Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic wrinkling and strengthening of a filament in a viscous fluid   We investigate the wrinkling dynamics of an elastic filament immersed in a
viscous fluid submitted to compression at a finite rate with experiments and by
combining geometric nonlinearities, elasticity, and slender body theory. The
drag induces a dynamic lateral reinforcement of the filament leading to growth
of wrinkles that coarsen over time. We discover a new dynamical regime
characterized by a timescale with a non-trivial dependence on the loading rate,
where the growth of the instability is super-exponential and the wavenumber is
an increasing function of the loading rate. We find that this timescale can be
interpreted as the characteristic time over which the filament transitions from
the extensible to the inextensible regime. In contrast with our analysis with
moving boundary conditions, Biot's analysis in the limit of infinitely fast
loading leads to rate independent exponential growth and wavelength.

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The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas