relation: http://eprints.imtlucca.it/1169/
title: Statistical properties of fractures in damaged materials
creator: Gabrielli, Andrea
creator: Cafiero, Raffaele
creator: Caldarelli, Guido
subject: QC Physics
description: 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.
publisher: IOPscience
date: 1999-11
type: Article
type: PeerReviewed
identifier:   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)  
relation: http://dx.doi.org/10.1209/epl/i1999-00124-7
relation: 10.1209/epl/i1999-00124-7