Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates

Ferrero, Ezequiel E.; Jagla, E. A.

doi:10.1039/c9sm01073d

Cited by 57 publications

(134 citation statements)

References 30 publications

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“…The exponent τ = 1 was also obtained numerically in the studies of quasielastic regimes in structural glasses [44,74,75]. It was also found to characterize dense amorphous packings and, therefore, can be associated with the concept of jamming.…”

Section: Avalanche Statisticsmentioning

confidence: 84%

“…The excitation spectrum with θ ∼ 0 was also recorded in some mesoscopic models of amorphous plasticity [74,75] and molecular dynamic simulations of glasses [44]. As we have already mentioned in Sec.…”

Section: Excitation Spectramentioning

confidence: 91%

“…The obtained spectrum is almost gapless with very small value of θ > 0. This is an indication of weak criticality [44,70,74,75,91] when the probability to find infinitesimal energy barrier is finite but close to zero. In such states the system is close to being elastic with dislocation microstructures characterized by high energy and low stability.…”

Section: Excitation Spectramentioning

confidence: 97%

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Variety of scaling behaviors in nanocrystalline plasticity

Zhang

Salman²,

Weiss

et al. 2020

Phys. Rev. E

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We address the question of why larger, high-symmetry crystals are mostly weak, ductile, and statistically subcritical, while smaller crystals with the same symmetry are strong, brittle and supercritical. We link it to another question of why intermittent elasto-plastic deformation of submicron crystals features highly unusual size sensitivity of scaling exponents. We use a minimal integer-valued automaton model of crystal plasticity to show that with growing variance of quenched disorder, which can serve in this case as a proxy for increasing size, submicron crystals undergo a crossover from spin-glass marginality to criticality characterizing the second order brittle-to-ductile (BD) transition. We argue that this crossover is behind the nonuniversality of scaling exponents observed in physical and numerical experiments. The nonuniversality emerges only if the quenched disorder is elastically incompatible, and it disappears if the disorder is compatible.

show abstract

Section: Avalanche Statisticsmentioning

confidence: 84%

Section: Excitation Spectramentioning

confidence: 91%

Section: Excitation Spectramentioning

confidence: 97%

See 1 more Smart Citation

Variety of scaling behaviors in nanocrystalline plasticity

Zhang

Salman²,

Weiss

et al. 2020

Phys. Rev. E

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show abstract

“…The expectation value of the weakest site can be estimated using an argument from extreme value statistics, If one assumes that P(x) ∼ x for small x then this implies = d∕(1 + ) [22] and hence a second scaling law [21], which provides the link between macroscopic stress drops and local weak zones in the system. Both atomistic simulations [20] and simulations of mesoscopic elastoplastic models [23,24], however, have shown recently that P(x) does not have this simple "pseudogap from" but becomes in fact analytic, i.e. a plateau develops in the limit x → 0 .…”

Section: Scaling Relationsmentioning

confidence: 99%

Avalanches in the Athermal Quasistatic Limit of Sheared Amorphous Solids: An Atomistic Perspective

Ruscher

Rottler

2021

Tribol Lett

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We study the statistical properties of the yielding transition in model amorphous solids in the limit of slow, athermal deformation. Plastic flow occurs via alternating phases of elastic loading punctuated by rapid dissipative events in the form of collective avalanches. We investigate their characterization through energy vs. stress drops and at multiple stages of deformation, thus revealing a change of spatial extent of the avalanches and degree of stress correlations as deformation progresses. We show that the statistics of stress and energy drops only become comparable for large events in the steady flow regime. Results for the critical exponents of the yielding transition are discussed in the context of prior studies of similar type, revealing the influence of model glass and preparation history.

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“…Besides the dynamics described in either equation (2) or equation (6) depending upon the driving protocol, each node alternates between a local plastic state (n ij =1) and a local elastic state (n ij =0). Since the detailed local yielding rules will depend sensitively on the microscopic model and since its detailed characterisation is still missing, various different phenomenological transition rules between elastic and plastic states have been proposed in the literature [19,[47][48][49]. In this study, we use the rules introduced by Picard in [47].…”

Section: Stochastic Dynamics For the Plastic Activitymentioning

confidence: 99%

Giant fluctuations in the flow of fluidised soft glassy materials: an elasto-plastic modelling approach

2020

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In this work we study the effect of an additional mechanical noise on the rheological features of yield stress materials that exhibit non-homogeneous steady flows. Using a mesoscale elasto-plastic model accounting for a viscosity bifurcation in the flow response to an external shear stress, we find that additional sources of noise can lead to a fluidisation effect. As we increase the noise intensity we evidence a transition from a non-monotonic to a monotonic rheology, associated with giant fluctuations of the macroscopic shear rate and long-time correlated dynamics. Although distinct noise models can lead to different rheological behaviours in the low stress regime, we show that the noiseinduced transition from shear-localised to homogeneous flow at higher stresses appears very generic. The observed dynamical features can be interpreted as a result of an out-of-equilibrium phase transition, for which we estimate the critical exponents that appear to be independent of the specific choice of the noise implementation for the microscopic dynamics.

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Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates

Abstract: Elastoplastic models are analyzed at the yielding transition. Universality and critical exponents are discussed. The flowcurve exponent happens to be sensitive to the local yielding rule. An alternative mean-field description of yielding is explained.

Cited by 57 publications

References 30 publications

Variety of scaling behaviors in nanocrystalline plasticity

Variety of scaling behaviors in nanocrystalline plasticity

Avalanches in the Athermal Quasistatic Limit of Sheared Amorphous Solids: An Atomistic Perspective

Giant fluctuations in the flow of fluidised soft glassy materials: an elasto-plastic modelling approach

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