初应力下功能梯度磁电弹材料的Love波传播  

Propagation of Love Waves in an Initially Stressed Functionally-Graded Magneto-Electro-Elastic Materials

作　　者：王春艳[1] 李立[1] WANG Chun-yan LI Li(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》2016年第21期200-206,共7页Mathematics in Practice and Theory

基　　金：黑龙江省教育厅科研项目(12541869);齐齐哈尔大学青年教师科研启动支持计划项目(2014kZ03);黑龙江省青年科学基金(QC2016008)

摘　　要：研究初应力下含磁电弹覆盖层的半无限大功能梯度磁电弹介质中Love波的传播问题.在电磁学开路和短路的边界条件下,基于初应力下功能梯度磁电弹材料的运动方程,应力自由的表面条件和连续的界面条件得到了Love波的波速方程,为功能梯度磁电弹材料表面波器件的发展提供了理论依据.The propagation behavior of Love wave in a homogeneous magneto-electro- elastic layer of finite thickness over a functionally-graded magneto-electro-elastic half-space under the initial stresses is investigated. Based on the magneto-electro-elastic theory, the mechanical traction-free surface conditions and the continuous interface conditions, a velocity equation of Love wave is derived umder the electrically or magnetically open circuit and short circuit boundary conditions. The results provide a theoretical basis for the development of functionally-graded magneto-electro-elastic devices.

关 键 词：初应力 功能梯度 磁电弹材料 LOVE波 开路和短路 

分 类 号：O441.6[理学—电磁学]