Nonlocal continuum theories of beams for the analysis of carbon nanotubes

被引：626
|
作者：
Reddy, J. N. [1 ,2 ]
Pang, S. D. [2 ,3 ,4 ]
机构：
[1] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA
[2] Natl Univ Singapore, Engn Sci Programme, Singapore 117574, Singapore
[3] Natl Univ Singapore, Engn Sci Programme, Singapore 117576, Singapore
[4] Natl Univ Singapore, Dept Civil Engn, Singapore 117576, Singapore
来源：
JOURNAL OF APPLIED PHYSICS | 2008年 / 103卷 / 02期
关键词：
D O I：
10.1063/1.2833431
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
The equations of motion of the Euler-Bernoulli and Timoshenko beam theories are reformulated using the nonlocal differential constitutive relations of Eringen [International Journal of Engineering Science 10, 1-16 (1972)]. The equations of motion are then used to evaluate the static bending, vibration, and buckling responses of beams with various boundary conditions. Numerical results are presented using the nonlocal theories to bring out the effect of the nonlocal behavior on deflections, buckling loads, and natural frequencies of carbon nanotubes. (c) 2008 American Institute of Physics.
引用
收藏
页数：16
相关论文
共 50 条
  • [41] The Vibrations of Carbon Nanotubes in Nonlocal Elasticity
    Artan, Reha
    Lehmann, Lutz
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2009, 6 (03) : 653 - 661
  • [42] A nonlocal continuum model for the buckling of carbon honeycombs
    Jin Zhang
    Meccanica, 2018, 53 : 2999 - 3013
  • [43] A nonlocal continuum model for the buckling of carbon honeycombs
    Zhang, Jin
    MECCANICA, 2018, 53 (11-12) : 2999 - 3013
  • [44] Equivalent beams for carbon nanotubes
    Papanikos, P.
    Nikolopoulos, D. D.
    Tserpes, K. I.
    COMPUTATIONAL MATERIALS SCIENCE, 2008, 43 (02) : 345 - 352
  • [45] Recent developments in the analysis of carbon nanotubes and nonlinear shell theories
    Reddy, J. N.
    Arciniega, R. A.
    Wang, C. M.
    SHELL STRUCTURES: THEORY AND APPLICATIONS, VOL 2, 2010, : 11 - +
  • [46] Nonlocal effects in modal analysis of forced responses with single carbon nanotubes
    Claeyssen, Julio R.
    Tsukazan, Teresa
    Coppeti, Rosemaira D.
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2013, 38 (02) : 299 - 311
  • [47] Nonlocal beam model for nonlinear analysis of carbon nanotubes on elastomeric substrates
    Shen, Hui-Shen
    Zhang, Chen-Li
    COMPUTATIONAL MATERIALS SCIENCE, 2011, 50 (03) : 1022 - 1029
  • [48] Nonlocal Euler–Bernoulli beam theories with material nonlinearity and their application to single-walled carbon nanotubes
    Kun Huang
    Benning Qu
    Wei Xu
    Ji Yao
    Nonlinear Dynamics, 2022, 109 : 1423 - 1439
  • [49] Continuum model of polygonization of carbon nanotubes
    Golovaty, Dmitry
    Talbott, Shannon
    PHYSICAL REVIEW B, 2008, 77 (08):
  • [50] Forced Vibration Analysis of Composite Beams Reinforced by Carbon Nanotubes
    Civalek, Omer
    Akbas, Seref D.
    Akgoz, Bekir
    Dastjerdi, Shahriar
    NANOMATERIALS, 2021, 11 (03) : 1 - 17
12345