Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical deflation of beach balls with various Poisson's ratios: from
  sphere to bowl's shape   We present a numerical study of the shape taken by a spherical elastic
surface when the volume it encloses is decreased. For the range of 2D
parameters where such surface may modelize a thin shell of an isotropic elastic
material, the mode of deformation that develops a single depression is
investigated in detail. It first occurs via buckling from sphere toward an
axisymmetric dimple, followed by a second buckling where the depression loses
its axisymmetry, by folding along portions of meridians. We could exhibit
unifying master curves for the relative volume variation at which first and
second buckling occur, and clarify the role of the Poisson's ratio. After the
second buckling, the number of folds and inner pressure are investigated,
allowing to infer shell features from mere observation and/or knowledge of
external constraints.

35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess