Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bond-based peridynamics does not converge to hyperelasticity as the
  horizon goes to zero   Bond-based peridynamics is a nonlocal continuum model in Solid Mechanics in
which the energy of a deformation is calculated through a double integral
involving pairs of points in the reference and deformed configurations. It is
known how to calculate the {\Gamma}-limit of this model when the horizon
(maximum interaction distance between the particles) tends to zero, and the
limit turns out to be a (local) vector variational problem defined in a Sobolev
space, of the type appearing in (classical) hyperelasticity. In this paper, we
impose frame-indifference and isotropy in the model and find that very few
hyperelastic functionals are {\Gamma}-limits of the bond-based peridynamics
model. In particular, Mooney-Rivlin materials are not recoverable through this
limit procedure.

12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin