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arXiv · 1604.04088

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

Awadhesh K. Dubey·H. George E. Hentschel·Itamar Procaccia·Murari Singh
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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.

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Awadhesh K. Dubey, H. George E. Hentschel, Itamar Procaccia, Murari Singh. 2016-04-14. Statistics of Plastic Events in Post-Yield Strain-Controlled Amorphous Solids. https://doi.org/10.1103/physrevb.93.224204

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