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Elastoviscoplastic rheology and aging in a simplified soft glassy constitutive model.

Fielding, Suzanne M. (2020) 'Elastoviscoplastic rheology and aging in a simplified soft glassy constitutive model.', Journal of rheology., 64 (3). p. 723.


Yield stress fluids display a rich rheological phenomenology. Beyond the defining existence of a yield stress in the steady state flow curve, this includes, in many materials, rather flat viscoelastic spectra over many decades of frequency in small amplitude oscillatory shear; slow stress relaxation following the sudden imposition of a small shear strain; stress overshoot in shear startup; logarithmic or sublinear power-law creep following the imposition of a shear stress below the yield stress; creep followed by yielding after the imposition of a shear stress above the yield stress; richly featured Lissajous–Bowditch curves in large-amplitude oscillatory shear; a Bauschinger effect, in which a material’s effective yield strain is lowered under straining in one direction, following a preceding strain in the opposite direction; hysteresis in up-down shear rate sweeps; and (in some materials) thixotropy and/or rheological aging. A key challenge is to develop a constitutive model that contains enough underlying mesoscopic physics to have meaningful predictive power for the full gamut of rheological behavior just described, with only a small number of model parameters, yet is simple enough for use in computational fluid dynamics to predict flows in complicated geometries, or complicated flows that arise due to spontaneous symmetry breaking instabilities even in simple geometries. Here, we introduce such a model, motivated by the widely used soft glassy rheology model, and show that it captures all the above rheological features.

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Publisher statement:© 2020 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Fielding, Suzanne M. (2020). Elastoviscoplastic rheology and aging in a simplified soft glassy constitutive model. Journal of Rheology 64(3): 723 and may be found at
Date accepted:29 February 2020
Date deposited:29 April 2020
Date of first online publication:09 April 2020
Date first made open access:09 April 2021

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