Inertia and universality of avalanche statistics: The case of slowly deformed amorphous solids

Kamran Karimi, Ezequiel E. Ferrero, and Jean-Louis Barrat
Phys. Rev. E 95, 013003 – Published 12 January 2017

Abstract

By means of a finite elements technique we solve numerically the dynamics of an amorphous solid under deformation in the quasistatic driving limit. We study the noise statistics of the stress-strain signal in the steady-state plastic flow, focusing on systems with low internal dissipation. We analyze the distributions of avalanche sizes and durations and the density of shear transformations when varying the damping strength. In contrast to avalanches in the overdamped case, dominated by the yielding point universal exponents, inertial avalanches are controlled by a nonuniversal damping-dependent feedback mechanism, eventually turning negligible the role of correlations. Still, some general properties of avalanches persist and new scaling relations can be proposed.

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  • Received 4 October 2016

DOI:https://doi.org/10.1103/PhysRevE.95.013003

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsStatistical Physics & Thermodynamics

Authors & Affiliations

Kamran Karimi, Ezequiel E. Ferrero, and Jean-Louis Barrat

  • Université Grenoble Alpes, LIPHY, F-38000 Grenoble, France and CNRS, LIPHY, F-38000 Grenoble, France

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Issue

Vol. 95, Iss. 1 — January 2017

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