Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Euler elastica as a $\Gamma$-Limit of discrete bending energies of
  one-dimensional chains of atoms   This work is motivated by discrete-to-continuum modeling of the mechanics of
a graphene sheet, which is a single-atom thick macromolecule of carbon atoms
covalently bonded to form a hexagonal lattice. The strong covalent bonding
makes the sheet essentially inextensible and gives the sheet a resistance to
bending. We study a one-dimensional atomistic model that describes the
cross-section of a graphene sheet as a collection of rigid links connected by
torsional springs. $\Gamma$-convergence is used to rigorously justify an
upscaling procedure for the discrete bending energy of the atomistic model. Our
result establishes that as the bond length in the atomistic model goes to 0,
the bending energies $\Gamma$-converge to Euler's elastica.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph