基于金属型碳纳米管在电场中变形的柱壳理论  

Deformation of Metallic Single-Walled Carbon Nanotubes in the Electric Field Based on Elastic Theory

作　　者：洪文亮[1] 郭兴明[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《应用数学和力学》2010年第3期253-260,共8页Applied Mathematics and Mechanics

基　　金：国家自然基金资助项目(10972128;10472061);教育部博士点基金资助项目(20060280015);上海市重点学科建设基金资助项目(S30106)

摘　　要：提出了关于金属型碳纳米管在电场中变形的柱壳理论.借助于半球模型,得到了金属型碳纳米管在电场中的电荷与电场分布的解析解.将带电碳原子所受的电场力看作是碳纳米管的内力,根据柱壳理论碳纳米管在电场中的变形被解析地给出.结果表明:碳纳米管的长径比对碳纳米管在电场中的变形有重大影响,长径比越大,碳纳米管的变形越明显;碳纳米管的径向变形沿轴向是不均匀的,最大的径向变形出现于碳纳米管的端部;更为有意义的是,即使外加电场不够大,对于长径比很大的碳纳米管仍然可以表现出明显的变形.The electromechanical properties of metallic single-walled carbon nanotubes （ SWC-NTs） in the electric field are demonstrated via a column shell model. A model of hemisphere was introduced to determine the charge distribution and local electric field on SWCNTs. It is shown that, regarding the SWCNT＇ s an elastic column shell, the analytical solutions of charged SWCNT＇ s axial strain and radial strain are obtained. Single-walled carbon nanotubes with higher aspect ratio can show greater deformation and the greatest radial deformation appears at the end of the tube, and significant axial strain can be induced in CNTs with long length （ around 100 nm） even though the applied electric field is not strong enough; when the SWCNTs are fixed at both ends the radius of SWCNTs become smaller along axial position. These results redound to our understanding of metallic SWCNTs＇ electromechanical properties in the electric field and SWCNTs＇ applications on nanoelectronic device and nanoelectromechanical systems.

关 键 词：手性碳纳米管 电致变形 解析解 

分 类 号：O343[理学—固体力学] TB383[理学—力学]