Deformation of metallic single-walled carbon nanotubes in electric field based on elastic theory  

作　　者：洪文亮 郭兴明 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第3期271-278,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10972128 and 10472061);the Ph. D. Programs Foundation of Ministry of Education of China (No. 20060280015);the Shanghai Leading Academic Discipline Project (No. S30106)

摘　　要：The electromechanical properties of metallic single-walled carbon nanotubes （SWCNTs） in the electric field are demonstrated with a column shell model in this paper. A hemisphere model is introduced to determine the charge distribution and the local electric field in SWCNTs. By treating the SWCNT as an elastic column shell, the analytical solutions of the charged SWCNT＇s axial strain and the radial strain are obtained. SWCNTs with a larger aspect ratio show greater deformation. The greatest radial deformation appears at the end of the tube. The significant axial strain can be induced in CNTs with a large length （around 100 nm） even though the applied electric field is not strong enough. When SWCNTs are fixed at both ends, the radius of SWCNTs becomes small along the axial position.The electromechanical properties of metallic single-walled carbon nanotubes （SWCNTs） in the electric field are demonstrated with a column shell model in this paper. A hemisphere model is introduced to determine the charge distribution and the local electric field in SWCNTs. By treating the SWCNT as an elastic column shell, the analytical solutions of the charged SWCNT＇s axial strain and the radial strain are obtained. SWCNTs with a larger aspect ratio show greater deformation. The greatest radial deformation appears at the end of the tube. The significant axial strain can be induced in CNTs with a large length （around 100 nm） even though the applied electric field is not strong enough. When SWCNTs are fixed at both ends, the radius of SWCNTs becomes small along the axial position.

关 键 词：single-walled carbon nanotubes charged deformation analytical solutions 

分 类 号：TB383.1[一般工业技术—材料科学与工程]