Variational principles for multi-walled carbon nanotubes undergoing buckling based on nonlocal elasticity theory

被引：106
|
作者：
Adali, S. [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Mech Engn, Durban, South Africa
来源：
PHYSICS LETTERS A | 2008年 / 372卷 / 35期
关键词：
variational principles; carbon nanotubes; semi-inverse method; buckling of nanotubes; nonlocal theory; small scale effects;
D O I：
10.1016/j.physleta.2008.07.003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Variational principles are derived for multi-walled carbon nanotubes undergoing buckling using the semi-inverse method. Derivations are based on the continuum modelling of nanotubes taking into account small scale effects via the nonlocal theory of elasticity. Natural and geometric boundary conditions for multi-walled nanotubes are derived which leads to a set of coupled boundary conditions. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：5701 / 5705
页数：5
相关论文
共 50 条
  • [41] Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium
    Sun, Chengqi
    Liu, Kaixin
    Lu, Guoxing
    ACTA MECHANICA SINICA, 2008, 24 (05) : 541 - 547
  • [42] Buckling analysis of single-walled carbon nanotubes using the initial value method and approximate transfer matrix based on nonlocal elasticity theory
    Tepe, Aysegul
    ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2024, 104 (12):
  • [43] Memristors based on strained multi-walled carbon nanotubes
    Il'ina, Marina, V
    Il'in, Oleg I.
    Osotova, Olga, I
    Smirnov, Vladimir A.
    Ageev, Oleg A.
    DIAMOND AND RELATED MATERIALS, 2022, 123
  • [44] Small-scale effect on torsional buckling of multi-walled carbon nanotubes
    Hao, M. J.
    Guo, X. M.
    Wang, Q.
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2010, 29 (01) : 49 - 55
  • [45] Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium
    Chengqi Sun
    Kaixin Liu
    Guoxing Lu
    Acta Mechanica Sinica, 2008, 24 : 541 - 547
  • [46] Unique buckling responses of multi-walled carbon nanotubes incorporated as torsion springs
    Jeong, Byeong-Woo
    Sinnott, Susan B.
    CARBON, 2010, 48 (06) : 1697 - 1701
  • [47] Dynamic torsional buckling of multi-walled carbon nanotubes embedded in an elastic medium
    Chengqi Sun Kaixin Liu Guoxing Lu LTCS and Department of Mechanics & Aerospace Engineering
    Acta Mechanica Sinica, 2008, (05) : 541 - 547
  • [48] Combined torsional buckling of multi-walled carbon nanotubes coupling with radial pressures
    Sun, C. Q.
    Liu, K. X.
    JOURNAL OF PHYSICS D-APPLIED PHYSICS, 2007, 40 (13) : 4027 - 4033
  • [49] Coordinated Buckling of Thick Multi-Walled Carbon Nanotubes Under Uniaxial Compression
    Huang, Xu
    Yuan, Hongyan
    Hsia, K. Jimmy
    Zhang, Sulin
    NANO RESEARCH, 2010, 3 (01) : 32 - 42
  • [50] Coordinated buckling of thick multi-walled carbon nanotubes under uniaxial compression
    Xu Huang
    Hongyan Yuan
    K. Jimmy Hsia
    Sulin Zhang
    Nano Research, 2010, 3 : 32 - 42
12345