4.4 Article

The mathematics of myth: Yield stress behavior as a limit of non-monotone constitutive theories

Journal

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
Volume 165, Issue 9-10, Pages 519-526

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.jnnfm.2010.02.010

Keywords

Yield stress; Shear banding; Thixotropy

Categories

Funding

  1. National Science Foundation [DMS-0707727]
  2. Institute for Mathematics and its Applications, University of Minnesota

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We formulate a model which can describe fluids with a non-monotone shear stress/shear rate relationship. It is shown how yield stress fluids arise as a limiting case of such a model. Differences between critical stresses for fast and slow yielding, hysteresis phenomena and thixotropy are naturally explained by the model. (c) 2010 Elsevier B.V. All rights reserved.

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