Brittle yielding of amorphous solids at finite shear rates

Abstract

Amorphous solids display a ductile to brittle transition as the kinetic stability of the quiescent glass is increased, which leads to a material failure controlled by the sudden emergence of a macroscopic shear band in quasi-static protocols. We numerically study how finite deformation rates influence ductile and brittle yielding behaviors using model glasses in two and three spatial dimensions. We find that a finite shear rate systematically enhances the stress overshoot of poorly-annealed systems, without necessarily producing shear bands. For well-annealed systems, the non-equilibrium discontinuous yielding transition is smeared out by finite shear rates and it is accompanied by the emergence of multiple shear bands that have been also reported in metallic glass experiments. We show that the typical size of the bands and the distance between them increases algebraically with the inverse shear rate. We provide a dynamic scaling argument for the corresponding lengthscale, based on the competition between the deformation rate and the propagation time of the shear bands.

12 pages, 8 figures

References in corpus (11)

• Strain localization and percolation of stable structure in amorphous solids
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Unified study of glass and jamming rheology in soft particle systems
• Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
• Glass Rheology: From mode-coupling theory to a dynamical yield criterion
• Following the evolution of glassy states under external perturbations: compression and shear-strain
• Rate dependent shear bands in a shear transformation zone model of amorphous solids
• Influence of the glass transition on the liquid-gas spinodal decomposition
• Shear yielding and shear jamming of dense hard sphere glasses
• Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory
• The effects of cooling rate on particle rearrangement statistics: Rapidly cooled glasses are more ductile and less reversible

Cited by in corpus (30)

• Modern computational studies of the glass transition
• Ductile-to-brittle transition and yielding in soft amorphous materials: perspectives and open questions
• Yielding, shear banding and brittle failure of amorphous materials
• Yielding and plasticity in amorphous solids
• Continuum modelling of shear start-up in soft glassy materials
• Rare events and disorder control the brittle yielding of well-annealed amorphous solids
• Accelerated rejuvenation in metallic glasses subjected to elastostatic compression along alternating directions
• Stable glassy configurations of the Kob-Andersen model using swap Monte Carlo
• Flow heterogeneities in supercooled liquids and glasses under shear
• Accessing a broader range of energy states in metallic glasses by variable-amplitude oscillatory shear
• Instantaneous Normal Modes Reveal Structural Signatures for the Herschel-Bulkley Rheology in Sheared Glasses
• A delayed yielding transition in mechanically annealed binary glasses at finite temperature
• Rheology of Wormlike Micellar Gels Formed By Long-Chained Zwitterionic Surfactants
• Eigenvalue analysis of stress-strain curve of two-dimensional amorphous solids of dispersed frictional grains with finite shear strain
• Cooling under applied stress rejuvenates amorphous alloys and enhances their ductility
• The role of microscopic friction in statistics and scaling laws of avalanches
• Shear band healing in amorphous materials by small-amplitude oscillatory shear deformation
• Ductile and brittle yielding of athermal amorphous solids: a mean-field paradigm beyond the random field Ising model
• Active doping controls the mode of failure in dense colloidal gels
• Theory of rigidity and numerical analysis of density of states of two-dimensional amorphous solids with dispersed frictional grains in the linear response regime
• Swap Monte Carlo for diatomic molecules
• Mean field theory of yielding under oscillatory shear
• Isomorphs in sheared binary Lennard-Jones glass: Transient response
• Controlling the volume fraction of glass-forming colloidal suspensions using thermosensitive host `mesogels'
• Athermal creep deformation of ultrastable amorphous solids
• Nonequilibrium plastic roughening of metallic glasses yields self-affine topographies with strain-rate and temperature-dependent scaling exponents
• Analytic theory of shear localization in amorphous solids confined by Couette geometry
• Yielding in dense active matter
• Inverse Bauschinger to Bauschinger Crossover under Steady Shear in Amorphous Solids
• Effect of adhesive interaction on strain stiffening and dissipation in granular gels undergoing yielding