| 基于金属型碳纳米管在电场中变形的柱壳理论 |
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| 引用本文： | 洪文亮,郭兴明.基于金属型碳纳米管在电场中变形的柱壳理论[J].应用数学和力学,2010,31(3):253-260. |
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| 作者姓名： | 洪文亮 郭兴明 |
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| 作者单位： | 上海大学 上海市应用数学和力学研究所,上海 200072 |
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| 基金项目： | 国家自然科学基金，哈尔滨工业大学校科研和教改项目，上海市学科建设项目 |
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| 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．
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| 关 键 词： | 手性碳纳米管 电致变形 解析解 |
| 收稿时间： | 1900-01-01 |
Deformation of Metallic Single-Walled Carbon Nanotubes in the Electric Field Based on Elastic Theory |
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| HONG Wen-liang,GUO Xing-ming.Deformation of Metallic Single-Walled Carbon Nanotubes in the Electric Field Based on Elastic Theory[J].Applied Mathematics and Mechanics,2010,31(3):253-260. |
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| Authors: | HONG Wen-liang GUO Xing-ming |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| Abstract: | The electromechanical properties of metallic single-walled carbon nanotubes(SWCNTs) 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 ra... |
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| Keywords: | single-walled carbon nanotubes charged deformation analytis solution |
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