Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigendamage: an Eigendeformation model for the variational approximation
  of cohesive fracture -- a one-dimensional case study   We study an approximation scheme for a variational theory of cohesive
fracture in a one-dimensional setting. Here, the energy functional is
approximated by a family of functionals depending on a small parameter $0 <
\varepsilon \ll 1$ and on two fields: the elastic part of the displacement
field and an eigendeformation field that describes the inelastic response of
the material beyond the elastic regime. We measure the inelastic contributions
of the latter in terms of a non-local energy functional. Our main result shows
that, as $\varepsilon \to 0$, the approximate functionals $\Gamma$-converge to
a cohesive zone model.

36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph