Avalanche Size Scaling in Sheared Three-Dimensional Amorphous Solid

Bailey, Nicholas P.; Schiøtz, Jakob; Lemaı̂tre, Anaël; Jacobsen, Karsten Wedel

doi:10.1103/physrevlett.98.095501

Cited by 110 publications

(95 citation statements)

References 37 publications

(51 reference statements)

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“…Following previous works in the field [38,40,42,44,58] we probed the statistics of the plastic flow events by determining the probability distributions of the flow events' shear-stress drops and energy changes, as well as the strain intervals between consecutive flow events [Figs. 1(b) and 1(c)].…”

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confidence: 99%

Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows

2014

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Athermal plastic flows were simulated for the Kob-Andersen binary Lennard-Jones system and its repulsive version in which the sign of the attractive terms is changed to a plus. Properties evaluated from simulations at different densities include the distributions of energy drops, stress drops, and strain intervals between the flow events. By reference to hidden scale invariance we show that simulations at a single density in conjunction with an equilibrium-liquid simulation at the same density allows one to predict the plastic flow-event properties at other densities. We furthermore demonstrate quasiuniversality of the flow-event statistics.

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Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows

2014

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“…The associated inter-zone elastic couplings should be responsible for the "autocatalytic avalanches" [5,12] or flip cascades [4,13] constituting the system-size dependent plastic events, which we believe to be precisely the non-permanent shear bands invoked in ref. [10].…”

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confidence: 99%

Plastic response of a two-dimensional amorphous solid to quasistatic shear: Transverse particle diffusion and phenomenology of dissipative events

2007

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We perform extensive simulations of a 2D LJ glass subjected to quasi-static shear deformation at T = 0. We analyze the distribution of non-affine displacements in terms of contributions of plastic, irreversible events, and elastic, reversible motions. From this, we extract information about correlations between plastic events and about the elastic non-affine noise. Moreover, we find that non-affine motion is essentially diffusive, with a clearly size-dependent diffusion constant. These results, supplemented by close inspection of the evolving patterns of the non-affine tangent displacement field, lead us to propose a phenomenology of plasticity in such amorphous media.It can be schematized in terms of elastic loading and irreversible flips of small, randomly located shear transformation zones, elastically coupled via their quadrupolar fields.

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“…Understanding the effects of MG sample size in the micrometer to nanometer regime on mechanical response can provide insight into this fundamental issue and guide the practical design of incorporating small-volume MG into microelectromechanical devices. 5 A number of theoretical 6,7 and experimental [8][9][10][11][12][13][14] studies have demonstrated that for sample dimensions at the micrometer scale shear banding is still the dominant deformation mechanism. [9][10][11] What happens at even smaller sample sizes (diameter D on submicrometer to nanometer scale) remains controversial.…”

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Intrinsic size effects in the mechanical response of taper-free nanopillars of metallic glass

et al. 2011

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Avalanche Size Scaling in Sheared Three-Dimensional Amorphous Solid

Cited by 110 publications

References 37 publications

Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows

Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows

Plastic response of a two-dimensional amorphous solid to quasistatic shear: Transverse particle diffusion and phenomenology of dissipative events

Intrinsic size effects in the mechanical response of taper-free nanopillars of metallic glass

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