Narendar, S. ; Roy Mahapatra, D. ; Gopalakrishnan, S. (2011) Prediction of nonlocal scaling parameter for armchair and zigzag single-walled carbon nanotubes based on molecular structural mechanics, nonlocal elasticity and wave propagation International Journal of Engineering Science, 49 (6). pp. 509-522. ISSN 0020-7225
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.ijengsci.2011.01.002
Abstract
Atomic vibration in the Carbon Nanotubes (CNTs) gives rise to non-local interactions. In this paper, an expression for the non-local scaling parameter is derived as a function of the geometric and electronic properties of the rolled graphene sheet in single-walled CNTs. A self-consistent method is developed for the linearization of the problem of ultrasonic wave propagation in CNTs. We show that (i) the general three-dimensional elastic problem leads to a single non-local scaling parameter (e0), (ii) e0 is almost constant irrespective of chirality of CNT in the case of longitudinal wave propagation, (iii) e0 is a linear function of diameter of CNT for the case of torsional mode of wave propagation, (iv) e0 in the case of coupled longitudinal-torsional modes of wave propagation, is a function which exponentially converges to that of axial mode at large diameters and to torsional mode at smaller diameters. These results are valid in the long-wavelength limit.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
Keywords: | Single Walled Carbon Nanotube; Wavenumber; Nonlocal Elasticity; Molecular Mechanics; Nonlocal Small Scale Parameter |
ID Code: | 102034 |
Deposited On: | 09 Mar 2018 10:37 |
Last Modified: | 09 Mar 2018 10:37 |
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