Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bending and wrinkling as competing relaxation pathways for strained
  free-hanging films   An equilibrium phase diagram for the shape of compressively strained
free-hanging films is developed by total strain energy minimization. For small
strain gradients {\Delta}{\epsilon}, the film wrinkles, while for sufficiently
large {\Delta}{\epsilon}, a phase transition from wrinkling to bending occurs.
We consider competing relaxation mechanisms for free-hanging films, which have
rolled up into tube structures, and we provide an upper limit for the maximum
achievable number of tube rotations.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph