Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the thermodynamic consistency of Quasi-Linear Viscoelastic models for
  soft solids   Originating in the field of biomechanics, Fung's model of quasi-linear
viscoelasticity (QLV) is one of the most popular constitutive theories employed
to compute the time-dependent relationship between stress and deformation in
soft solids. It is one of the simplest models of nonlinear viscoelasticity,
based on a time-domain integral formulation. In the present study, we consider
the QLV model incorporating a single scalar relaxation function. We provide
natural internal variables of state, as well as a consistent expression of the
free energy to illustrate the thermodynamic consistency of this version of the
QLV model. The thermodynamic formulation highlights striking similarities
between QLV and the internal-variable models introduced by Holzapfel and Simo.
Finally, the dissipative features of compressible QLV materials are illustrated
in simple tension.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
2
The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio