2014
DOI: 10.1039/c4sm00247d
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Mode-coupling analysis of residual stresses in colloidal glasses

Abstract: We present results from computer simulation and mode-coupling theory of the glass transition for the nonequilibrium relaxation of stresses in a colloidal glass former after the cessation of shear flow. In the ideal glass, persistent residual stresses are found that depend on the flow history. The partial decay of stresses from the steady state to this residual stress is governed by the previous shear rate. We rationalize this observation in a schematic model of mode-coupling theory. The results from Brownian-d… Show more

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Cited by 17 publications
(11 citation statements)
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“…3 are marked with the dashed lines. Both systems, permeable and impermeable, show a decrease in relaxation time with increasing Pe, which is in accordance with the work of Mohan et al [23,35] and Fritschi et al [54]. However, at a given Pe, permeable particles are found to relax on shorter time scales than impermeable particles of the same elastic modulus, particularly for systems with low S * .…”
Section: Stress Relaxationsupporting
confidence: 90%
“…3 are marked with the dashed lines. Both systems, permeable and impermeable, show a decrease in relaxation time with increasing Pe, which is in accordance with the work of Mohan et al [23,35] and Fritschi et al [54]. However, at a given Pe, permeable particles are found to relax on shorter time scales than impermeable particles of the same elastic modulus, particularly for systems with low S * .…”
Section: Stress Relaxationsupporting
confidence: 90%
“…In the glass, MCT describes temporal memory that can stretch back arbitrarily far in time, and as a result, stresses do not relax to zero, but to a finite residual-stress value that depends on the initial flow rate. These residual stresses have been confirmed in molecular-dynamics and BD simulations and different experiments on various colloidal hard-sphere-like systems [112,113]. Phenomenologically, residual stresses are known to exist in quenched glasses; they are exploited technologically to tune the macroscopic mechanical performance of materials produced from the melt, e.g., in safety glasses.…”
Section: Cessation Dynamicsmentioning
confidence: 67%
“…Upper panels: stress relaxation after cessation of shear flow from the nonequilibrium stationary state at a shear-rateγ switched off at t = 0 (adapted from Ref [112]…”
mentioning
confidence: 99%
“…This is not surprising because the model was initially devised as a rheological model to study the interplay of aging dynamics and shear flow in glassy materials (Fielding et al, 2000;Sollich, 1998). By contrast, the mode-coupling approach developed in (Fuchs and Cates, 2009) does not include aging effects, and so it cannot describe the slow relaxation of the stress after flow cessation or the subdiffusive particle displacements observed in experiments (Ballauff et al, 2013;Fritschi et al, 2014), and predicts instead a fast convergence to an arrested state with a finite residual stress.…”
Section: (B)mentioning
confidence: 99%