Yielding and plasticity in amorphous solids

Abstract

The physics of disordered media, from metallic glasses to colloidal suspensions, granular matter and biological tissues, offers difficult challenges because it often occurs far from equilibrium, in materials lacking symmetries and evolving through complex energy landscapes. Here, we review recent theoretical efforts to provide microscopic insights into the mechanical properties of amorphous media using approaches from statistical mechanics as unifying frameworks. We cover both the initial regime corresponding to small deformations, and the yielding transition marking a change between elastic response and plastic flow. We discuss the specific features arising for systems evolving near a jamming transition, and extend our discussion to recent studies of the rheology of dense biological and active materials.

20 pages, 7 figures

References in corpus (26)

• Theoretical perspective on the glass transition and amorphous materials
• Motility-Induced Phase Separation
• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Perspective: Highly stable vapor-deposited glasses
• Unified study of glass and jamming rheology in soft particle systems
• Frictionless bead packs have macroscopic friction, but no dilatancy
• Marginal Stability in Structural, Spin and Electron Glasses
• Jamming versus Glass Transitions
• Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
• Multiple transient memories in experiments on sheared non-Brownian suspensions
• Following the evolution of glassy states under external perturbations: compression and shear-strain
• Relaxation in yield stress systems through elastically interacting activated events
• Shear yielding and shear jamming of dense hard sphere glasses
• Overshoots in stress strain curves: Colloid experiments and schematic mode coupling theory
• Nonlinear modes disentangle glassy and Goldstone modes in structural glasses
• Mean-field avalanches in jammed spheres
• Brittle yielding of amorphous solids at finite shear rates
• Active Microrheology in Active Matter Systems: Mobility, Intermittency and Avalanches
• Avalanches, loading and finite size effects in 2D amorphous plasticity: results from a finite element model
• Robustness of Density of Low Frequency States in Amorphous Solids
• The nature of non-phononic excitations in disordered systems
• Memory Effects in Schematic Models of Glasses Subjected to Oscillatory Deformation
• Criticality in sheared, disordered solids. I. Rate effects in stress and diffusion
• Far-from-equilibrium criticality in the Random Field Ising Model with Eshelby Interactions
• Scaling regimes and fluctuations of observables in computer glasses approaching the unjamming transition
• Ductile and brittle yielding of athermal amorphous solids: a mean-field paradigm beyond the random field Ising model

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• Geometric indicators of local plasticity in glasses measured by scanning small-beam diffraction
• Fracture initiation in silicate glasses via a universal shear localization mechanism
• Computational Methods toward Ultrastable Glasses
• Yielding and memory in a driven mean-field model of glasses
• Athermal creep deformation of ultrastable amorphous solids
• Inverse Bauschinger to Bauschinger Crossover under Steady Shear in Amorphous Solids
• Yielding in dense active matter
• Discontinuity in the distribution of field increments between avalanches in non-abelian random field Blume-Emery-Griffiths model with no passing violation