期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 56, 期 1, 页码 279-292出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2007.05.008
关键词
carbon nanotube; interatomic potential; constitutive model; bending; curvature
A finite-deformation shell theory is developed for single-wall carbon nanotubes (CNTs) based on the interatomic potential. The modified Born rule for Bravais multi-lattice is used to link the continuum strain energy density to the interatomic potential. The theory incorporates the effect of bending moment and curvature for a curved surface, and accurately accounts for the nonlinear, multi-body atomistic interactions as well as the CNT chirality. It avoids the amibiguous definition of nanotube thickness, and provides the constitutive relations among stress, moment, strain and curvature in terms of the interatomic potential. (c) 2007 Elsevier Ltd. All rights reserved.
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