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arXiv · 1902.05758

Seismic-like organization of avalanches in a driven long-range elastic string as a paradigm of brittle cracks

Jonathan Barés·Daniel Bonamy·Alberto Rosso
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Abstract

Very often damage and fracture in heterogeneous materials exhibit bursty dynamics made of successive impulse-like events which form characteristic aftershock sequences obeying specific scaling laws initially derived in seismology: Gutenberg-Richter law, productivity law, B\r{a}th's law and Omori-Utsu law. We show here how these laws naturally arise in the model of the long-range elastic depinning interface used as a paradigm to model crack propagation in heterogeneous media. We unravel the specific conditions required to observe this seismic-like organization in the crack propagation problem. Beyond failure problems, the results extend to a variety of situations described by models of the same universality class: contact line motion in the wetting problem or domain wall motion in dirty ferromagnet, to name a few.

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Jonathan Barés, Daniel Bonamy, Alberto Rosso. 2019-02-15. Seismic-like organization of avalanches in a driven long-range elastic string as a paradigm of brittle cracks. https://doi.org/10.1103/physreve.100.023001

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