Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.ijsolstr.2006.12.034
Title: Application of nonlocal beam models for carbon nanotubes
Authors: Lu, P.
Lee, H.P. 
Lu, C.
Zhang, P.Q.
Keywords: Carbon nanotubes
Euler beam theory
Nonlocal continuum mechanics
Timoshenko beam theory
Wave propagation
Issue Date: 1-Aug-2007
Citation: Lu, P., Lee, H.P., Lu, C., Zhang, P.Q. (2007-08-01). Application of nonlocal beam models for carbon nanotubes. International Journal of Solids and Structures 44 (16) : 5289-5300. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ijsolstr.2006.12.034
Abstract: Investigations of wave and vibration properties of single- or multi-walled carbon nanotubes based on nonlocal beam models have been reported recently. However, there are numerous inconsistencies in the handling of the governing equations, applied forces, and boundary conditions based on some of the reported nonlocal beam models. In this paper, the consistent equations of motion for the nonlocal Euler and Timoshenko beam models are provided, and some issues on the nonlocal beam theories are discussed. The models are then applied to the studies of wave properties of single- and double-walled nanotubes. The wave and vibration properties of the nanotubes based on the presented nonlocal beam equations are studied, and scale effects are discussed. © 2007 Elsevier Ltd. All rights reserved.
Source Title: International Journal of Solids and Structures
URI: http://scholarbank.nus.edu.sg/handle/10635/59566
ISSN: 00207683
DOI: 10.1016/j.ijsolstr.2006.12.034
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