Driving rate dependence of avalanche statistics and shapes at the yielding transition

Abstract

We study stress time series caused by plastic avalanches in athermally sheared disordered materials. Using particle-based simulations and a mesoscopic elasto-plastic model, we analyze size and shear-rate dependence of the stress-drop durations and size distributions together with their average temporal shape. We find critical exponents different from mean-field predictions, and a clear asymmetry for individual avalanches. We probe scaling relations for the rate dependency of the dynamics and we report a crossover towards mean-field results for strong driving.

5 pages, 3 figures, 1 table, supplementary material to be found at http://www-liphy.ujf-grenoble.fr/pagesperso/martens/documents/liu2015-sm.pdf

References in corpus (13)

• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
• Crackling dynamics in material failure as the signature of a self-organized dynamic phase transition
• Marginal Stability in Structural, Spin and Electron Glasses
• Relaxation in yield stress systems through elastically interacting activated events
• On the relevance of disorder in athermal amorphous materials under shear
• $1/f$ noise and avalanche scaling in plastic deformation
• Probing relevant ingredients in mean-field approaches for the athermal rheology of yield stress materials
• Depinning exponents of the driven long-range elastic string
• Stokes experiment in a liquid foam
• Avalanches, loading and finite size effects in 2D amorphous plasticity: results from a finite element model
• Avalanche size distributions in mean field plastic yielding models
• Mean-field description of plastic flow in amorphous solids

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• Criticality in elastoplastic models of amorphous solids with stress-dependent yielding rates
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• Probing relevant ingredients in mean-field approaches for the athermal rheology of yield stress materials
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• Heterogeneous dynamics during yielding of glasses: effect of aging
• On the critical exponents of the yielding transition of amorphous solids
• Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
• Annealing glasses by cyclic shear deformation
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• Unified View of Avalanche Criticality in Sheared Glasses
• Avalanche behavior in creep failure of disordered materials
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• Avalanches, thresholds, and diffusion in meso-scale amorphous plasticity
• Kinetic Spinodal Instabilities in the Mott Transition in V2O3: Evidence from Hysteresis Scaling and Dissipative Phase Ordering
• Creep dynamics of athermal amorphous materials: a mesoscopic approach
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• Crackling to periodic dynamics in sheared granular media
• Crackling dynamics in the mechanical response of knitted fabrics, Version 2
• Effect of pinning on the yielding transition of amorphous solids
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• Elastic interfaces on disordered substrates: From mean-field depinning to yielding
• Seismicity in sheared granular matter
• Intermittent relaxation and avalanches in extremely persistent active matter
• Slow coarsening in jammed athermal soft particle suspensions
• Rate-dependent Stick-slips in Steady Shearing: Signature of Transition between Granular Solid and Fluid
• Criticality in sheared, disordered solids. I. Rate effects in stress and diffusion
• Properties of the density of shear transformations in driven amorphous solids
• Statistical dynamics of early creep stages in disordered materials
• Earthquake statistics inferred from plastic events in soft-glassy materials
• Avalanches and Structural Change in Cyclically Sheared Silica Glass
• The role of weakest links and system size scaling in multiscale modeling of stochastic plasticity
• Yielding transition of a two dimensional glass former under athermal cyclic shear deformation
• Instantaneous Normal Modes Reveal Structural Signatures for the Herschel-Bulkley Rheology in Sheared Glasses
• Crack growth in heterogeneous brittle solids : Intermittency, crackling and induced seismicity
• Quasistatic kinetic avalanches and self-organized criticality in deviatorically loaded granular media
• Yielding is an absorbing phase transition with vanishing critical fluctuations
• Transition rates for slip-avalanches in soft athermal disks under quasi-static simple shear deformations
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• Criticality at finite strain rate in fluidized soft glassy materials
• Criticality in sheared, disordered solids. II. Correlations in avalanche dynamics
• Kinetically Decoupled Electrical and Structural Phase Transitions in VO2
• Protocol dependence for avalanches under constant stress in elastoplastic models
• Dynamic Length Scale and Weakest Link Behavior in Crystal Plasticity
• Signatures of the spatial extent of plastic events in the yielding transition in amorphous solids
• Suppression of spinodal instability by disorder in an athermal system
• The role of microscopic friction in statistics and scaling laws of avalanches
• Finite-dimensional signature of spinodal instability in an athermal hysteretic transition
• Mechanical excitation and marginal triggering during avalanches in sheared amorphous solids
• Magnetic domain dynamics in an insulating quantum ferromagnet
• Universal mechanical instabilities in the energy landscape of amorphous solids: evidence from athermal quasistatic expansion
• Ductile and brittle yielding of athermal amorphous solids: a mean-field paradigm beyond the random field Ising model
• Power fluctuations in sheared amorphous materials: A minimal model
• Controlling crackling dynamics by triggering low intensity avalanches
• Self-diffusion in plastic flow of amorphous solids
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• Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics
• Elementary processes in dilatational plasticity of glasses
• How criticality meets bifurcation in compressive failure of disordered solids
• Correlating the force network evolution and dynamics in slider experiments
• Mean field theory of yielding under oscillatory shear
• Computational Methods toward Ultrastable Glasses
• Understanding Flow Behaviors of Supercooled Liquids by Embodying Solid-Liquid Duality at Particle Level
• Residual stress distributions in athermally deformed amorphous solids from atomistic simulations
• Nonequilibrium plastic roughening of metallic glasses yields self-affine topographies with strain-rate and temperature-dependent scaling exponents
• Giant fluctuations in the flow of fluidised soft glassy materials: an elasto-plastic modelling approach
• Dynamic phase diagram of plastically deformed amorphous solids at finite temperature
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• Shapes and velocity relaxation of dislocation avalanches in Au and Nb single crystals
• Yielding versus random organization: convex absorbing transitions in soft matter