Abstract
The complete energy expression of a deformed single-walled carbon nanotube (SWNT) is derived in the continuum limit from the local density approximation model proposed by Lenosky et al. [Nature (London) 355, 333 (1992)] and is shown to be consistent with the classic shell theory by which Young’s modulus, the Poisson ratio, and the effective wall thickness of SWNT’s are obtained as and respectively. The elasticity of a multiwalled carbon nanotube (MWNT) is investigated as the combination of the above SWNT’s of layer distance and the effective Young’s modulus of the MWNT is found to be an apparent function of the number of layers, N, varying from 4.70 to 1.04 TPa for to
- Received 18 December 2001
DOI:https://doi.org/10.1103/PhysRevB.65.233407
©2002 American Physical Society