Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology, geometry and mechanics of strongly stretched and twisted
  filaments   Soft elastic filaments that can be stretched, bent and twisted exhibit a
range of topologically and geometrically complex morphologies that include
plectonemes, solenoids, knot-like and braid-like structures. We combine
numerical simulations of soft elastic filaments that account for geometric
nonlinearities and self-contact to map out these structures in a phase diagram
that is a function of extension and twist density, consistent with previous
experimental observations. By using ideas from computational topology, we also
track the interconversion of link, twist and writhe in these geometrically
complex physical structures. This allows us to explain recent experiments on
fiber-based artificial muscles that use the conversion of writhe to extension
or contraction, exposing the connection between topology, geometry and
mechanics in an everyday practical setting.

36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom