Unified theoretical and experimental view on transient shear banding

Abstract

Dense emulsions, colloidal gels, microgels, and foams all display a solid-like behavior at rest characterized by a yield stress, above which the material flows like a liquid. Such a fluidization transition often consists of long-lasting transient flows that involve shear-banded velocity profiles. The characteristic time for full fluidization, ${\tau }_{\text{f}}$, has been reported to decay as a power-law of the shear rate $\dot{\gamma }$ and of the shear stress $\sigma$ with respective exponents $\alpha$ and $\beta$. Strikingly, the ratio of these exponents was empirically observed to coincide with the exponent of the Herschel-Bulkley law that describes the steady-state flow behavior of these complex fluids. Here we introduce a continuum model, based on the minimization of a "free energy", that captures quantitatively all the salient features associated with such \textit{transient} shear-banding. More generally, our results provide a unified theoretical framework for describing the yielding transition and the steady-state flow properties of yield stress fluids.

arXiv comment5 pages, 4 figures - supplemental 6 pages, 4 figures

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Cited by in corpus (10)

• Ductile-to-brittle transition and yielding in soft amorphous materials: perspectives and open questions
• Stress Overshoots in Simple Yield Stress Fluids
• Emergence and persistence of flow inhomogeneities in the yielding and fluidization of dense soft solids
• Scaling description of creep flow in amorphous solids
• Continuum modelling of shear start-up in soft glassy materials
• Microscopic Activated Dynamics Theory of the Shear Rheology and Stress Overshoot in Ultra-Dense Glass-Forming Fluids and Colloidal Suspensions
• Interplay between wall slip and shear banding in a thixotropic yield stress fluid
• Continuum modeling of Soft Glassy Materials under shear
• Yield Stress Fluids Solidifying in Capillary Imbibition
• Athermal creep deformation of ultrastable amorphous solids