Nonlinear response of dense colloidal suspensions under oscillatory shear: Mode-coupling theory and Fourier transform rheology experiments

J. M. Brader, M. Siebenbürger, M. Ballauff, K. Reinheimer, M. Wilhelm, S. J. Frey, F. Weysser, and M. Fuchs
Phys. Rev. E 82, 061401 – Published 13 December 2010

Abstract

Using a combination of theory, experiment, and simulation we investigate the nonlinear response of dense colloidal suspensions to large amplitude oscillatory shear flow. The time-dependent stress response is calculated using a recently developed schematic mode-coupling-type theory describing colloidal suspensions under externally applied flow. For finite strain amplitudes the theory generates a nonlinear response, characterized by significant higher harmonic contributions. An important feature of the theory is the prediction of an ideal glass transition at sufficiently strong coupling, which is accompanied by the discontinuous appearance of a dynamic yield stress. For the oscillatory shear flow under consideration we find that the yield stress plays an important role in determining the nonlinearity of the time-dependent stress response. Our theoretical findings are strongly supported by both large amplitude oscillatory experiments (with Fourier transform rheology analysis) on suspensions of thermosensitive core-shell particles dispersed in water and Brownian dynamics simulations performed on a two-dimensional binary hard-disk mixture. In particular, theory predicts nontrivial values of the exponents governing the final decay of the storage and loss moduli as a function of strain amplitude which are in good agreement with both simulation and experiment. A consistent set of parameters in the presented schematic model achieves to jointly describe linear moduli, nonlinear flow curves, and large amplitude oscillatory spectroscopy.

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  • Received 12 October 2010

DOI:https://doi.org/10.1103/PhysRevE.82.061401

©2010 The American Physical Society

Authors & Affiliations

J. M. Brader1, M. Siebenbürger2, M. Ballauff2, K. Reinheimer3, M. Wilhelm3, S. J. Frey4, F. Weysser5, and M. Fuchs5

  • 1Department of Physics, University of Fribourg, CH-1700 Fribourg, Switzerland
  • 2Helmholtz Zentrum für Materialien und Energie, D-14109 Berlin, Germany
  • 3Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany
  • 4Institut Charles Sadron, Université de Strasbourg, CNRS UPR 22, 23 rue du Loess, 67034 Strasbourg, France
  • 5Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany

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Issue

Vol. 82, Iss. 6 — December 2010

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