双介质磁电弹性材料中的界面波  

Interfacial waves in magneto-electro-elastic bimaterials

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作  者:胡洪平[1] 程昆煜 谢旋[1] 王骥[2] 

机构地区:[1]华中科技大学土木工程与力学学院,湖北武汉430074 [2]宁波大学机械工程与力学学院,浙江宁波315211

出  处:《华中科技大学学报(自然科学版)》2013年第10期86-90,共5页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基  金:国家自然科学基金资助项目(10932004;11272127和11272126);浙江省重中之重学科开放基金资助项目(zj1115)

摘  要:研究了两种横观各向同性磁电弹性材料之间的界面波问题.首先建立了界面波在横观各向同性双介质磁电弹性材料中传播的基本方程,其次讨论了在不同界面弹性连接条件和磁电边界情况下界面波问题,其中界面弹性连接条件包括完全连接和滑移连接,磁电边界为25种磁学和电学边界条件的组合;最终确定了界面波波速的久期方程并进行了数值计算,得到了界面波波速和偏振矢量.研究发现在滑移连接条件下存在两种类型的界面波广义瑞利型和广义B-G型.Waves propagating between two half-spaces of transverse isotropic magneto-electric (ME) were studied. Firstly, the governing equations of the interracial waves propagating in ME bimaterial were established. Then, different interracial elastic contact conditions and ME boundary conditions were discussed. The elastic contact conditions include bonding contact and sliding contact, while the ME boundary conditions include 25 kinds of combinations between electricity and magnetism conditions. The secular equation of velocity for interfacial waves was finally obtained. Both wave velocities and polarization vectors were obtained through numerical calculation. It is found that there may be the interracial waves of two types on the condition of sliding contact, i.e. the generalized Rayleigh wave and the generalized Bleustein-Gulyaev (B-G) wave.

关 键 词:压电效应 磁电效应 磁弹性波 磁电弹性材料 界面波 连接条件 

分 类 号:O347[理学—固体力学]

 

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