Statistical properties of fracture in a random spring model

Details Statistical properties of fracture in a random spring model Statistical properties of fracture in a random spring model

2005-02-03

arxiv.org/abs/cond-mat/0502101v1

Physics

Condensed Matter

Materials Science

12 pages, 17 figures, 1 gif figure

Scientific paper

10.1103/PhysRevE.71.066106

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.

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