Brittle yielding of amorphous solids at finite shear rates

Singh, Murari; Ozawa, Masakuni; Berthier, Ludovic

doi:10.1103/physrevmaterials.4.025603

Cited by 51 publications

(33 citation statements)

References 76 publications

(102 reference statements)

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“…Just after the overshoot, the abrupt decrease in the stress corresponds to a sharp transition to a fluidized state. Such a behavior is characteristic of a "brittle" yielding transition and qualitatively close to the one discussed recently in [86][87][88].…”

Section: Influence Of Boundary Conditions In the Presence Of Avalanchessupporting

confidence: 86%

Continuum modeling of shear startup in soft glassy materials

et al. 2021

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Yield stress fluids (YSFs) display a dual nature highlighted by the existence of a critical stress σ y such that YSFs are solid for stresses σ imposed below σ y , whereas they flow like liquids for σ > σ y . Under an applied shear rate γ , the solid-to-liquid transition is associated with a complex spatiotemporal scenario that depends on the microscopic details of the system, on the boundary conditions, and on the system size. Still, the general phenomenology reported in the literature boils down to a simple sequence that can be divided into a short-time response characterized by the so-called "stress overshoot," followed by stress relaxation towards a steady state. Such relaxation can be either (1) long-lasting, which usually involves the growth of a shear band that can be only transient or that may persist at steady state or (2) abrupt, in which case the solid-to-liquid transition resembles the failure of a brittle material, involving avalanches. In the present paper, we use a continuum model based on a spatially resolved fluidity approach to rationalize the complete scenario associated with the shear-induced yielding of YSFs. A key feature of our model is to provide a scaling for the coordinates of the stress overshoot, i.e., stress σ M and strain γ M as a function of γ , which shows good agreement with experimental and numerical data extracted from the literature. Moreover, our approach shows that the power-law scaling σ M ( γ ) is intimately linked to the growth dynamics of a fluidized boundary layer in the vicinity of the moving boundary. Yet such scaling is independent of the fate of that layer, and of the long-term behavior of the YSF, i.e., whether the steady-state flow profile is homogeneous or shear-banded. Finally, when including the presence of "long-range" correlations, we show that our model displays a ductile to brittle transition, i.e., the stress overshoot reduces into a sharp stress drop associated with avalanches, which impacts the scaling σ M ( γ ). This generalized model nicely captures subtle avalanche-like features of the transient shear banding dynamics reported in experiments. Our work offers a unified picture of shear-induced yielding in YSFs, whose complex spatiotemporal dynamics are deeply connected to nonlocal effects.

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Section: Influence Of Boundary Conditions In the Presence Of Avalanchessupporting

confidence: 86%

Continuum modeling of shear startup in soft glassy materials

et al. 2021

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“…More recently, the appearance of clusters of atoms with relatively large nonaffine displacements was connected to rejuvenation of elastostatically loaded binary glasses [18]. In recent years, the collective rearrangements of atoms in disordered solids were also reported during steady [53][54][55][56][57] and periodic [28][29][30][31][32][33][34][35][39][40][41]43,45] deformation and thermal cycling [58][59][60].…”

Section: Resultsmentioning

confidence: 99%

Accelerated rejuvenation in metallic glasses subjected to elastostatic compression along alternating directions

Priezjev

2021

Journal of Non-Crystalline Solids

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“…where ∆t is the time interval between successive positions of N i atoms, and the sum is taken over nearest neighbors of the i-th atom [38]. The spatiotemporal analysis on nonaffine displacements of atoms was recently carried out to describe irreversible dynamics in binary glasses under various loading conditions, namely, periodic [12,14,16,18,19,25,27,32] and startup continuous [39][40][41][42][43] shear deformation, tension-compression loading [20,29],…”

Section: Resultsmentioning

confidence: 99%

A delayed yielding transition in mechanically annealed binary glasses at finite temperature

Priezjev

2020

Journal of Non-Crystalline Solids

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The influence of strain amplitude, glass stability and thermal fluctuations on shear band formation and yielding transition is studied using molecular dynamics simulations. The model binary mixture is first gradually cooled below the glass transition temperature and then periodically deformed to access a broad range of potential energy states. We find that the critical strain amplitude becomes larger for highly annealed glasses within about one thousand shear cycles. Moreover, upon continued loading at a fixed strain amplitude, the yielding transition is delayed in glasses mechanically annealed to lower energy states. It is also demonstrated that nucleation of a small cluster of atoms with large nonaffine displacements precedes a sharp energy change associated with the yielding transition. These results are important for thermal and mechanical processing of amorphous alloys with tunable mechanical and physical properties.

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Brittle yielding of amorphous solids at finite shear rates

Cited by 51 publications

References 76 publications

Continuum modeling of shear startup in soft glassy materials

Continuum modeling of shear startup in soft glassy materials

Accelerated rejuvenation in metallic glasses subjected to elastostatic compression along alternating directions

A delayed yielding transition in mechanically annealed binary glasses at finite temperature

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