Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Shell Theory for Chiral Single-Wall Carbon Nanotubes   In this paper, we propose a characterization of the mechanical response of
the linearly elastic shell we associate to a single-wall carbon nanotube of
arbitrary chirality. In Bajaj et al. 2013, we gave such a characterization in
the case of zigzag and armchair nanotubes; in particular, we showed that the
orthotropic response we postulated for the associated shells is to become
isotropic in the graphene-limit, that is, when the shell radius grows bigger
and bigger. Here we give an explicit recipe to construct the generally
anisotropic response of the shell associated to a nanotube of any chirality in
terms of the response of the shell associated to a related zigzag or armchair
nanotube. The expected coupling of mechanical effects that anisotropy entrains
is demonstrated in the case of a torsion problem, where the axial extension
accompanying twist is determined analytically and found in good agreement with
the available experimental data.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th