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National Academy of Sciences, Proceedings of the National Academy of Sciences, 36(106), p. 15186-15191, 2009

DOI: 10.1073/pnas.0905330106

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Glass rheology: From mode-coupling theory to a dynamical yield criterion

Journal article published in 2009 by Joseph M. Brader, Thomas-H. Voigtmann ORCID, Matthias Fuchs, Ronald G. Larson, Michael E. Cates
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

The mode coupling theory (MCT) of glasses, while offering an incomplete description of glass transition physics, represents the only established route to first-principles prediction of rheological behavior in nonergodic materials such as colloidal glasses. However, the constitutive equations derivable from MCT are somewhat intractable, hindering their practical use and also their interpretation. Here, we present a schematic (single-mode) MCT model which incorporates the tensorial structure of the full theory. Using it, we calculate the dynamic yield surface for a large class of flows.