Journal of Non-Newtonian Fluid Mechanics, Vol.165, No.9-10, 519-526, 2010
The mathematics of myth: Yield stress behavior as a limit of non-monotone constitutive theories
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.