Particle pinning suppresses spinodal criticality in the shear banding instability
arXiv:1903.03020 · doi:10.1103/PhysRevE.100.052110
Abstract
Strained amorphous solids often fail mechanically by creating a shear-band. It had been understood that the shear banding instability is usefully described as crossing a spinodal point (with disorder) in an appropriate thermodynamic description. It remained contested however whether the spinodal is critical (with divergent correlation length) or not. Here we offer evidence for critical spinodal by using particle pinning. For a finite concentration of pinned particles the correlation length is bounded by the average distance between pinned particles, but without pinning it is bounded by the system size.
arXiv comment5 pages, 5 figures - error bars have been added to figure 2, all figures have been reformatted
References in corpus (29)
- Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
- Scaling behavior in the -relaxation regime of a supercooled Lennard-Jones mixture
- Amorphous Systems in Athermal, Quasistatic Shear
- Modeling the mechanics of amorphous solids at different length and time scales
- A random critical point separates brittle and ductile yielding transitions in amorphous materials
- Subextensive Scaling in the Athermal, Quasistatic Limit of Amorphous Matter in Plastic Shear Flow
- Plastic Response of a 2D Lennard-Jones amorphous solid: Detailed analysis of the local rearrangements at very slow strain-rate
- Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
- Ideal Glass Transitions by Random Pinning
- A study of the static yield stress in a binary Lennard-Jones glass
- Statistical Physics of the Yielding Transition in Amorphous Solids
- Microscopic Mechanism of Shear Bands in Amorphous Solids
- Probing a liquid to glass transition in equilibrium
- Do Athermal Amorphous Solids Exist?
- Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids
- Equilibrium phase diagram of a randomly pinned glass-former
- Shear bands as manifestation of a criticality in yielding amorphous solids
- Elasto-plastic description of brittle failure in amorphous materials
- Mechanical Yield in Amorphous Solids: a First-Order Phase Transition
- The Yield-Strain in Shear Banding Amorphous Solids
- Spinodals with Disorder: from Avalanches in Random Magnets to Glassy Dynamics
- Shear localization in 3-Dimensional Amorphous Solids
- Mechanical Failure in Amorphous Solids: Scale Free Spinodal Criticality
- Effect of pinning on the yielding transition of amorphous solids
- Pinning Susceptibility : A Novel Method to Study Growth of Amorphous Order in Glass-forming Liquids
- Micro-alloying and the Toughness of Glasses: Modeling with Pinned Particles
- Vanishing of configurational entropy may not imply an ideal glass transition in randomly pinned liquids
- On the protocol dependence of plasticity in ultra-stable amorphous solids
- Microalloying and the mechanical properties of amorphous solids