eprintid: 1169
rev_number: 6
eprint_status: archive
userid: 6
dir: disk0/00/00/11/69
datestamp: 2012-02-24 11:30:08
lastmod: 2013-11-20 13:30:21
status_changed: 2012-02-24 11:30:08
type: article
metadata_visibility: show
creators_name: Gabrielli, Andrea
creators_name: Cafiero, Raffaele
creators_name: Caldarelli, Guido
creators_id: 
creators_id: 
creators_id: guido.caldarelli@imtlucca.it
title: Statistical properties of fractures in damaged materials
ispublished: pub
subjects: QC
divisions: EIC
full_text_status: none
keywords: PACS: 61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates); 62.20.Mk Fatigue, brittleness, fracture, and cracks; 05.20.-y Classical statistical mechanics
abstract: We introduce a model for the dynamics of mud cracking in the limit of of extremely thin layers. In this model the growth of fracture proceeds by selecting the part of the material with the smallest (quenched) breaking threshold. In addition, weakening affects the area of the sample neighbour to the crack. Due to the simplicity of the model, it is possible to derive some analytical results. In particular, we find that the total time to break down the sample grows with the dimension L of the lattice as L2 even though the percolating cluster has a non-trivial fractal dimension. Furthermore, we obtain a formula for the mean weakening with time of the whole sample.
date: 1999-11
date_type: published
publication: EPL (Europhysics Letters)
volume: 45
number: 1
publisher: IOPscience
pagerange: 13-19
id_number: 10.1209/epl/i1999-00124-7
refereed: TRUE
issn: 0295-5075      
official_url: http://dx.doi.org/10.1209/epl/i1999-00124-7
related_url_url: http://arxiv.org/abs/cond-mat/9901107
citation:   Gabrielli, Andrea and Cafiero, Raffaele and Caldarelli, Guido  Statistical properties of fractures in damaged materials.  EPL (Europhysics Letters), 45 (1).  pp. 13-19.  ISSN 0295-5075       (1999)