Giant Stress Fluctuations at the Jamming Transition

Lootens, Didier; Damme, H. Van; Hébraud, Pascal

doi:10.1103/physrevlett.90.178301

Cited by 164 publications

(141 citation statements)

References 17 publications

Supporting

Mentioning

126

Contrasting

Order By: Relevance

“…The jamming transition can be continuous or discontinuous. In the latter case, when the suspension is forced to flow, we observe a fluctuation of the applied stress above a base line [3]. Two flow states are present: one plastic, which is the same as that in the plastic zone and the second flow state, where the stress is higher.…”

Section: Introductionmentioning

confidence: 86%

“…Two flow states are present: one plastic, which is the same as that in the plastic zone and the second flow state, where the stress is higher. The organization of the particles can be followed by experimental techniques such as confocal microscopy or neutron scattering [3][4][5]. While these techniques are used to follow the global organization of the particles under shear, they can not give information on the stress distribution in the suspension.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stress Chains Formation under Shear of Concentrated Suspension

Lootens¹,

Martys²,

George³

et al. 2008

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

Results comparing experiments on a model system of mono-disperse silica-particles with the numerical simulation of a highly concentrated suspension of spherical particles subject to a constant rate of strain are presented. Giant fluctuations of the shear stress and the first and second normal force difference are studied. Stress chain formation and evolution under shear are visualized in order to make the relation between the stress fluctuations and the suspension microstructure.

show abstract

Section: Introductionmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Stress Chains Formation under Shear of Concentrated Suspension

Lootens¹,

Martys²,

George³

et al. 2008

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

show abstract

“…Many (but not quite all) instances of structural instability occur in shear-stress or shear-rate ranges close to non-equilibrium transitions between distinct phases or textures in the fluid, for example the transition from isotropic to flowaligned-nematic structures in worm-like micelles [24], or the disordered-to-layered packing transition in multilamellar onions [15,16,17,25]. (There may also be underlying transitions from a flowing to a jammed state in colloids [26], and from isotropic to string-like structures in polymer solutions [19].) Structural instabilities arguably arise when the fluid under flow hesitates between possible alternative structures near such transitions.…”

Section: Introductionmentioning

confidence: 99%

“…30, 31. Our motivation for studying the case of a fluid that shows shear-thickening (in itself a widely observed but poorly understood phenomenon [28,29]) is that several of the above-cited experiments concern such fluids (Refs. [10,11,12,13,22] for wormlike micelles; [19] for polymer solutions; and [20,26] for colloidal suspensions).…”

Section: Introductionmentioning

confidence: 99%

Minimal model for chaotic shear banding in shear thickening fluids

Aradian

Cates

2006

Phys. Rev. E

View full text Add to dashboard Cite

We present a minimal model for spatiotemporal oscillation and rheochaos in shear-thickening complex fluids at zero Reynolds number. In the model, a tendency towards inhomogeneous flows in the form of shear bands combines with a slow structural dynamics, modelled by delayed stress relaxation. Using Fourier-space numerics, we study the nonequilibrium 'phase diagram' of the fluid as a function of a steady mean (spatially averaged) stress, and of the relaxation time for structural relaxation. We find several distinct regions of periodic behavior (oscillating bands, travelling bands, and more complex oscillations) and also regions of spatiotemporal rheochaos. A low-dimensional truncation of the model retains the important physical features of the full model (including rheochaos) despite the suppression of sharply defined interfaces between shear bands. Our model maps onto the FitzHugh-Nagumo model for neural network dynamics, with an unusual form of long-range coupling.

show abstract

“…4). This is reminiscent of the large fluctuations near a jamming transition in sheared colloids [14], the broadening of the force PDF for simulations of sheared Lennard-Jones particles [15,16], and the divergence of the viscosity in classical glass transitions. While a crystallized state is fundamentally different from a jammed one due to the presence/absence of order, they share a lack of freedom to rearrange.…”

mentioning

confidence: 99%

Hysteresis and Competition between Disorder and Crystallization in Sheared and Vibrated Granular Flow

2005

View full text Add to dashboard Cite

Experiments on spherical particles in a 3D Couette cell vibrated from below and sheared from above show a hysteretic freezing/melting transition. Under sufficient vibration a crystallized state is observed, which can be melted by sufficient shear. The critical line for this transition coincides with equal kinetic energies for vibration and shear. The force distribution is double-peaked in the crystalline state and single-peaked with an approximately exponential tail in the disordered state. A linear relation between pressure and volume (dP/dV > 0) exists for a continuum of partially and/or intermittently melted states over a range of parameters.PACS numbers: 64.60.Cn, 64.60.My The relative stability and selection of crystallized and disordered states is fundamental to the study of condensed matter systems. For systems out of equilibrium, the thermodynamic picture under which temperature melts crystalline order is not necessarily valid. Fluctuations provided by external driving, seemingly temperature-like, have been observed to either order or disorder a system. In particular, the mechanisms by which colloidal suspensions shear-melt and shear-order [1,2], remain the subject of debate. Granular materials, which are athermal and have strongly dissipative interactions, provide a complementary means to investigate the transition between disorder and crystallization in nonequilibrium systems.We examine a granular system in which there is a novel phase transition associated with competition between ordering via one type of energy input, and disordering via another. We perform experiments in a variation on the Couette cell, a convenient setup for the study of sheared granular materials [3,4,5]. An annular region containing monodisperse spheres is vibrated from below and sheared from above, with the mean pressure and volume set from below by a spring. In such a system, the shear and vibration provide competing effects: the system is disordered or crystallized depending on their relative strengths, and the boundary between these two states occurs at equal kinetic energy input from these two driving mechanisms. The freezing transition is hysteretic, similar to a "freezing by heating" [6] transition. In addition, we observe metastable states over a range of packing fractions and forces. These states have the remarkable property that increased internal forces occur for less dense packings, in contrast to conventional mechanical or thermodynamic compressibility. While previous studies have investigated vibrated [7] or continuously sheared [8] granular materials separately, the combination of the two leads to novel effects. Fig. 1 shows a schematic of the apparatus. Monodisperse polypropylene spheres fill the region between two concentric, stationary side walls, with a rotating upper plate attached to a motor and a piston-like bottom plate attached to an electromagnetic shaker with a static internal spring constant k = 341 N/m. The outer wall is Plexiglas to allow visualization and the bottom plate contains a force sensor ...

show abstract

Giant Stress Fluctuations at the Jamming Transition

Cited by 164 publications

References 17 publications

Stress Chains Formation under Shear of Concentrated Suspension

Stress Chains Formation under Shear of Concentrated Suspension

Minimal model for chaotic shear banding in shear thickening fluids

Hysteresis and Competition between Disorder and Crystallization in Sheared and Vibrated Granular Flow

Contact Info

Product

Resources

About