Universal mechanical instabilities in the energy landscape of amorphous solids: evidence from athermal quasistatic expansion
arXiv:2109.06902 · doi:10.1103/PhysRevE.106.055004
Abstract
Using numerical simulations, we study the failure of an amorphous solid under quasi-static expansion starting from a homogeneous high-density state. During the volume expansion, we demonstrate the existence of instabilities manifesting via saddle-node bifurcation in which a minimum meets a saddle. During all such events, the smallest eigenvalue of the Hessian matrix vanishes as a square-root singularity. The plastic instabilities are manifested via sudden jumps in pressure and energy, with the largest event happening when a cavity appears, leading to the yielding of the material. We show that during cavitation and prior to complete fracture, the statistics of pressure or energy jumps corresponding to the plastic events show sub-extensive finite-size scaling, similar to the case of simple shear but with different exponents. Thus, overall, our study reveals universality in the fundamental characteristics during mechanical failure in amorphous solids under any quasi-static deformation protocol.
arXiv comment4 figures, ancillary pdf
References in corpus (22)
- Dynamics of Viscoplastic Deformation in Amorphous Solids
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
- 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
- Glass breaks like metals, but at the nanometer scale
- Growth, microstructure, and failure of crazes in glassy polymers
- Statistical Physics of the Yielding Transition in Amorphous Solids
- Liquid Limits: The Glass Transition and Liquid-Gas Spinodal Boundaries of Metastable Liquids
- Driving rate dependence of avalanche statistics and shapes at the yielding transition
- Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids
- Influence of the glass transition on the liquid-gas spinodal decomposition
- Statistical Physics of Elasto-Plastic Steady States in Amorphous Solids: Finite Temperatures and Strain Rates
- Elastic avalanches reveal marginal behaviour in amorphous solids
- Athermal Nonlinear Elastic Constants of Amorphous Solids
- Understanding fast macroscale fracture from microcrack post mortem patterns
- Oscillatory Instabilities in Frictional Granular Matter
- Effect of pinning on the yielding transition of amorphous solids
- Dynamic Failure in Amorphous Solids via a Cavitation Instability
- The Stability of an Expanding Circular Cavity and the Failure of Amorphous Solids
- Exploring structural inhomogeneities in glasses during cavitation