Finite deformation continuum model for energetics of carbon nanotubes
Document Type
Conference Proceeding
Publication Date
1-1-2003
Abstract
A continuum-based model for computing strain energies and estimating effective axial Young's modulus of single-walled carbon nanotubes (SWCNTs) is developed using finite deformation kinematics. A SWCNT is viewed as a continuum hollow cylinder formed by rolling up a flat graphite sheet, which is treated as an isotropic continuum plate. Explicit formulas for calculating Young's moduli of both the graphite sheet and the nanotube are derived. The latter is obtained from the former using the rule of mixtures. Sample numerical results are presented to illustrate the application of the newly derived formulas, which are also compared to the relevant data reported in the literature. © 2003 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
Publication Title
44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Recommended Citation
Gao, X.,
Li, K.,
&
Roy, A.
(2003).
Finite deformation continuum model for energetics of carbon nanotubes.
44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference.
http://doi.org/10.2514/6.2003-1770
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/13948