Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Avalanche behavior in creep failure of disordered materials   We present a mesoscale elastoplastic model of creep in disordered materials
which considers temperature-dependent stochastic activation of localized
deformation events which are mutually coupled by internal stresses, leading to
collective avalanche dynamics. We generalize this stochastic plasticity model
by introducing damage in terms of a local strength that decreases, on
statistical average, with increasing local plastic strain. As a consequence the
model captures failure in terms of strain localization in a catastrophic shear
band concomitant with a finite-time singularity of the creep rate. The
statistics of avalanches in the run-up to failure is characterized by a
decreasing avalanche exponent $\tau$ that, at failure, approaches the value
$\tau = 1.5$ typical of a critical branching process. The average avalanche
rate exhibits an inverse Omori law as a function of the time-to-failure,
whereas the distribution of inter-avalanche times turns out to be consistent
with the ETAS model of earthquake statistics.

7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio