Shear waves and shocks in soft solids

Tabuteau, Hervé; Sikorski, Darek; Bruyn, John R. de

doi:10.1103/physreve.75.012201

Cited by 7 publications

(8 citation statements)

References 17 publications

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“…Moreover, in experimental regimes where nonlinear viscous effects are dominant, reasonable comparisons with computed drag coefficients have been obtained; see e.g. [38].…”

Section: Introductionmentioning

confidence: 89%

“…[34]), and to account for possible slip, but also elastic and thixotropic effects can be present in certain regimes, see e.g. [37][38][39][40][41][42]. For example, in [39] detailed PIV studies of the velocity fields around spherical particles at extremely low speeds revealed significant asymmetry, which would not be present in any generalised Newtonian visco-plastic model.…”

Section: Introductionmentioning

confidence: 95%

“…A number of authors have conducted experiments with Carbopol, e.g. [32][33][34][35][36][37][38][39]. Other authors have considered aging effects with clay suspensions (bentonite, laponite), e.g.…”

Section: Introductionmentioning

confidence: 98%

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Creeping flow around particles in a Bingham fluid

Pütz

Frigaard

2010

Journal of Non-Newtonian Fluid Mechanics

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“…Moreover, in experimental regimes where nonlinear viscous effects are dominant, reasonable comparisons with computed drag coefficients have been obtained; see e.g. [38].…”

Section: Introductionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 95%

See 1 more Smart Citation

Creeping flow around particles in a Bingham fluid

Pütz

Frigaard

2010

Journal of Non-Newtonian Fluid Mechanics

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“…The response of the fluid in this regime is less understood, but we assume that it is dominated by both shear banding and a competition between breakage and rejuvenation of the material. 18,19 A hysteresis is evident in regions ͑1͒ and ͑2͒. ͑3͒ Above these limits, i.e., in region ͑3͒, the data are consistent with a Herschel-Bulkley model and the three parameters were estimated through regression ͑see Table I͒.…”

Section: -3mentioning

confidence: 98%

“…12 and 10. In a related paper, 19 the appearance of shear waves generated by the settling sphere is observed and the development of shocks and a Mach cone under supercritical conditions is studied in detail. Recently there has been renewed interest in this problem due to the availability of ͑digital͒ particle image analysis ͑PIV͒.…”

Section: Introductionmentioning

confidence: 99%

Settling of an isolated spherical particle in a yield stress shear thinning fluid

et al. 2008

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We visualize the flow induced by an isolated non-Brownian spherical particle settling in a shear thinning yield stress fluid using particle image velocimetry. With ReϽ 1, we show a breaking of the fore-aft symmetry and relate this to the rheological properties of the fluid. We find that the shape of the yield surface approximates that of an ovoid spheroid with its major axis approximately five times greater than the radius of the particle. The disagreement of our experimental findings with previous numerical simulations is discussed.

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Steady and unsteady shear flows of a viscoplastic fluid in a cylindrical Couette cell

Lacaze

Filella

Thual

2015

Journal of Non-Newtonian Fluid Mechanics

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International audienceAbstract Yield stress fluid flows in Couette cells have been widely studied in the last decades for their intriguingly exhibiting phenomena. In this paper, we use a {PIV} technique to investigate the axisymmetric flow and rheological properties of a Carbopol gel in a relatively wide cylindrical Couette device. Carbopol gel is known to exhibit viscoplastic behavior and is often described using a Herschel–Bulkley law, which is characterized by a plastic yield stress τ y and a shear-dependent nonlinear viscosity. In some cases, the elasticity of the material has to be accounted for to understand the whole dynamics of the system, in particular for unsteady flows as observed in the present study. Two set of experiments are conducted here in order to highlight these different rheological behaviors and the resulting dynamics: (i) a steady shear configuration and (ii) an unsteady shear configuration, in which the angular velocity of the inner cylinder is either constant or time dependent ( sin profile), respectively. In the steady configuration, a simple optimization model, based on the Herschel–Bulkley law, is developed to extract the rheological parameters of the viscoplastic contribution of the gel from the steady velocity fields. Results are shown to be in good agreements with rheological parameters obtained from a standard rheometer. On the other hand, the elastic contribution of the material is highlighted in the unsteady shear configuration, for which a spatio-temporal transition between solid-elastic and fluid behaviors is observed. Different models are proposed to describe the dynamics of the unsteady flow. First, quasi-steady state models allow to predict both the fluid shear zone close to the inner cylinder and the elastic deformation of the material as long as their contributions can be decoupled in space and in time. For more complex dynamics, i.e. when the flow becomes strongly unsteady, an elasto-viscoplastic model is developed to describe the flow dynamics. It is shown to quantitatively reproduce the experimental measurements. Finally, an elastic wave model is derived to describe an elastic front propagating from the inner cylinder to the outer one, and observed at every half forcing period. The front velocity is thus shown to scale on the phase velocity of an elastic wave in a deformable solid

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Shear waves and shocks in soft solids

Cited by 7 publications

References 17 publications

Creeping flow around particles in a Bingham fluid

Creeping flow around particles in a Bingham fluid

Settling of an isolated spherical particle in a yield stress shear thinning fluid

Steady and unsteady shear flows of a viscoplastic fluid in a cylindrical Couette cell

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