Statistical properties of fracture in a random spring model
Materials Science
2009-11-11 v1 Statistical Mechanics
Abstract
Using large scale numerical simulations we analyze the statistical properties of fracture in the two dimensional random spring model and compare it with its scalar counterpart: the random fuse model. We first consider the process of crack localization measuring the evolution of damage as the external load is raised. We find that, as in the fuse model, damage is initially uniform and localizes at peak load. Scaling laws for the damage density, fracture strength and avalanche distributions follow with slight variations the behavior observed in the random fuse model. We thus conclude that scalar models provide a faithful representation of the fracture properties of disordered systems.
Keywords
Cite
@article{arxiv.cond-mat/0502101,
title = {Statistical properties of fracture in a random spring model},
author = {Phani Kumar V. V. Nukala and Stefano Zapperi and Srdan Simunovic},
journal= {arXiv preprint arXiv:cond-mat/0502101},
year = {2009}
}
Comments
12 pages, 17 figures, 1 gif figure