Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Likely equilibria of the stochastic Rivlin cube   The problem of the Rivlin cube is to determine the stability of all
homogeneous equilibria of an isotropic incompressible hyperelastic body under
equitriaxial dead loads. Here, we consider the stochastic version of this
problem where the elastic parameters are random variables following standard
probability laws. Uncertainties in these parameters may arise, for example,
from inherent data variation between different batches of homogeneous samples,
or from different experimental tests. As for the deterministic elastic problem,
we consider the following questions: what are the likely equilibria and how
does their stability depend on the material constitutive law? In addition, for
the stochastic model, the problem is to derive the probability distribution of
deformations, given the variability of the parameters.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess