Please use this identifier to cite or link to this item: https://doi.org/10.1063/1.2833431
Title: Nonlocal continuum theories of beams for the analysis of carbon nanotubes
Authors: Reddy, J.N. 
Pang, S.D. 
Issue Date: 2008
Source: Reddy, J.N., Pang, S.D. (2008). Nonlocal continuum theories of beams for the analysis of carbon nanotubes. Journal of Applied Physics 103 (2) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.2833431
Abstract: 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. © 2008 American Institute of Physics.
Source Title: Journal of Applied Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/60896
ISSN: 00218979
DOI: 10.1063/1.2833431
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