电-力耦合效应对三维导电弹性体表面失稳的影响  

THE SURFACE INSTABILITY OF A THREE-DIMENSIONAL CONDUCTIVE ELASTIC BODY SUBJECTED TO ELECTRO-MECHANICAL COUPLING FIELD

作　　者：汪忠明[1] 梁晓东 沈鑫[3] 

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009 [2]深圳奥意建筑工程设计有限公司,广东深圳518031 [3]安徽农业大学工学院,安徽合肥230036

出　　处：《工程力学》2013年第11期143-147,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(51177033)

摘　　要：该文研究了电-力耦合效应对三维弹性导电体表面失稳的影响。利用线性摄动理论,对扩散调控的弹性固体表面在受到单向均匀远场应力和电场的作用下进行了分析,给出了摄动增长率随扰动波数的变化曲线。在该文的分析中,考虑了弹性应变能、表面能和静电能的共同作用。分析结果表明,表面能总是抑制表面失稳,弹性应变能总是促进表面失稳,而静电能也是利于表面失稳。表面失稳的触发与泊松比以及电场强度和与拉应力的相对大小有关。通过这种机械应力和电应力调控的表面自组装可以生成周期性纳米结构,从而为纳电设备的制造提供模板。This paper studied the effect of electro-mechanical coupling on the surface instability of a three-dimensional elastic conductive body. By adopting the linear perturbation theory, the diffusion-mediated surface instability of the elastic solid subjected to a uniaxial uniform far-field stress in an electric field has been analyzed. The curve of the perburbation growth rate versus the disturbance wavenumber is plotted. The elastic strain energy, the surface energy and the electrostatic energy are considered in the analysis. The results indicate that the surface energy always stabilizes the solid surface, the elastic strain energy always promotes the instability and the electrostatic energy destabilizes the surface. The conditions for the onset of instability depend on the Poisson＇s ratio, the relative value of the electric field intensity and the pre-stress. The periodic nanostructures can be formed by the mechanical stress and the electric stress-controlled surface self-assembly which is desirable for making the template for nanoelectronic devices.

关 键 词：纳米结构 线性摄动理论 电-力耦合 表面失稳 自组装 表面扩散 

分 类 号：O341[理学—固体力学]