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-dynamics simulations of a glassy two-dimensional hard-disk system are in qualitative agreement with the predictions of the theory.
Highlights
Amorphous so solids that are produced by owing them into shape display residual stresses.[1,2] The internal stresses that build up during ow do not relax fully, so that some part of them persists in the solid that is formed by kinetic arrest in the uid; indefinitely, in the ideal-glass case
This paper is organized as follows: we describe in Section 2 the schematic-mode-coupling theory of the glass transition (MCT) model and give details of the event-driven Brownian-dynamics (ED-BD) simulations we performed
We have analyzed the transient decay of the shear stress a er the cessation of steady shear ow in an ideal-glass model using schematic models of the mode-coupling theory combined with the integration-through transients framework (ITT-MCT)
Summary
Amorphous so solids that are produced by owing them into shape (entailing a quench into a nonequilibrium glassy state) display residual stresses.[1,2] The internal stresses that build up during ow do not relax fully, so that some part of them persists in the solid that is formed by kinetic arrest in the uid; indefinitely, in the ideal-glass case. An early demonstration involves small drops of molten (ordinary window) glass that fall into cold water and solidify very rapidly. These drops, known as Prince Rupert's drops or Dutch tears since the 17th century,[3] have a surprisingly shock-resistant body (capable of withstanding the blow of a hammer) but explode dramatically upon the slightest damage done to their tail.
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