胡知力^1，， 郭兴明^2，*

（  1、上海大学上海市应用数学和力学研究所；       2、上海大学，上海市应用数学和力学研究所；  ）

摘要： 本文采用连续介质力学中空梁模型研究了细长比比较大的单壁碳纳米管丛的自然变形的构型问题。如果多根碳管一端自由，则会形成螺旋纽结。如把两根碳管并行放在一个平面内，会形成弓形形状。
关键词： 固体力学；碳纳米管丛；自然构型

Hu Zhili， Guo Xingming^*

（  Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University；  ）

Abstract： This paper investigates deformation configuration of small bundle of single-walled carbon nanotubes (SWCNTs). The continuum hollow beam model is adopted. If suspend freely, a pair of CNTs will not remain parallel but twist with each other forming a helix structure. This result is comparable to that analyzed from Buehler's simulation [12]. We also investigate situation of 3 or 7 CNTs that form a bundle. If two CNTs are constrained on a plain and their lengths do not coincide, there will be a bow structure. These effects will be more prominent for more slender tubes, and these phenomena will influence application and mechanical property of CNT.

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