Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modeling of the equilibrium component of the stress tensor of filled
  elastomeric materials with taking into account the Mullins softening effect   Elastomers are viscoelastic materials and their properties significantly
depend on the loading rate. The actual stress experienced by these materials is
the sum of equilibrium and dissipative (inelastic) terms. At very low loading
rates we can eliminate the significant influence of time effects and model the
material as hyperelastic. In this paper, the features of the experimental
determination and subsequent mathematical description of equilibrium stresses
are considered. Verification of the proposed equations has been carried out for
a series of experiments - cyclic uniaxial tests of samples of materials on the
basis of the same matrix, but with different filler contents and under
different maximum degrees of deformation.

22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin