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Issue 17, 2019
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Transition rates for slip-avalanches in soft athermal disks under quasi-static simple shear deformations

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Abstract

We study slip-avalanches in two-dimensional soft athermal disks by quasi-static simulations of simple shear deformations. Sharp drops in shear stress, or slip-avalanches, are observed intermittently during steady state. Such stress drops are caused by restructuring of the contact networks, accompanied by drastic changes of the interaction forces, Δf. The changes of the forces happen heterogeneously in space, indicating that collective non-affine motions of the disks are most pronounced when slip-avalanches occur. We analyze and predict the statistics for the force changes, Δf, by transition rates of the contact forces and angles, where slip-avalanches are characterized by wide power-law tails. We find that the transition rates are described by a q-Gaussian distribution regardless of the area fraction of the disks. Because the transition rates quantify structural changes of the force-chains, our findings are an important step towards linking macroscopic observations to a microscopic theory of slip-avalanches in the experimentally accessible quasi-static regime.

Graphical abstract: Transition rates for slip-avalanches in soft athermal disks under quasi-static simple shear deformations

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Publication details

The article was received on 25 Sep 2018, accepted on 28 Feb 2019 and first published on 01 Mar 2019


Article type: Communication
DOI: 10.1039/C8SM01966E
Soft Matter, 2019,15, 3487-3492

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    Transition rates for slip-avalanches in soft athermal disks under quasi-static simple shear deformations

    K. Saitoh, N. Oyama, F. Ogushi and S. Luding, Soft Matter, 2019, 15, 3487
    DOI: 10.1039/C8SM01966E

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