A mesoscopic model for the rheology of soft amorphous solids, with application to mi- crochannel flows
arXiv:1306.2212 · doi:10.1039/c3fd00067b
Abstract
We study a mesoscopic model for the flow of amorphous solids. The model is based on the key features identified at the microscopic level, namely peri- ods of elastic deformation interspersed with localised rearrangements of parti- cles that induce long-range elastic deformation. These long-range deformations are derived following a continuum mechanics approach, in the presence of solid boundaries, and are included in full in the model. Indeed, they mediate spatial cooperativity in the flow, whereby a localised rearrangement may lead a distant region to yield. In particular, we simulate a channel flow and find manifestations of spatial cooperativity that are consistent with published experimental obser- vations for concentrated emulsions in microchannels. Two categories of effects are distinguished. On the one hand, the coupling of regions subject to different shear rates, for instance,leads to finite shear rate fluctuations in the seemingly un- sheared "plug" in the centre of the channel. On the other hand, there is convinc- ing experimental evidence of a specific rheology near rough walls. We discuss diverse possible physical origins for this effect, and we suggest that it may be associated with the bumps of particles into surface asperities as they slide along the wall.
References in corpus (13)
- Strain localization in a shear transformation zone model for amorphous solids
- Spatio-temporal dynamics of wormlike micelles under shear
- Shear banding, aging and noise dynamics in soft glassy materials
- Spontaneous formation of permanent shear bands in a mesoscopic model of flowing disordered matter
- Wall slip and flow of concentrated hard-sphere colloidal suspensions
- Wide-gap Couette flows of dense emulsions: Local concentration measurements, and comparison between macroscopic and local constitutive law measurements through magnetic resonance imaging
- Shear zones and wall slip in the capillary flow of concentrated colloidal suspensions
- Slip and flow of hard-sphere colloidal glasses
- Velocity oscillations in confined channel flows of concentrated colloidal suspensions
- Influence of boundary conditions on yielding in a soft glassy material
- On the study of local stress rearrangements during quasistatic plastic shear of a model glass: do local stress components contain enough information?
- Spatial cooperativity in microchannel flows of soft jammed materials: A mesoscopic approach
- Experimental Investigation of Plastic Deformations Before Granular Avalanche
Cited by in corpus (9)
- Rheology of athermal amorphous solids: Revisiting simplified scenarios and the concept of mechanical noise temperature
- Ductile-to-brittle transition and yielding in soft amorphous materials: perspectives and open questions
- Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
- Diffusion in mesoscopic lattice models of amorphous plasticity
- Theory of rheology in confinement
- Poiseuille flow of soft glasses in narrow channels: From quiescence to steady state
- Viscoelastic Interfaces Driven in Disordered Media and Applications to Friction
- Wall effects on spatial correlations of non-affine strain in a 3D model glass
- Wall slip and bulk yielding in soft particle suspensions