Schematic Mode Coupling Theory of Glass Rheology: Single and Double Step Strains

Abstract

Mode coupling theory (MCT) has had notable successes in addressing the rheology of hard-sphere colloidal glasses, and also soft colloidal glasses such as star-polymers. Here, we explore the properties of a recently developed MCT-based schematic constitutive equation under idealized experimental protocols involving single and then double step strains. We find strong deviations from expectations based on factorable, BKZ-type constitutive models. Specifically, a nonvanishing stress remains long after the application of two equal and opposite step strains; this residual stress is a signature of plastic deformation. We also discuss the distinction between hypothetically instantaneous step strains and fast ramps. These are not generally equivalent in our MCT approach, with the latter more likely to capture the physics of experimental `step' strains. The distinction points to the different role played by reversible anelastic, and irreversible plastic rearrangements.

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Cited by in corpus (9)

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• Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory
• First-Principles Constitutive Equation for Suspension Rheology
• Modeling the Relaxation of Polymer Glasses under Shear and Elongational Loads
• On the Bauschinger effect in supercoooled melts under shear: results from mode coupling theory and molecular dynamics simulations
• Transient stress evolution in repulsion and attraction dominated glasses
• Channel Flow of a Tensorial Shear-Thinning Maxwell Model: Lattice Boltzmann Simulations
• Universal mechanism of shear thinning in supercooled liquids
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