Mechanical and Microscopic Properties of the Reversible Plastic Regime in a 2D Jammed Material

Keim, Nathan C.; Arratia, Paulo E.

doi:10.1103/physrevlett.112.028302

Cited by 136 publications

(181 citation statements)

References 34 publications

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“…[19], which evaluates deviations from an affine deformation on a local scale. This quantity has been used with noted success to characterize plasticity [19,20,7,21,8,9,22]; in particular, it was shown to yield results consistent with other measures of nonaffinity in Ref. [21].…”

Section: Indicator Of Plastic Activitymentioning

confidence: 90%

Spatiotemporal correlations between plastic events in the shear flow of athermal amorphous solids

2014

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Abstract. The slow flow of amorphous solids exhibits striking heterogeneities: swift localised particle rearrangements take place in the midst of a more or less homogeneously deforming medium. Recently, experimental as well as numerical work has revealed spatial correlations between these flow heterogeneities. Here, we use molecular dynamics (MD) simulations to characterise the rearrangements and systematically probe their correlations both in time and in space. In particular, these correlations display a four-fold azimuthal symmetry characteristic of shear stress redistribution in an elastic medium and we unambiguously detect their increase in range with time. With increasing shear rate, correlations become shorter-ranged and more isotropic. In addition, we study a coarse-grained model motivated by the observed flow characteristics and challenge its predictions directly with the MD simulations. While the model captures both macroscopic and local properties rather satisfactorily, the agreement with respect to the spatiotemporal correlations is at most qualitative. The discrepancies provide important insight into relevant physics that is missing in all related coarse-grained models that have been developed for the flow of amorphous materials so far, namely the finite shear wave velocity and the impact of elastic heterogeneities on stress redistribution.

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Section: Indicator Of Plastic Activitymentioning

confidence: 90%

Spatiotemporal correlations between plastic events in the shear flow of athermal amorphous solids

2014

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“…While it is complex to visualize the microscopic yielding mechanics, structural rearrangements can be inferred from the stress and dissipative energy responses of the system. For particle-laden interfaces, research considering the yielding mechanics remain few and far between 9 , although some understanding of particle rearrangement in the plastic regime of 2D jammed colloids has recently been described 36 .…”

Section: Introductionmentioning

confidence: 99%

Interfacial Particle Dynamics: One and Two Step Yielding in Colloidal Glass

Zhang

Cayre

et al. 2016

Langmuir

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The yielding behaviour of silica nanoparticles partitioned at an air-aqueous interface is reported. Linear viscoelasticity of the particle-laden interface can be retrieved via a timedependent and electrolyte-dependent superposition, and the applicability of the 'soft glassy rheology' (SGR) model is confirmed. With increasing electrolyte concentration a non-ergodic state is achieved with particle dynamics arrested firstly from attraction induced bonding bridges and then from the cage effect of particle jamming, manifesting in a two-step yielding process under large amplitude oscillation strain (LAOS). The Lissajous curves disclose a shear-induced in-cage particle re-displacement within oscillation cycles between the two yielding steps, exhibiting a 'strain softening' transitioning to 'strain stiffening' as the interparticle attraction increases. By varying and the particle spreading concentration, , a variety of phase transitions from fluid-to gel-and glass-like can be unified to construct a state diagram mapping the yielding behaviors from one-step to two-step before finally exhibiting one-step yielding at high and .

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“…Recently, there has been substantial interest in self-organization in suspensions under slow, cyclic, low-Reynolds number shear (1,5,6). Non-Brownian suspensions were found to exhibit a phase transition from a dynamic fluctuating state to a reversible absorbing state depending on the shear amplitude and particle density.…”

mentioning

confidence: 99%

Precisely cyclic sand: Self-organization of periodically sheared frictional grains

Royer

Chaikin

2014

Proc. Natl. Acad. Sci. U.S.A.

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The disordered static structure and chaotic dynamics of frictional granular matter has occupied scientists for centuries, yet there are few organizational principles or guiding rules for this highly hysteretic, dissipative material. We show that cyclic shear of a granular material leads to dynamic self-organization into several phases with different spatial and temporal order. Using numerical simulations, we present a phase diagram in strain-friction space that shows chaotic dispersion, crystal formation, vortex patterns, and most unusually a disordered phase in which each particle precisely retraces its unique path. However, the system is not reversible. Rather, the trajectory of each particle, and the entire frictional, many-degrees-of-freedom system, organizes itself into a limit cycle absorbing state. Of particular note is that fact that the cyclic states are spatially disordered, whereas the ordered states are chaotic.granular | self-organization | limit cycles | friction S elf-organization under periodic driving is a common feature in many disparate far-from-equilibrium systems (1-4). Recently, there has been substantial interest in self-organization in suspensions under slow, cyclic, low-Reynolds number shear (1, 5, 6). Non-Brownian suspensions were found to exhibit a phase transition from a dynamic fluctuating state to a reversible absorbing state depending on the shear amplitude and particle density. Here, there is a clear route to reversibility, because at low Reynolds numbers the equations of motion for the fluid are reversible, and irreversibility is only introduced through particle collisions or potential interactions. A similar cyclic behavior has been observed in periodically driven superconducting vortices (4), which interact via a nonlinear potential.If one instead considers a pack of frictional grains, this picture changes dramatically and the conditions for reversibility/irreversibility and periodic motion remain poorly understood (7-9). Here, the equations of motion are not time-reversible and particles remain in contact with their neighbors at all times, interacting via hysteretic frictional forces instead of simple collisions. Although a priori the system is hysteretic and irreversible, it is still possible to exhibit correlations and self-organization. Indeed, experimental studies of grains under cyclic shear have found spontaneous crystallization (10, 11), dynamic heterogeneities (12), and subdiffusive caged motion (9, 13). Recent experiments on 2D frictional disks found limit cycles in the shear stress and pressure in shear-jammed packings (14), although the individual grain motion remains diffusive. However, experiments are limited to a narrow range of friction and one cannot easily vary this crucial parameter that determines the possible packing configurations (15) and the response of the granular system to applied shear. Although we do not find reversible states, we do find that, depending on the strain amplitude and grain friction, the granular system can organize itself and evolve i...

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Mechanical and Microscopic Properties of the Reversible Plastic Regime in a 2D Jammed Material

Cited by 136 publications

References 34 publications

Spatiotemporal correlations between plastic events in the shear flow of athermal amorphous solids

Spatiotemporal correlations between plastic events in the shear flow of athermal amorphous solids

Interfacial Particle Dynamics: One and Two Step Yielding in Colloidal Glass

Precisely cyclic sand: Self-organization of periodically sheared frictional grains

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