Rheology in dense assemblies of spherocylinders: Frictional vs. frictionless

Nath, Trisha; Heussinger, Claus

doi:10.1140/epje/i2019-11925-5

Cited by 15 publications

(30 citation statements)

References 49 publications

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“…J , by fitting the viscosity maximum at large stresses to η max ∼ (φ 1 J − φ) −2 ≡ ∆φ −2 1 . I here find that the maximum observed for φ 1 J for µ p = 0.5 is much less pronounced than the one for φ 0 J , and it even absent for µ p = 1, this time in good agreement with what is measured for dry granular systems [Trulsson, 2018;Nath and Heussinger, 2019].The evolutions of φ 0 J and φ 1 J as a function of α are such that the contrast φ 0 J − φ 1 J is maximal in the range α = 1.5 − 2. The larger this contrast is, the wider is the range of volume fractions over which the system exhibits discontinuous shear thickening and shear jamming.…”

supporting

confidence: 90%

“…;Nath and Heussinger, 2019;Trulsson, 2018], I do not find a plateau for α 1.5. In the dry case, this plateau was observed only for frictionless particles and was attributed to the rather strong ordering under shear.…”

mentioning

confidence: 60%

“…It is likely that for the present suspensions, lubrication plays a similar role to friction in creating torques that destabilize particles alignment. Indeed, I will show later on that the degree of order observed in my simulations is smaller than what was observed in dry granular systems, whether in two[Trulsson, 2018] or three[Nagy et al, 2017;Nath and Heussinger, 2019] dimensions of space.InFig. 2, I also follow the same procedure for determining the jamming volume fraction for the frictional branch φ 1…”

mentioning

confidence: 65%

“…It increases at low α, and then plateaus [Trulsson, 2018;Nath and Heussinger, 2019] or keeps increasing [Nagy et al, 2017] at large aspect ratios. On the contrary, for large friction coefficients (typically µ p 1), jamming occurs at volume fractions decreasing with α on the entire range of α studied [Trulsson, 2018;Nath and Heussinger, 2019]. However, in all cases, for a given shape, the jamming volume fraction decreases with increasing friction coefficient, which is a sufficient condition to observe shear thickening for suspensions of repulsive particles.…”

Section: Introductionmentioning

confidence: 95%

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Shear thickening of suspensions of dimeric particles

Mari

2020

Journal of Rheology

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arXiv:2001.08631v2 [cond-mat.soft] 5 Mar 2020 Lerner, Düring, and Wyart, 2012]. The value of the exponent ν is debated [Lerner, Düring, and Wyart, 2012;Gallier et al., 2014a;Mari et al., 2014;Ness and Sun, 2015], the most typical value for spherical particles in the literature being ν = 2 Hermes et al., 2016;Guy et al., 2018]. For long rods, Tapia et al. [2017] measure ν = 1. Shear thickening stems from the fact that φ J , is at a higher value, φ 0 J , for frictionless particles than for frictional ones, at φ 1 J < φ 0 J . Because frictional contacts only exist at large stresses, due to the fact that under small stresses repulsive forces prevent them to form, the suspension has a stress dependent jamming point, φ J (σ), such that η is an increasing function of σ.This scenario is a priori independent of the particle shape. While it has been tested mostly with suspensions of spherical particles, it is expected to be equally valid for suspensions of nonspherical particles, and many such suspensions are known to shear thicken in a qualitatively same way than spherical particles. Cornstarch suspension is the most famous example [Brown and Jaeger, 2009;Fall et al., 2012;Oyarte Gálvez et al., 2017], but suspensions of synthetized particles were also studied [Egres and Wagner, 2005;Brown et al., 2011;Royer et al., 2015;James et al., 2019;Rathee et al., 2019]. Most industrial suspensions known to shear thicken, such as cement paste [Lootens et al., 2004;Papo and Piani, 2004;Feys, Verhoeven, and De Schutter, 2009;Toussaint, Roy, and Jézéquel, 2009;Roussel et al., 2010], suspensions used for mechanical polishing such as fumed silica [Crawford et al., 2012;Amiri, Øye, and Sjöblom, 2012] or quartz powder suspensions [Freundlich and Roder, 1938], fresh paints and coatings [Zupančič, Lapasin, and Žumer, 1997;Khandavalli and Rothstein, 2016], or molten chocolate [Blanco et al., 2019], also contain particles of varied non-spherical shapes. Numerical simulations of suspensions of frictional and repulsive aspherical particles also showed shear thickening [Lorenz et al., 2018].The major difference with spherical particles comes from the different values for φ 0 J and φ 1 J (although other differences exist, e.g. the exponent of the viscosity divergence close to jamming [Tapia et al., 2017]). Indeed, it is known that the jamming point for isotropic random packings generically depends on the shape of the particles [Torquato and Stillinger, 2010;Jiao and Torquato, 2011;Baule and Makse, 2014]. For families of axisymmetric shapes (like axisymmetric ellipsoids, rods, spherocylinders, etc), which can be characterized by one scalar value, the aspect ratio α (the ratio between particle length and width), the behavior is non-monotonic as a function of α. Starting from spheres (α = 1), the jamming volume fraction generally increases up to a maximum reached in the α = 1.2 − 2 range, and then decreases with increasing α for larger aspect ratios [A similar orientation is found in dense suspensions [Egres and Wagner, 2005;Rathee et al., 2019], alt...

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confidence: 90%

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confidence: 60%

mentioning

confidence: 65%

Section: Introductionmentioning

confidence: 95%

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Shear thickening of suspensions of dimeric particles

Mari

2020

Journal of Rheology

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“…We assume a uniform constant mass density for both our small and big particles. One of the distinguishing features of aspherical particles in simple shear flow is that they tumble as they flow, and that they show a finite nematic orientational ordering S 2 [8,[11][12][13][14][15][16][17][18], with the spines of the spherocylinders tending to align about a given direction. The extent of the alignment is given by the magnitude of the nematic order parameter S 2 , while the direction of alignment is given by the angle θ 2 with respect to the flow direction x.…”

Section: Model and Simulation Methodsmentioning

confidence: 99%

Shear-driven flow of athermal, frictionless, spherocylinder suspensions in two dimensions: Spatial structure and correlations

Marschall

Teitel

2020

Phys. Rev. E

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We use numerical simulations to study the flow of athermal, frictionless, soft-core two dimensional spherocylinders driven by a uniform steady-state simple shear applied at a fixed volume and a fixed finite strain rateγ. Energy dissipation is via a viscous drag with respect to a uniformly sheared host fluid, giving a simple model for flow in a non-Brownian suspension with Newtonian rheology. We study the resulting spatial structure of the sheared system, and compute correlation functions of the velocity, the particle density, the nematic order parameter, and the particle angular velocity. Correlations of density, nematic order, and angular velocity are shown to be short ranged both below and above jamming. We compare a system of size-bidisperse particles with a system of sizemonodisperse particles, and argue how differences in spatial order as the packing increases leads to differences in the global nematic order parameter. We consider the effect of shearing on initially well ordered configurations, and show that in many cases the shearing acts to destroy the order, leading to the same steady-state ensemble as found when starting from random initial configurations. arXiv:2002.02348v2 [cond-mat.soft]

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Anisotropic inertia rheology of ellipsoidal grains

Nadler

2021

Granular Matter

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Rheology in dense assemblies of spherocylinders: Frictional vs. frictionless

Cited by 15 publications

References 49 publications

Shear thickening of suspensions of dimeric particles

Shear thickening of suspensions of dimeric particles

Shear-driven flow of athermal, frictionless, spherocylinder suspensions in two dimensions: Spatial structure and correlations

Anisotropic inertia rheology of ellipsoidal grains

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