Universal Scaling of the Velocity Field in Crack Front Propagation

Clément Le Priol, Julien Chopin, Pierre Le Doussal, Laurent Ponson, and Alberto Rosso
Phys. Rev. Lett. 124, 065501 – Published 11 February 2020
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Abstract

The propagation of a crack front in disordered materials is jerky and characterized by bursts of activity, called avalanches. These phenomena are the manifestation of an out-of-equilibrium phase transition originated by the disorder. As a result avalanches display universal scalings which are, however, difficult to characterize in experiments at a finite drive. Here, we show that the correlation functions of the velocity field along the front allow us to extract the critical exponents of the transition and to identify the universality class of the system. We employ these correlations to characterize the universal behavior of the transition in simulations and in an experiment of crack propagation. This analysis is robust, efficient, and can be extended to all systems displaying avalanche dynamics.

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  • Received 20 September 2019
  • Revised 11 December 2019
  • Accepted 15 January 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.065501

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Clément Le Priol1,*, Julien Chopin2, Pierre Le Doussal1, Laurent Ponson3, and Alberto Rosso4

  • 1CNRS–Laboratoire de Physique de l’Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex, France
  • 2Instituto de Física, Universidade Federal da Bahia, Salvador-BA, 40170-115, Brazil
  • 3Institut Jean le Rond d’Alembert, Sorbonne Université, 75252 Paris Cedex 05, France
  • 4LPTMS, CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay, France

  • *To whom all correspondence should be addressed. clement.lpr@gmail.com

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Issue

Vol. 124, Iss. 6 — 14 February 2020

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