Volume 66, Number 1, April 2004
|Page(s)||55 - 61|
|Section||Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics|
|Published online||01 March 2004|
Fracture precursors in disordered systems
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
Accepted: 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.
PACS: 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
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