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.

arXiv comment5 pages, 4 figures, supplemental materials with 2 figures

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Cited by in corpus (13)

• Ductile-to-brittle transition and yielding in soft amorphous materials: perspectives and open questions
• The yielding of amorphous solids at finite temperatures
• 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
• Quantitative understanding of the onset of dense granular flows
• Flow of gluten with tunable protein composition: from stress undershoot to stress overshoot and strain hardening
• Continuum modeling of Soft Glassy Materials under shear
• Interplay between wall slip and shear banding in a thixotropic yield stress fluid
• Relaxation to steady states of a binary liquid mixture around an optically heated colloid
• Yield Stress Fluids Solidifying in Capillary Imbibition
• Hidden jerk in universal creep and aftershocks
• Dynamical regimes of thermally convective emulsions
• A Solid-Based Approach for Modeling Simple Yield-Stress Fluids: Rheological Transitions, Overshoot and Relaxation