Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Start-up shear of spherocylinder packings: effect of friction   We study the response to shear deformations of packings of long
spherocylindrical particles that interact via frictional forces with friction
coefficient $\mu$. The packings are produced and deformed with the help of
molecular dynamics simulations combined with minimization techniques performed
on a GPU. We calculate the linear shear modulus $g_\infty$, which is orders of
magnitude larger than the modulus $g_0$ in the corresponding frictionless
system. The motion of the particles responsible for these large frictional
forces is governed by and increases with the length $\ell$ of the
spherocylinders. One consequence of this motion is that the shear modulus
$g_\infty$ approaches a finite value in the limit $\ell\to\infty$, even though
the density of the packings vanishes, $\rho\propto\ell^{-2}$. By way of
contrast, the frictionless modulus decreases to zero, $g_0\sim\ell^{-2}$, in
accordance with the behavior of density. Increasing the strain beyond a value
$\gamma_c\sim \mu$, the packing undergoes a "shear-thinning" transition from
the large frictional to the smaller frictionless modulus when contacts saturate
at the Coulomb inequality and start to slide. In this regime, sliding friction
contributes a "yield stress" $\sigma_y=g_\infty\gamma_c$ and the stress behaves
as $\sigma=\sigma_y+g_0\gamma$. The interplay between static and sliding
friction gives rise to hysteresis in oscillatory shear simulations.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org