Deformation and flow of amorphous solids: Insights from elastoplastic models

Nicolas, Alexandre; Ferrero, Ezequiel E.; Martens, Kirsten; Barrat, Jean‐Louis

doi:10.1103/revmodphys.90.045006

Cited by 407 publications

(462 citation statements)

References 371 publications

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“…This result points out to the crucial role of mechanical interactions between microfractures during the compressive failure process and suggests an analogy with another class of critical phenomena. Namely, the depinning transition (Ertaş & Kardar, 1994;Fisher, 1998) and the yielding transition (Lin et al, 2015;Nicolas et al, 2018) both share three fundamental ingredients with our problem: a local threshold mechanics, disorder, and elastic long-ranged interactions. In our experiments, the initial disorder in the rock arises from local strength heterogeneities related to pores, joints, and grain boundaries.…”

Section: Interpreting Failure In Carrara Marble As a Critical Phase Tmentioning

confidence: 99%

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

et al. 2019

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Microscale heterogeneities influence failure mechanisms in the crust. To track the microstructural changes in rock samples when loaded until failure, we employed a novel experimental technique that couples dynamic X‐ray microtomography imaging with a triaxial deformation apparatus. We studied the brittle failure of Carrara marble under triaxial compression. Dynamic tomographic data revealed the spatial organization of microfractures and damage increments characterizing the precursory activity toward catastrophic failure. We quantified the emergence of scaling relationships between microstructural parameters, including total damage volume, incremental damage volume, the largest connected microfracture, and the applied differential stress. The total volume of microfractures accumulated from the beginning of the experiment as well as the incremental damage showed power law increase. The growth of the largest connected microfracture was related to differential stress as a power law with divergence at failure. The microfracture volume increments were distributed according to a power law with an upper cutoff that itself spanned the entire volume toward failure. These characteristic features of brittle failure in Carrara marble under compression are in agreement with theoretical models that consider failure as a critical phase transition. We also observed that, very close to failure, several power law relationships broke down, which we interpret to be related to the coalescence of the largest microfractures in a finite size volume. Scaling laws and associated exponents computed from our data are compared with predictions made from theoretical and numerical models. Our results show that precursors of macroscopic brittle failure in Carrara marble follow predictable trends.

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Section: Interpreting Failure In Carrara Marble As a Critical Phase Tmentioning

confidence: 99%

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

et al. 2019

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“…In the following we will be particularly interested in discussing the possibility that the stress field induced by the heterogeneous thermal expansion induces STs, i.e. localized irreversible plastic events that are recognized as the elementary building blocks of plasticity in amorphous materials [15][16][17]. Previous work on similar systems indicates that the STs involve a few tens of atoms [18,19], hence we will concentrate on results obtained for a coarse graining size s = Å 5 , with a coarse graining volume that contains around 30 atoms.…”

Section: The Local Thermal Expansion Coefficient (Ltec)mentioning

confidence: 99%

Role of thermal expansion heterogeneity in the cryogenic rejuvenation of metallic glasses

2018

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Cryogenic rejuvenation in metallic glasses reported in Ketov et al ʼs experiment (2015 Nature 524 200)has attracted much attention, both in experiments and numerical studies. The atomic mechanism of rejuvenation has been conjectured to be related to the heterogeneity of the glassy state, but the quantitative evidence is still elusive. Here we use molecular dynamics simulations of a model metallic glass to investigate the heterogeneity in the local thermal expansion. We then combine the resulting spatial distribution of thermal expansion with a continuum mechanics calculation to infer the internal stresses caused by a thermal cycle. Comparing the internal stress with the local yield stress, we prove that the heterogeneity in thermo mechanical response has the potential to trigger local shear transformations, and therefore to induce rejuvenation during a cryogenic thermal cycling.

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“…The spatially-resolved models considered in this work are extended from previous versions used to describe both steady-state flows of YSFs using a shear-imposed protocol model [2] and transient (creep) flow using a stressimposed protocol model [43][44][45][46].…”

Section: Numerical Modelmentioning

confidence: 99%

“…Dense disordered materials such as emulsions, foams, colloidal suspensions, or granular materials exhibit rich rheological behaviours. These materials have in common that once deformed beyond their solid elastic regime they yield plastically towards a complex flow regime with a shear rate dependent viscosity [1,2]. The steady state flow behaviour of these yield stress fluids (YSFs) can be described at the continuum level using empirical laws like for example the Herschel-Bulkley relationship [3], or continuum descriptions, such as visco-elasto-plastic [4,5] and fluidity models [6,7].…”

Section: Introductionmentioning

confidence: 99%

“…This can for example lead to non-local, strongly system-size dependent, transport coefficients for the material dynamics [14][15][16]. Accordingly, understanding the role of mechanical noise and its spatio-temporal features has not only attracted a strong fundamental interest [2] but is also of direct importance in rheological applications [1].…”

Section: Introductionmentioning

confidence: 99%

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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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Deformation and flow of amorphous solids: Insights from elastoplastic models

Cited by 407 publications

References 371 publications

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

Dynamics of Microscale Precursors During Brittle Compressive Failure in Carrara Marble

Role of thermal expansion heterogeneity in the cryogenic rejuvenation of metallic glasses

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

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