Statistics of Plastic Events in Post-Yield Strain-Controlled Amorphous Solids

Abstract

Amorphous solids yield in strain-controlled protocols at a critical value of the strain. For larger strains the stress and energy display a generic complex serrated signal with elastic segments punctuated by sharp energy and stress plastic drops having a wide range of magnitudes. Here we provide a theory of the scaling properties of such serrated signals taking into account the system-size dependence. We show that the statistics are not homogeneous - they separate sharply to a regime of `small' and `large' drops, each endowed with its own scaling properties. A scaling theory is first derived solely by data analysis, showing a somewhat complex picture. But after considering the physical interpretation one discovers that the scaling behavior and the scaling exponents are in fact very simple and universal.

arXiv comment7 pages, 11 figures

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• Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
• Mean field stability map of hard-sphere glasses