We investigate the breakdown of disordered networks under the action of an increasing external—mechanical or electrical—force. We perform a mean-field analysis and estimate scaling exponents for the approach to the instability. By simulating two-dimensional models of electric breakdown and fracture we observe that the breakdown is preceded by avalanche events. The avalanches can be described by scaling laws, and the estimated values of the exponents are consistent with those found in mean-field theory. The breakdown point is characterized by a discontinuity in the macroscopic properties of the material, such as conductivity or elasticity, indicative of a first-order transition. The scaling laws suggest an analogy with the behavior expected in spinodal nucleation.
Avalanches in fracture and breakdown processes / S. Zapperi, P. Ray, H. Eugene Stanley, A. Vespignani. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - 59:5(1999 May 01), pp. 5049-5057.
|Titolo:||Avalanches in fracture and breakdown processes|
|Parole Chiave:||Self-organized critcality; acoustic-emission; dielectric-breakdown; electrical breakdown; burst avalanches; phase-transitin; fuse networks; nucleation; disorder; dynamics|
|Settore Scientifico Disciplinare:||Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici|
Settore FIS/03 - Fisica della Materia
|Data di pubblicazione:||1-mag-1999|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevE.59.5049|
|Appare nelle tipologie:||01 - Articolo su periodico|