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|Title:||The constitutive relation and small scale parameter of nonlocal continuum mechanics for modelling carbon nanotubes|
|Source:||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/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.|
|Appears in Collections:||Staff Publications|
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