初应力下含有两个覆盖层的功能梯度磁电弹半空间中表面波研究  

The Velocity Equations of Surface Waves in an Initially Stressed two Layers of Finite Thickness over a Functionally Graded Magnetic-Electric-Elastic Half-space

作　　者：李立[1] 王焱[1] 万莉娟[1] LI Li;WANG Yan;WAN Li-juan(College of Science,Qiqihar University,Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学理学院

出　　处：《数学的实践与认识》2018年第19期282-289,共8页Mathematics in Practice and Theory

基　　金：黑龙江省省属高等学校基本科研业务费科研项目(135109230,135209257,135209259)

摘　　要：假设基底为带有梯度初应力的功能梯度磁电弹材料，材料的性质和初应力都沿厚度方向指数变化．基底上含有两个不同材料的均匀覆盖层，一个是带有常数初应力的磁电弹覆盖层，一个是均匀弹性覆盖层．通过考察不同的电磁学边界条件及界面的连续条件，给出此结构的表面波波速方程．Substrate is the functionally graded magnetic-electric-elastic material with the graded initial stress. The material parameters and initial stress in the substrate are assumed to vary exponentially along the thickness direction. The two homogeneous layers are different materials. One is the homogeneous magneto-electro-elastic layer with constant initial stress. The other is the homogeneous elastic layer. The velocity equations of surface waves are derived on the electrically and magnetically open circuit or short circuit boundary conditions.

关 键 词：覆盖层 磁电弹材料 表面波 开路 短路 

分 类 号：O441.6[理学—电磁学]