Issue 15, 2012
From the journal:

Soft Matter

Schematic mode coupling theory of glass rheology: single and double step strains

Th. Voigtmann,abc   J. M. Brader,d   M. Fuchsa  and  M. E. Cates*e  

* Corresponding authors

a Fachbereich Physik, Universität Konstanz, Konstanz, Germany

b Zukunftskolleg, Universität Konstanz, Konstanz, Germany

c Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), Köln, Germany

d Department of Physics, University of Fribourg, Fribourg, Switzerland

e SUPA, School of Physics and Astronomy, University of Edinburgh, Mayfield Road, Edinburgh, Scotland

Abstract

Mode coupling theory (MCT) has had notable successes in addressing the rheology of hard-sphere colloidal glasses, and also soft colloidal glasses such as star-polymers. Here, we explore the properties of a recently developed MCT-based schematic constitutive equation under idealized experimental protocols involving single and then double step strains. We find strong deviations from expectations based on factorable, BKZ-type constitutive models. Specifically, a nonvanishing stress remains long after the application of two equal and opposite step strains; this residual stress is a signature of plastic deformation. We also discuss the distinction between hypothetically instantaneous step strains and fast ramps. These are not generally equivalent in our MCT approach, with the latter more likely to capture the physics of experimental ‘step’ strains. The distinction points to the different role played by reversible anelastic, and irreversible plastic rearrangements.

Graphical abstract: Schematic mode coupling theory of glass rheology: single and double step strains

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Article information

DOI
https://doi.org/10.1039/C2SM06891E
Article type
Paper
Submitted
04 Oct 2011
Accepted
05 Jan 2012
First published
03 Feb 2012

Soft Matter, 2012,8, 4244-4253

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Schematic mode coupling theory of glass rheology: single and double step strains

Th. Voigtmann, J. M. Brader, M. Fuchs and M. E. Cates, Soft Matter, 2012, 8, 4244 DOI: 10.1039/C2SM06891E

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