Nonlocal continuum theories of beams for the analysis of carbon nanotubes

被引：610
|
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.
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页数：16
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