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The mathematics of myth: yield stress behavior as a limit of non-monotone constitutive theories. (English) Zbl 1274.76062

Summary: 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.

MSC:

76A05 Non-Newtonian fluids

References:

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