Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium  

作　　者：Chengqi Sun Kaixin Liu Guoxing Lu 

机构地区：[1]LTCS and Department of Mechanics & Aerospace Engineering,College of Engineering, Peking University,Beijing 100871, China [2]Faculty of Engineering and Industrial Science,Swinburne University of Technology,Hawthorn, Melbourne, VIC 3122, Australia

出　　处：《Acta Mechanica Sinica》2008年第5期541-547,共7页力学学报（英文版）

基　　金：the National Natural Science Foundation of China(10572002 and 10732010)

摘　　要：In this paper the dynamic torsional buckling of multi-walled carbon nanotubes （MWNTs） embedded in an elastic medium is studied by using a continuum mechanics model. By introducing initial imperfections for MWNTs and applying the preferred mode analytical method, a buckling condition is derived for the buckling load and associated buckling mode. In particular, explicit expressions are obtained for embedded double-walled carbon nanotubes （DWNTs）. Numerical results show that, for both the DWNTs and embedded DWNTs, the buckling form shifts from the lower buckling mode to the higher buckling mode with increasing the buckling load, but the buckling mode is invari- able for a certain domain of the buckling load. It is also indicated that, the surrounding elastic medium generally has effect on the lower buckling mode of DWNTs only when compared with the corresponding one for individual DWNTs.In this paper the dynamic torsional buckling of multi-walled carbon nanotubes （MWNTs） embedded in an elastic medium is studied by using a continuum mechanics model. By introducing initial imperfections for MWNTs and applying the preferred mode analytical method, a buckling condition is derived for the buckling load and associated buckling mode. In particular, explicit expressions are obtained for embedded double-walled carbon nanotubes （DWNTs）. Numerical results show that, for both the DWNTs and embedded DWNTs, the buckling form shifts from the lower buckling mode to the higher buckling mode with increasing the buckling load, but the buckling mode is invari- able for a certain domain of the buckling load. It is also indicated that, the surrounding elastic medium generally has effect on the lower buckling mode of DWNTs only when compared with the corresponding one for individual DWNTs.

关 键 词：NANOTUBE Dynamic buckling Van der Waalsforces 

分 类 号：O369[理学—流体力学]