| 基于非局部弹性理论的单壁碳纳米管轴向受压屈曲研究 |
| |
| 引用本文： | 谢根全,韩旭,龙述尧,田建辉.基于非局部弹性理论的单壁碳纳米管轴向受压屈曲研究[J].物理学报,2005,54(9):4192-4197. |
| |
| 作者姓名： | 谢根全 韩旭 龙述尧 田建辉 |
| |
| 作者单位： | (1)湖南大学工程力学系，长沙 410082; (2)湖南大学工程力学系，长沙 410082;现代车身技术教育部重点实验室，湖南大学，长沙 410082; (3)现代车身技术教育部重点实验室，湖南大学，长沙 410082 |
| |
| 基金项目： | 国家自然科学基金（批准号：10372031）资助的课题. |
| |
| 摘 要： | 基于非局部弹性理论，在考虑小尺度效应影响的情况下，建立了单壁碳纳米管在均匀轴向外 部压力下的壳体模型. 得到了单壁碳纳米管的轴向受压屈曲的临界条件，验证了小尺度效应 对纳米管轴向受压屈曲的影响. 经典的壳体模型理论由于没有考虑小尺度效应影响而导致碳 纳米管轴向屈曲临界压力值偏高.
关键词：
非局部弹性理论
碳钠米管
小尺度效应
轴向受压
|
| 关 键 词： | 非局部弹性理论 碳钠米管 小尺度效应 轴向受压 |
| 文章编号： | 1000-3290/2005/54(09)/4192-06 |
| 收稿时间： | 11 18 2004 12:00AM |
| 修稿时间： | 2004-11-182005-01-26 |
Buckling of a single wall carbon nanotube under an axial pressure based on the nonlocal elastic theory |
| |
| Xie Gen-Quan,Han Xu,Long Shu-Yao,Tian Jian-Hui.Buckling of a single wall carbon nanotube under an axial pressure based on the nonlocal elastic theory[J].Acta Physica Sinica,2005,54(9):4192-4197. |
| |
| Authors: | Xie Gen-Quan Han Xu Long Shu-Yao Tian Jian-Hui |
| |
| Abstract: | A shallow shell model is developed for the elastic buckling of a single wall car bon nanotube under a uniform external axial pressure by using the nonlocal elastic theory. Effects of the small size scale are incorporated in the formulation Critical conditions are given under the axial buckling pressure for a single-w all carbon nanotube. Influences of the small size scale on the axial buckling pr essure are found. It is concluded that the axial buckling pressure for a carbon nanotube could be overestimated by the classic shell model without considering t he effect of the small size scale. |
| |
| Keywords: | nonlocal elasticity carbon nanotube small size effect axial bucking |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
