Fracture precursors in disordered systemsG. Meacci1, 2, A. Politi1 and M. Zei3
1 Istituto Nazionale di Ottica Applicata - L.go E. Fermi 6, 50125 Firenze, Italy
2 Max Planck Institute for Physics of Complex Systems Nöthnitzer Straße 38, 01187 Dresden, Germany
3 CECM-CNRS-Vitry - 15 rue Georges Urbain, 94407 Vitry-sur-Seine, France
(Received 2 October 2003; accepted in final form 2 February 2004)
A two-dimensional lattice model with bond disorder is used to investigate the fracture behaviour under stress-controlled conditions. Although the cumulative energy of precursors does not diverge at the critical point, its derivative with respect to the control parameter (reduced stress) exhibits a singular behaviour. Our results are nevertheless compatible with previous experimental findings, if one restricts the comparison to the (limited) range accessible in the experiment. A power law avalanche distribution is also found with an exponent close to the experimental values.
46.50.+a - Fracture mechanics, fatigue and cracks.
62.20.Mk - Fatigue, brittleness, fracture, and cracks.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
© EDP Sciences 2004