梯度磁电弹材料界面的Stoneley波波速研究  

The Study on the Wave Velocities of Stoneley Waves at two Half-Space Interfaces

作　　者：张倩 李立[1] 王伟华[1] 高晓巍[1] ZHANG Qian;LI Li;WANG Wei-hua;GAO Xiao-wei(College of Science,Qiqihar University,Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《数学的实践与认识》2022年第2期142-147,共6页Mathematics in Practice and Theory

基　　金：黑龙江省自然科学基金(LH2020A023);黑龙江省省属高等学校基本科研业务费科研项目(135309478)。

摘　　要：研究均匀弹性半空间(y≤0)和功能梯度磁电弹半空间(y≥0)界面的Stoneley波的波速.基于弹性介质和磁电弹介质的本构方程、运动方程和界面连续条件,得到了弹性半空间(y≤0)和磁电弹半空间(y≥0)界面处的Stoneley界面波波速方程,并讨论了梯度系数对波速的影响.研究结果对于界面波器件的研制提供理论依据.In this paper,the propagation velocity of Stoneley wave at the interface between uniform elastic half-space y≤0 and functionally graded magneto-electro-elastic half-space y≥0 is investigated.Based on the constitutive equation and motion equation of two halfspace media and the boundary condition and interface continuity,the wave velocity equation of interface Stoneley waves is obtained and analysed,the effect of gradient coefficient on wave velocity is also discussed.The results are of great significance to the theoretical study of Stoneley wave devices.

关 键 词：半空间 弹性材料 磁电弹材料 功能梯度材料 Stoneley波 

分 类 号：O441.6[理学—电磁学]