@ARTICLE{Lennartz-Sassinek2013_PhysRevE,
author = {Lennartz-Sassinek, S and Zaiser, M. and Main, I. and Manzato, C
and Zapperi, S},
title = {Emergent patterns of localized damage as a precursor to catastrophic
failure in a random fuse network},
journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter Physics},
year = {2013},
volume = {87},
number = {4},
abbrev_source_title = {Phys. Rev. E},
abstract = {We study the failure of disordered materials by numerical simulations
of the random fuse model. We identify emergent patterns of localized
damage prior to catastrophic failure by statistically averaging the
density of damage around the eventual failure nucleation point. The
resulting pattern depends on fracture density and obeys the same
scaling relations as would be expected for the stress field generated
by a critical crack nucleating in a finite, disorder-free effective
medium of varying size. The growth of this critical crack absorbs
preexisting clusters according to a well-defined scaling relation.
Unfortunately, in single model runs such precursory signals are not
obvious. Our results imply that reliable and accurate prediction
of failure in time-independent, microscopically brittle random materials
in a real case is inherently problematic, and degrades with system
size. © 2013 American Physical Society.},
doi = {10.1103/PhysRevE.87.042811},
issn = {15393755},
keywords = {Accurate prediction; Catastrophic failures; Disordered materials;
Nucleation points; Precursory signals; Random fuse models; Scaling
relations; Time independents, Condensed matter physics; Physics, Cracks},
url = {http://journals.aps.org/pre/abstract/10.1103/PhysRevE.87.042811}
}