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Amorphous and ordered states of concentrated hard spheres under oscillatory shear

Koumakis, Nick and Brady, John F. and Petekidis, George (2016) Amorphous and ordered states of concentrated hard spheres under oscillatory shear. Journal of Non-Newtonian Fluid Mechanics, 233 . pp. 119-132. ISSN 0377-0257. doi:10.1016/j.jnnfm.2016.02.004.

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Hard sphere colloidal particles are a basic model system to study phase transitions, self-assembly and out-equilibrium states. Experimentally it has been shown that oscillatory shearing of a monodisperse hard sphere glass, produces two different crystal orientations; a face centered cubic (FCC) crystal with the close packed direction parallel to shear at high strains and an FCC crystal with the close packed direction perpendicular to shear at low strains. Here, using Brownian dynamics simulations of hard sphere particles, we have examined high volume fraction shear-induced crystals under oscillatory shear as well their glass counterparts at the same volume fraction. While particle displacements under shear in the glass are almost isotropic, the sheared FCC crystal structures oriented parallel to shear, are anisotropic due to the cooperative motion of velocity–vorticity layers of particles sliding over each other. These sliding layers generally result in lower stresses and less overall particle displacements. Additionally, from the two crystal types, the perpendicular crystal exhibits less stresses and displacements at smaller strains, however at larger strains, the sliding layers of the parallel crystal are found to be more efficient in minimizing stresses and displacements, while the perpendicular crystal becomes unstable. The findings of this work suggest that the process of shear-induced ordering for a colloidal glass is facilitated by large out of cage displacements, which allow the system to explore the energy landscape and find the minima in energy, stresses and displacements by configuring particles into a crystal oriented parallel to shear.

Item Type:Article
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URLURL TypeDescription Paper
Brady, John F.0000-0001-5817-9128
Additional Information:© 2016 Elsevier B.V. Submitted on 12 Jan 2016. N.K. has been supported by the Greek General Secretariat for Research and Technology (Basic Research Program PENED,-03ED566) and Horizon 2020 funding, through H2020-MSCA-IF-2014, ActiDoC No. 654688, from the European Union (EU).
Funding AgencyGrant Number
General Secretariat of Research and Technology (GSRT)PENED-03ED566
European Union (EU)H2020-MSCA-IF-2014
European Union (EU)654688
Subject Keywords:Colloids; Hard-spheres; Shear-induced; Crystals; Glasses; Brownian dynamics
Record Number:CaltechAUTHORS:20160120-151644666
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Official Citation:Nick Koumakis, John F. Brady, George Petekidis, Amorphous and ordered states of concentrated hard spheres under oscillatory shear, Journal of Non-Newtonian Fluid Mechanics, Volume 233, July 2016, Pages 119-132, ISSN 0377-0257, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63809
Deposited By: Ruth Sustaita
Deposited On:21 Jan 2016 00:54
Last Modified:10 Nov 2021 23:21

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