10-13.(BAI Yu-zhu, YU Gui-lan, XU Li-min. Theoretical analysis of slip waves propagating along the frictionless contact interface of piezoelectric solids[J]. Journal of Beijing Jiaotong University,2007,31(4): 10-13.(in Chinese))
[19]	白玉柱, 汪越胜, 于桂兰. 压电体光滑接触界面有局部分离时的滑移脉冲波传播[J]. 应用数学和力学, 2007,28(9): 1095-1101.(BAI Yu-zhu, WANG Yue-sheng, YU Gui-lan. Propagation of slip pulse along a frictionless contact interface with local separation between two piezoelectric solids[J]. Applied Mathematics and Mechanics,2007,28(9): 1095-1101.(in Chinese))
[20]	路桂华, 赵曼, 刘立华. 弹性波作用下压电体摩擦接触界面滑移特性分析[J]. 固体力学学报, 2015,36(3): 259-263.(LU Gui-hua, ZHAO Man, LIU Li-hua. Analysis of slip characteristic on frictional contact interfaces in piezoelectric materials due to elastic waves[J]. Chinese Journal of Solid Mechanics,2015,36(3): 259-263.(in Chinese))
[21]	张福学. 现代压电学(上)[M]. 北京: 科学出版社, 2001.(ZHANG Fu-xue. Modern Piezoelectric (Volume One)[M]. Beijing: Science Press, 2001.(in Chinese))
[22]	Nayfeh A H. Wave Propagation in Layered Anisotropic Medium [M]. Netherlands: Elsevier Publishing, 1995.

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各向异性压电介质摩擦接触界面波动特性分析

doi: 10.21656/1000-0887.370068

作者简介:
路桂华(1973—)，女，讲师，硕士（E-mail: bjdluguihua@163.com）;赵曼（1975—），女，讲师，博士（E-mail: sjzzhaoman@163.com）;岳强（1971—），男，副教授，博士（通讯作者. E-mail: yueqiang406@163.com）.

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

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留言板

各向异性压电介质摩擦接触界面波动特性分析

doi: 10.21656/1000-0887.370068

作者简介: 路桂华(1973—)，女，讲师，硕士（E-mail: bjdluguihua@163.com）;赵曼（1975—），女，讲师，博士（E-mail: sjzzhaoman@163.com）;岳强（1971—），男，副教授，博士（通讯作者. E-mail: yueqiang406@163.com）.

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出版历程

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

计量

出版历程

目录

作者简介:
路桂华(1973—)，女，讲师，硕士（E-mail: bjdluguihua@163.com）;赵曼（1975—），女，讲师，博士（E-mail: sjzzhaoman@163.com）;岳强（1971—），男，副教授，博士（通讯作者. E-mail: yueqiang406@163.com）.