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

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 non-universal 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.

10 pages, 9 figures

References in corpus (4)

• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Marginal Stability in Structural, Spin and Electron Glasses
• Stokes experiment in a liquid foam

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• Extracting the properties of quasilocalized modes in computer glasses: Long-range continuum fields, contour integrals and boundary effects
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• Dynamic phase diagram of plastically deformed amorphous solids at finite temperature
• Yielding in dense active matter
• Sheared granular matter & the empirical relations of seismicity