DOI: 10.1073/pnas.0905330106. Glass rheology: From mode-coupling theory to a dynamical yield criterion

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

10.1073/pnas.0905330106

Crossref journal-article

Proceedings of the National Academy of Sciences

Proceedings of the National Academy of Sciences (341)

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.

Bibliography

Brader, J. M., Voigtmann, T., Fuchs, M., Larson, R. G., & Cates, M. E. (2009). Glass rheology: From mode-coupling theory to a dynamical yield criterion. Proceedings of the National Academy of Sciences, 106(36), 15186â15191.

Authors 5

Joseph M. Brader (first)
Thomas Voigtmann (additional)
Matthias Fuchs (additional)
Ronald G. Larson (additional)
Michael E. Cates (additional)

References 27 Referenced 122

C Truesdell, W Noll The Nonlinear Field Theories of Mechanics (Springer, Berlin, 1965). / The Nonlinear Field Theories of Mechanics by Truesdell C (1965)
M Doi, SF Edwards The Theory of Polymer Dynamics (Oxford Univ Press, Oxford, 1989). / The Theory of Polymer Dynamics by Doi M (1989)
RG Larson Constitutive Equations for Polymer Melts and Solutions (Butterworth, Boston, 1988). / Constitutive Equations for Polymer Melts and Solutions by Larson RG (1988)
10.1080/00018730210153216
10.1080/00018730601082029
10.1122/1.551088
10.1103/PhysRevLett.99.028301
10.1103/PhysRevLett.98.198305
10.1103/PhysRevLett.96.135701
10.1103/PhysRevE.78.041501
10.1209/epl/i2004-10044-6
10.1122/1.1814114
10.1103/PhysRevLett.89.248304
10.1103/PhysRevLett.98.058301
10.1103/PhysRevLett.101.138301
10.1088/0034-4885/55/3/001
10.1039/b205629a
10.1088/0953-8984/17/20/003
10.1122/1.3119084
10.1098/rsta.2009.0191
10.1063/1.2921801
10.1122/1.3093088
10.1140/epje/i2008-10361-0
10.1088/0953-8984/20/40/404210
10.1088/0953-8984/16/38/013
10.1209/epl/i2006-10156-y
R Hill The Mathematical Theory of Plasticity (Oxford Univ Press, Oxford, 1971). / The Mathematical Theory of Plasticity by Hill R (1971)

Dates

Type	When
Created	16 years ago (Aug. 14, 2009, 9:47 p.m.)
Deposited	3 years, 4 months ago (April 12, 2022, 6:05 p.m.)
Indexed	3 weeks, 4 days ago (Aug. 6, 2025, 8:19 a.m.)
Issued	15 years, 11 months ago (Sept. 8, 2009)
Published	15 years, 11 months ago (Sept. 8, 2009)
Published Online	15 years, 11 months ago (Sept. 8, 2009)
Published Print	15 years, 11 months ago (Sept. 8, 2009)

Funders 0

None

BibTeX

@article{Brader_2009, title={Glass rheology: From mode-coupling theory to a dynamical yield criterion}, volume={106}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.0905330106}, DOI={10.1073/pnas.0905330106}, number={36}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Brader, Joseph M. and Voigtmann, Thomas and Fuchs, Matthias and Larson, Ronald G. and Cates, Michael E.}, year={2009}, month=sep, pages={15186–15191} }

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