We study avalanches in a model for a planar crack propagating in a disordered medium. Due to long-range interactions, avalanches are formed by a set of spatially disconnected local clusters, the sizes of which are distributed according to a power law with an exponent τa =1.5. We derive a scaling relation τa =2τ-1 between the local cluster exponent τa and the global avalanche exponent τ. For length scales longer than a crossover length proportional to the Larkin length, the aspect ratio of the local clusters scales with the roughness exponent of the line model. Our analysis provides an explanation for experimental results on planar crack avalanches in Plexiglas plates, but the results are applicable also to other systems with long-range interactions
Avalanches and clusters in planar crack front propagation / L. Laurson, S. Santucci, S. Zapperi. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 81:4(2010 Apr 27), pp. 046116.1-046116.6.
Titolo: | Avalanches and clusters in planar crack front propagation |
Autori: | |
Parole Chiave: | superconductors; dynamics |
Settore Scientifico Disciplinare: | Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici Settore FIS/03 - Fisica della Materia |
Data di pubblicazione: | 27-apr-2010 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevE.81.046116 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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