Stress Overshoots in Simple Yield Stress Fluids

Abstract

Soft glassy materials such as mayonnaise, wet clays, or dense microgels display under external shear a solid-to-liquid transition. Such a shear-induced transition is often associated with a non-monotonic stress response, in the form of a stress maximum referred to as "stress overshoot". This ubiquitous phenomenon is characterized by the coordinates of the maximum in terms of stress ${\sigma }_{\text{M}}$ and strain ${\gamma }_{\text{M}}$ that both increase as weak power laws of the applied shear rate. Here we rationalize such power-law scalings using a continuum model that predicts two different regimes in the limit of low and high applied shear rates. The corresponding exponents are directly linked to the steady-state rheology and are both associated with the nucleation and growth dynamics of a fluidized region. Our work offers a consistent framework for predicting the transient response of soft glassy materials upon start-up of shear from the local flow behavior to the global rheological observables.

5 pages, 4 figures, supplemental materials with 2 figures

References in corpus (7)

• Stress localization, stiffening and yielding in a model colloidal gel
• From Equilibrium to Steady State: The Transient Dynamics of Colloidal Liquids under Shear
• Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory
• Long-lived neighbors determine the rheological response of glasses
• Microscopic origin of nonlinear non-affine deformation and stress overshoot in bulk metallic glasses
• Heterogeneous dynamics during yielding of glasses: effect of aging
• Continuum modelling of shear start-up in soft glassy materials

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• A Solid-Based Approach for Modeling Simple Yield-Stress Fluids: Rheological Transitions, Overshoot and Relaxation