Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Data-driven fracture mechanics   We present a new data-driven paradigm for variational brittle fracture
mechanics. The fracture-related material modeling assumptions are removed and
the governing equations stemming from variational principles are combined with
a set of discrete data points, leading to a model-free data-driven method of
solution. The solution at a given load step is identified as the point within
the data set that best satisfies either the Kuhn-Tucker conditions stemming
from the variational fracture problem or global minimization of a suitable
energy functional, leading to data-driven counterparts of both the local and
the global minimization approaches of variational fracture mechanics. Both
formulations are tested on different test configurations with and without noise
and for Griffith and R-curve type fracture behavior.

11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph