Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The energy of crumpled sheets in Foppl-von Karman plate theory   We study investigate a long, thin rectangular elastic membrane that is bent
through an angle $2 \alpha$, using the Foppl--von Karman ansatz in a
geometrically linear setting. We study the associated variational problem, and
show the existence of a minimizer for the elastic energy. We also prove
rigorous upper and lower bounds for the minimum energy of this configuration in
terms of the plate thickness and the bending angle, and we also obtain results
for the structure of the elastic ridge along it's length.

6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph