Comparison between step strains and slow steady shear in a bubble raft
arXiv:cond-mat/0412500 · doi:10.1103/PhysRevE.71.061401
Abstract
We report on a comparison between stress relaxations after an applied step strain and stress relaxations during slow, continuous strain in a bubble raft. A bubble raft serves as a model two-dimensional foam and consists of a single layer of bubbles on a water surface. For both step strains and continuous strain, one observes periods of stress increase and decrease. Our focus is on the distribution of stress decreases, or stress drops. The work is motivated by apparent disagreements between quasistatic simulations of flowing foam and simulations of continuous strain for foam. Quasistatic simulations have reported larger average stress drops than the continuous strain case. Also, there is evidence in quasistatic simulations for a general divergence of the average size of the stress drops that only appears to occur in steady strain near special values of the foam density. In this work, applied step strains are used as an approximation to quasistatic simulations. We find general agreement in the dependence of the average stress drop on rate of strain, but we do not observe evidence for a divergence of the average stress drop.
References in corpus (11)
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Subextensive Scaling in the Athermal, Quasistatic Limit of Amorphous Matter in Plastic Shear Flow
- Deformation and flow of a two-dimensional foam under continuous shear
- Slow flows of yield stress fluids: complex spatio-temporal behaviour within a simple elasto-plastic model
- Shear-Induced Stress Relaxation in a Two-Dimensional Wet Foam
- Relaxing in foam
- Statistics of Shear-induced Rearrangements in a Model Foam
- Velocity Profiles in Slowly Sheared Bubble Rafts
- Hysteresis and Avalanches in Two Dimensional Foam Rheology Simulations
- Statistics of Bubble Rearrangements in a Slowly Sheared Two-dimensional Foam
- Nonlinear Stress Fluctuation Dynamics of Sheared Disordered Wet Foam
Cited by in corpus (7)
- Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids
- Impact of boundaries on velocity profiles in bubble rafts
- Athermal Shear-Transformation-Zone Theory of Amorphous Plastic Deformation II: Analysis of Simulated Amorphous Silicon
- Yield drag in a two-dimensional foam flow around a circular obstacle: Effect of liquid fraction
- Flow transitions in two-dimensional foams
- Clogging and avalanches in quasi-two-dimensional emulsion hopper flow
- Nonaffine deformation under compression and decompression of a flow-stabilized solid