| An inscribed surface model for the elastic properties of armchair carbon nanotube
Sheng Lu, Chongdu Cho*, Kyu-won (Ken) Choi, Wonjun Choi, Sangkyo Lee, Na Wang
The Journal of Mechanical Science and Technology, vol. 24, no. 11, pp.2233-2239, 2010
Abstract : With special physical structure and novel properties, single walled carbon nanotubes (SWCNTs) have attracted much attention in science
and engineering. In order to develop a direct link between continuum analysis and atomistic simulation to investigate the mechanical
properties of CNTs more effectively, an innovatory methodology to construct continuum model from the inner (inscribed surface) to
the outer (covalent bond) is developed. Present study begins from studying Cauchy-Born rule. The differential geometry concept of inscription
and the mean value theorem are adopted to modify the Cauchy-Born rule, and then this modified Cauchy-Born rule can build a
hyper-elastic inscribed surface constitutive model. Resorting to using Tersoff-Brenner potential, the current theory to armchair CNTs is
applied to evaluate the mechanical properties. The results are validated by the comparison with previously reported studies.
Keyword : Carbon nanotube; Constitutive model; Interatomic potential; Curvature; Deformation gradient |
