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Model of Friction with Plastic Contact Nudging: Amontons-Coulomb Laws, Aging of Static Friction, and Nonmonotonic Stribeck Curves with Finite Quasistatic Limit (2023)
Journal Article
Fielding, S. M. (2023). Model of Friction with Plastic Contact Nudging: Amontons-Coulomb Laws, Aging of Static Friction, and Nonmonotonic Stribeck Curves with Finite Quasistatic Limit. Physical Review Letters, 130(17), Article 178203. https://doi.org/10.1103/physrevlett.130.178203

We introduce a model of friction between two contacting (stationary or cosliding) rough surfaces, each comprising a random ensemble of polydisperse hemispherical bumps. In the simplest version of the model, the bumps experience on contact with each o... Read More about Model of Friction with Plastic Contact Nudging: Amontons-Coulomb Laws, Aging of Static Friction, and Nonmonotonic Stribeck Curves with Finite Quasistatic Limit.

Yielding, shear banding, and brittle failure of amorphous materials (2022)
Journal Article
Pollard, J., & Fielding, S. M. (2022). Yielding, shear banding, and brittle failure of amorphous materials. Physical Review Research, 4(4), Article 043037. https://doi.org/10.1103/physrevresearch.4.043037

Widespread processes in nature and technology are governed by the dynamical transition whereby a material in an initially solid-like state, whether soft or hard, then yields. Major unresolved questions concern whether any material will yield smoothly... Read More about Yielding, shear banding, and brittle failure of amorphous materials.

Perspectives on viscoelastic flow instabilities and elastic turbulence (2022)
Journal Article
Datta, S. S., Ardekani, A. M., Arratia, P. E., Beris, A. N., Bischofberger, I., McKinley, G. H., …Stone, H. A. (2022). Perspectives on viscoelastic flow instabilities and elastic turbulence. Physical Review Fluids, 7(8), Article 080701. https://doi.org/10.1103/physrevfluids.7.080701

Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary Newtonian fluids... Read More about Perspectives on viscoelastic flow instabilities and elastic turbulence.

Power fluctuations in sheared amorphous materials: A minimal model (2022)
Journal Article
Ekeh, T., Fodor, É., Fielding, S. M., & Cates, M. E. (2022). Power fluctuations in sheared amorphous materials: A minimal model. Physical Review E, 105(5), Article L052601. https://doi.org/10.1103/physreve.105.l052601

The importance of mesoscale fluctuations in flowing amorphous materials is widely accepted, without a clear understanding of their role. We propose a mean-field elastoplastic model that admits both stress and strain-rate fluctuations, and investigate... Read More about Power fluctuations in sheared amorphous materials: A minimal model.

Shear-Driven Solidification and Nonlinear Elasticity in Epithelial Tissues (2022)
Journal Article
Huang, J., Cochran, J. O., Fielding, S. M., Marchetti, M. C., & Bi, D. (2022). Shear-Driven Solidification and Nonlinear Elasticity in Epithelial Tissues. Physical Review Letters, 128(17), https://doi.org/10.1103/physrevlett.128.178001

Biological processes, from morphogenesis to tumor invasion, spontaneously generate shear stresses inside living tissue. The mechanisms that govern the transmission of mechanical forces in epithelia and the collective response of the tissue to bulk sh... Read More about Shear-Driven Solidification and Nonlinear Elasticity in Epithelial Tissues.

Wall slip and bulk yielding in soft particle suspensions (2021)
Journal Article
Jung, G., & Fielding, S. M. (2021). Wall slip and bulk yielding in soft particle suspensions. Journal of Rheology, 65(2), Article 199. https://doi.org/10.1122/8.0000171

We simulate a dense athermal suspension of soft particles sheared between hard walls of a prescribed roughness profile, fully accounting for the fluid mechanics of the solvent between the particles and for the solid mechanics of changes in the partic... Read More about Wall slip and bulk yielding in soft particle suspensions.

Aging in a mean field elastoplastic model of amorphous solids (2020)
Journal Article
Parley, J. T., Fielding, S. M., & Sollich, P. (2020). Aging in a mean field elastoplastic model of amorphous solids. Physics of Fluids, 32(12), Article 127104. https://doi.org/10.1063/5.0033196

We construct a mean-field elastoplastic description of the dynamics of amorphous solids under arbitrary time-dependent perturbations, building on the work of Lin and Wyart [Phys. Rev. X 6, 011005 (2016)] for steady shear. Local stresses are driven by... Read More about Aging in a mean field elastoplastic model of amorphous solids.

Ductile and Brittle Yielding in Thermal and Athermal Amorphous Materials (2020)
Journal Article
Barlow, H. J., Cochran, J. O., & Fielding, S. M. (2020). Ductile and Brittle Yielding in Thermal and Athermal Amorphous Materials. Physical Review Letters, 125(16), Article 168003. https://doi.org/10.1103/physrevlett.125.168003

We study theoretically the yielding of sheared amorphous materials as a function of increasing levels of initial sample annealing prior to shear, in three widely used constitutive models and three widely studied annealing protocols. In thermal system... Read More about Ductile and Brittle Yielding in Thermal and Athermal Amorphous Materials.

Interplay of edge fracture and shear banding in complex fluids (2020)
Journal Article
Hemingway, E. J., & Fielding, S. M. (2020). Interplay of edge fracture and shear banding in complex fluids. Journal of Rheology, 64(5), Article 1147. https://doi.org/10.1122/8.0000086

We explore theoretically the interplay between shear banding and edge fracture in complex fluids by performing a detailed simulation study within two constitutive models: the Johnson–Segalman model and the Giesekus model. We consider separately param... Read More about Interplay of edge fracture and shear banding in complex fluids.

Elastoviscoplastic rheology and aging in a simplified soft glassy constitutive model (2020)
Journal Article
Fielding, S. M. (2020). Elastoviscoplastic rheology and aging in a simplified soft glassy constitutive model. Journal of Rheology, 64(3), Article 723. https://doi.org/10.1122/1.5140465

Yield stress fluids display a rich rheological phenomenology. Beyond the defining existence of a yield stress in the steady state flow curve, this includes, in many materials, rather flat viscoelastic spectra over many decades of frequency in small a... Read More about Elastoviscoplastic rheology and aging in a simplified soft glassy constitutive model.

Slow Coarsening in Jammed Athermal Soft Particle Suspensions (2019)
Journal Article
Chacko, R., Sollich, P., & Fielding, S. (2019). Slow Coarsening in Jammed Athermal Soft Particle Suspensions. Physical Review Letters, 123(10), Article 108001. https://doi.org/10.1103/physrevlett.123.108001

We simulate a densely jammed, athermal assembly of repulsive soft particles immersed in a solvent. Starting from an initial condition corresponding to a quench from a high temperature, we find nontrivial slow dynamics driven by a gradual release of s... Read More about Slow Coarsening in Jammed Athermal Soft Particle Suspensions.

Edge fracture instability in sheared complex fluids: Onset criterion and possible mitigation strategy (2019)
Journal Article
Hemingway, E. J., & Fielding, S. M. (2019). Edge fracture instability in sheared complex fluids: Onset criterion and possible mitigation strategy. Journal of Rheology, 63(5), https://doi.org/10.1122/1.5095717

We perform a detailed theoretical study of the edge fracture instability, which commonly destabilizes the fluid-air interface during strong shear flows of entangled polymeric fluids, leading to unreliable rheological measurements. By means of direct... Read More about Edge fracture instability in sheared complex fluids: Onset criterion and possible mitigation strategy.

Linear instability of shear thinning pressure driven channel flow (2019)
Journal Article
Barlow, H., Hemingway, E., Clarke, A., & Fielding, S. (2019). Linear instability of shear thinning pressure driven channel flow. Journal of Non-Newtonian Fluid Mechanics, 270, 66-78. https://doi.org/10.1016/j.jnnfm.2019.07.004

We study theoretically pressure driven planar channel flow of shear thinning viscoelastic fluids. Combining linear stability analysis and full nonlinear simulation, we study the instability of an initially one-dimensional base state to the of two-dim... Read More about Linear instability of shear thinning pressure driven channel flow.

Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions (2018)
Journal Article
Chacko, R., Mari, R., Cates, M., & Fielding, S. (2018). Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions. Physical Review Letters, 121(10), Article 108003. https://doi.org/10.1103/physrevlett.121.108003

It has recently been argued that steady-state vorticity bands cannot arise in shear thickening suspensions because the normal stress imbalance across the interface between the bands will set up particle migrations. In this Letter, we develop a simple... Read More about Dynamic Vorticity Banding in Discontinuously Shear Thickening Suspensions.

Shear Reversal in Dense Suspensions: The Challenge to Fabric Evolution Models from Simulation Data (2018)
Journal Article
Chacko, R. N., Mari, R., Fielding, S. M., & Cates, M. E. (2018). Shear Reversal in Dense Suspensions: The Challenge to Fabric Evolution Models from Simulation Data. Journal of Fluid Mechanics, 847, 700-734. https://doi.org/10.1017/jfm.2018.279

Dense suspensions of hard particles are important as industrial or environmental materials (e.g. fresh concrete, food, paint or mud). To date, most constitutive models developed to describe them are, explicitly or effectively, ‘fabric evolution model... Read More about Shear Reversal in Dense Suspensions: The Challenge to Fabric Evolution Models from Simulation Data.

Edge-Induced Shear Banding in Entangled Polymeric Fluids (2018)
Journal Article
Hemingway, E. J., & Fielding, S. M. (2018). Edge-Induced Shear Banding in Entangled Polymeric Fluids. Physical Review Letters, 120(13), Article 138002. https://doi.org/10.1103/physrevlett.120.138002

Despite decades of research, the question of whether solutions and melts of highly entangled polymers exhibit shear banding as their steady state response to a steadily imposed shear flow remains controversial. From a theoretical viewpoint, an import... Read More about Edge-Induced Shear Banding in Entangled Polymeric Fluids.

Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of soft glassy materials (2018)
Journal Article
Radhakrishnan, R., & Fielding, S. M. (2018). Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of soft glassy materials. Journal of Rheology, 62(2), 559-576. https://doi.org/10.1122/1.5023381

We study theoretically shear banding in soft glassy materials subject to large amplitude time-periodic shear flows, considering separately the protocols of large amplitude oscillatory shear strain, large amplitude square or triangular or sawtooth str... Read More about Shear banding in large amplitude oscillatory shear (LAOStrain and LAOStress) of soft glassy materials.

Thickening of viscoelastic flow in a model porous medium (2017)
Journal Article
Hemingway, E., Clarke, A., Pearson, J., & Fielding, S. (2017). Thickening of viscoelastic flow in a model porous medium. Journal of Non-Newtonian Fluid Mechanics, 251, 56-68. https://doi.org/10.1016/j.jnnfm.2017.11.002

We study numerically two-dimensional creeping viscoelastic flow past a biperiodic square array of cylinders within the Oldroyd B, FENE-CR and FENE-P constitutive models of dilute polymer solutions. Our results capture the initial mild decrease then d... Read More about Thickening of viscoelastic flow in a model porous medium.

Edge Fracture in Complex Fluids (2017)
Journal Article
Hemingway, E. J., Kusumaatmaja, H., & Fielding, S. M. (2017). Edge Fracture in Complex Fluids. Physical Review Letters, 119(2), Article 028006. https://doi.org/10.1103/physrevlett.119.028006

We study theoretically the edge fracture instability in sheared complex fluids, by means of linear stability analysis and direct nonlinear simulations. We derive an exact analytical expression for the onset of edge fracture in terms of the shear-rate... Read More about Edge Fracture in Complex Fluids.

Understanding rheological hysteresis in soft glassy materials (2017)
Journal Article
Radhakrishnan, R., Divoux, T., Manneville, S., & Fielding, S. M. (2017). Understanding rheological hysteresis in soft glassy materials. Soft Matter, 13(9), 1834-1852. https://doi.org/10.1039/c6sm02581a

Motivated by recent experimental studies of rheological hysteresis in soft glassy materials, we study numerically strain rate sweeps in simple yield stress fluids and viscosity bifurcating yield stress fluids. Our simulations of downward followed by... Read More about Understanding rheological hysteresis in soft glassy materials.