Please use this identifier to cite or link to this item: https://doi.org/10.1088/0957-4484/18/7/075702
Title: The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes
Authors: Wang, Q.
Wang, C.M. 
Issue Date: 21-Feb-2007
Citation: Wang, Q., Wang, C.M. (2007-02-21). The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes. Nanotechnology 18 (7) : -. ScholarBank@NUS Repository. https://doi.org/10.1088/0957-4484/18/7/075702
Abstract: In this paper, the constitutive relations of nonlocal elasticity theory are presented for application in the analysis of carbon nanotubes (CNTs) when modelled as Euler-Bernoulli beams, Timoshenko beams or as cylindrical shells. In particular, the shear stress and strain relation for the nonlocal Timoshenko beam theory is discussed in great detail due to a misconception by some researchers that the nonlocal effect should appear in this constitutive relation. Different theories for proposing the value of the small scale parameter are also introduced and a recommendation for the value from the standpoint of wave propagation of CNTs is given. © IOP Publishing Ltd.
Source Title: Nanotechnology
URI: http://scholarbank.nus.edu.sg/handle/10635/66279
ISSN: 09574484
DOI: 10.1088/0957-4484/18/7/075702
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