Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The metric description of viscoelasticity and instabilities in
  viscoelastic solids   Many manmade and naturally occurring materials form viscoelastic solids. The
increasing use of biologically inspired elastomeric material and the extreme
mechanical response these elastomers offer drive the need for a better, more
intuitive and quantitative understanding of the mechanical response of such
continua. This is in particular important in determining the stability of
viscoelastic structure over time where in lieu of robust rules we often must
resort to simulations. In this work we put forward a metric description of
viscoelasticity in which the continua is characterized by temporally evolving
reference lengths quantified by a rest reference metric. This rest reference
metric serves as a state variable describing the result of the viscoelastic
flow in the system, and allows us to provide robust claims regarding stability
of incompressible isotropic viscoelastic media. We demonstrate these claims for
a simple bistable systems of three standard-linear-solid spring dashpot
assemblies where the predicted rules can be verified by explicit calculations,
and also show quantitative agreement with recent experiments in viscoelastic
silicone rubber shells that display delayed stability loss.

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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph