Issue 18, 2020

Quantification of plasticity via particle dynamics above and below yield in a 2D jammed suspension

Abstract

The yield transition of amorphous materials is characterized by a swift increase of energy dissipation. The connection between particle dynamics, dissipation, and overall material rheology, however, has still not been elucidated. Here, we take a new approach relating trajectories to yielding, using a custom built interfacial stress rheometer, which allows for measurement of shear moduli (G′,G′′) of a dense athermal suspension's microstructure while simultaneously tracking particle trajectories undergoing cyclic shear. We find an increase in total area traced by particle trajectories as the system is stressed well below to well above yield. Trajectories may be placed into three categories: reversibly elastic paths; reversibly plastic paths, associated with smooth limit cycles; and irreversibly plastic paths, in which particles do not return to their original position. We find that above yield, reversibly plastic trajectories are predominantly found near to the shearing surface, whereas reversibly elastic paths are more prominent near the stationary wall. This spatial transition between particles acting as liquids to those acting as solids is characteristic of a ‘melting front’, which is observed to shift closer to the wall with increasing strain. We introduce a non-dimensional measure of plastic dissipation based on particle trajectories that scales linearly with strain amplitude both above and below yield, and that is unity at the rheological yield point. Surprisingly, this relation collapses for three systems of varying degrees of disorder.

Graphical abstract: Quantification of plasticity via particle dynamics above and below yield in a 2D jammed suspension

Supplementary files

Article information

Article type
Paper
Submitted
18 Dec 2019
Accepted
30 Mar 2020
First published
31 Mar 2020

Soft Matter, 2020,16, 4373-4382

Author version available

Quantification of plasticity via particle dynamics above and below yield in a 2D jammed suspension

K. L. Galloway, D. J. Jerolmack and P. E. Arratia, Soft Matter, 2020, 16, 4373 DOI: 10.1039/C9SM02482D

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