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Single-walled carbon nanotubes (SWCNTs) are frequently modeled as
isotropic elastic shells. However, there are obvious evidences showing that
SWCNTs exhibit remarkable chirality induced anisotropy that should not be
neglected in some cases. In this paper, we derive the closed-form
expressions for the anisotropic elastic properties of SWCNTs using a
molecular mechanics model. Based on these anisotropic elastic properties,
we develop a molecular based anisotropic shell model (MBASM) for predicting
the mechanical behavior of SWCNTs. The explicit expressions for the
coupling of axial, circumferential, and torsional strains, the radial
breathing mode frequency, and the longitudinal and torsional wave speeds
are obtained. We show that the MBASM is capable of predicting the effects
of size and chirality on these quantities. The efficiency and accuracy of
the MBASM are validated by comparisons of the present results with the
existing results.
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