Residual Stresses in Glasses

Abstract

The history dependence of the glasses formed from flow-melted steady states by a sudden cessation of the shear rate $\dot{\gamma }$ is studied in colloidal suspensions, by molecular dynamics simulations, and mode-coupling theory. In an ideal glass, stresses relax only partially, leaving behind a finite persistent residual stress. For intermediate times, relaxation curves scale as a function of $\dot{\gamma }t$, even though no flow is present. The macroscopic stress evolution is connected to a length scale of residual liquefaction displayed by microscopic mean-squared displacements. The theory describes this history dependence of glasses sharing the same thermodynamic state variables, but differing static properties.

submitted to Physical Review

References in corpus (12)

• Three-dimensional imaging of colloidal glasses under steady shear
• Glass Rheology: From mode-coupling theory to a dynamical yield criterion
• A mode coupling theory for Brownian particles in homogeneous steady shear flow
• Viscoelasticity and shear flow of concentrated, non-crystallizing colloidal suspensions: Comparison with Mode-Coupling Theory
• From Equilibrium to Steady State: The Transient Dynamics of Colloidal Liquids under Shear
• Nonequilibrium spin glass dynamics from picoseconds to 0.1 seconds
• Tensorial Constitutive Models for Disordered Foams, Dense Emulsions, and other Soft Nonergodic Materials
• Fluctuation dissipation relations in stationary states of interacting Brownian particles under shear
• The cooling rate dependence of the shear modulus of amorphous solids
• Heterogeneous shear in hard sphere glasses
• On the Bauschinger effect in supercoooled melts under shear: results from mode coupling theory and molecular dynamics simulations
• Schematic Mode Coupling Theory of Glass Rheology: Single and Double Step Strains

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