Torsional buckling of a double-walled carbon nanotube embedded in an elastic medium

被引:91
作者
Han, Q [1 ]
Lu, GX
机构
[1] S China Univ Technol, Coll Traff & Commun, Dept Mech, Guangzhou 510640, Peoples R China
[2] Swinburne Univ Technol, Sch Sci & Engn, Hawthorn, Vic 3122, Australia
基金
中国国家自然科学基金;
关键词
nanotube; buckling; Winkler model; van der Waals force;
D O I
10.1016/j.euromechsol.2003.07.001
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The torsional buckling of a double-walled carbon nanotube embedded in an elastic medium is studied in this paper. The effects of surrounding elastic medium and van der Waals forces between the inner and outer nanotubes are taken into account. Using continuum mechanics, an elastic double-shell model is presented for the torsional buckling of a double-walled carbon nanotube. Based on the model, a condition is derived in terms of the buckling modes of the shell and the parameters describing the effect of van der Waals interaction and surrounding elastic medium. A simplified analysis is also carried out estimate the critical torque for torsional buckling of the double-walled carbon nanotube. (C) 2003 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
引用
收藏
页码:875 / 883
页数:9
相关论文
共 18 条
[1]   Deformation of carbon nanotubes in nanotube-polymer composites [J].
Bower, C ;
Rosen, R ;
Jin, L ;
Han, J ;
Zhou, O .
APPLIED PHYSICS LETTERS, 1999, 74 (22) :3317-3319
[2]  
DONNELL LH, 1933, 479 NACA, P1933
[3]   Nanometre-scale rolling and sliding of carbon nanotubes [J].
Falvo, MR ;
Taylor, RM ;
Helser, A ;
Chi, V ;
Brooks, FP ;
Washburn, S ;
Superfine, R .
NATURE, 1999, 397 (6716) :236-238
[4]   Bending and buckling of carbon nanotubes under large strain [J].
Falvo, MR ;
Clary, GJ ;
Taylor, RM ;
Chi, V ;
Brooks, FP ;
Washburn, S ;
Superfine, R .
NATURE, 1997, 389 (6651) :582-584
[5]   ENERGY OF COHESION, COMPRESSIBILITY, AND THE POTENTIAL ENERGY FUNCTIONS OF THE GRAPHITE SYSTEM [J].
GIRIFALCO, LA ;
LAD, RA .
JOURNAL OF CHEMICAL PHYSICS, 1956, 25 (04) :693-697
[6]   INTERACTION POTENTIAL FOR C60 MOLECULES [J].
GIRIFALCO, LA .
JOURNAL OF PHYSICAL CHEMISTRY, 1991, 95 (14) :5370-5371
[7]   Structural flexibility of carbon nanotubes [J].
Iijima, S ;
Brabec, C ;
Maiti, A ;
Bernholc, J .
JOURNAL OF CHEMICAL PHYSICS, 1996, 104 (05) :2089-2092
[8]   HELICAL MICROTUBULES OF GRAPHITIC CARBON [J].
IIJIMA, S .
NATURE, 1991, 354 (6348) :56-58
[9]   Elastic properties of carbon nanotubes and nanoropes [J].
Lu, JP .
PHYSICAL REVIEW LETTERS, 1997, 79 (07) :1297-1300
[10]   Brittle and ductile behavior in carbon nanotubes [J].
Nardelli, MB ;
Yakobson, BI ;
Bernholc, J .
PHYSICAL REVIEW LETTERS, 1998, 81 (21) :4656-4659