Atomic nonaffinity as a predictor of plasticity in amorphous solids
arXiv:1905.12035 · doi:10.1103/PhysRevMaterials.5.025603
Abstract
Structural heterogeneity of amorphous solids present difficult challenges that stymie the prediction of plastic events, which are intimately connected to their mechanical behavior. Based on a perturbation analysis of the potential energy landscape, we derive the atomic nonaffinity as an indicator with intrinsic orientation, which quantifies the contribution of an individual atom to the total nonaffine modulus of the system. We find that the atomic nonaffinity can efficiently characterize the locations of the shear transformation zones, with a predicative capacity comparable to the best indicators. More importantly, the atomic nonaffinity, combining the sign of third order derivative of energy with respect to coordinates, reveals an intrinsic softest shear orientation. By analyzing the angle between this orientation and the shear loading direction, it is possible to predict the protocol-dependent response of plastic events. Employing the new method, the distribution of orientations of shear transformation zones in a model two-dimensional amorphous solids can be measured. The resulting plastic events can be understood from a simple model of independent plastic events occurring at variously oriented shear transformation zones. These results shed light on the characterization and prediction of the mechanical response of amorphous solids.
arXiv comment3 figures
References in corpus (21)
- Dynamics of Viscoplastic Deformation in Amorphous Solids
- Irreversible reorganization in a supercooled liquid originates from localised soft modes
- Identifying structural flow defects in disordered solids using machine learning methods
- Vibrational modes identify soft spots in a sheared disordered packing
- Local elasticity map and plasticity in a model Lennard-Jones glass
- Scaling description of the yielding transition in soft amorphous solids at zero temperature
- Universal Breakdown of Elasticity at the Onset of Material Failure
- Predicting plasticity in disordered solids from structural indicators
- Statistical Physics of the Yielding Transition in Amorphous Solids
- Evaluation of the "disorder temperature" and "free volume" formalisms via simulations of shear banding in amorphous solids
- On the density of shear transformation zones in amorphous solids
- Local yield stress statistics in model amorphous solids
- A transferable machine-learning framework linking interstice distribution and plastic heterogeneity in metallic glasses
- Local thermal energy as a structural indicator in glasses
- Structural heterogeneity and its role in determining properties of disordered solids
- Stochastic Approach to Plasticity and Yield in Amorphous Solids
- Origin of the Bauschinger Effect in Amorphous Solids
- Anisotropic Structural Predictor in Glassy Materials
- Shear Transformation Zones: State Determined or Protocol Dependent?
- The micromechanics of nonlinear plastic modes
- Orientation of plastic rearrangements in two-dimensional model glasses under shear
Cited by in corpus (7)
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- Correlation between plastic rearrangements and local structure in a cyclically driven glass
- Hedgehog topological defects in 3D amorphous solids
- Kovacs-like memory effect in a sheared colloidal glass: role of non-affine flows
- Yielding in dense active matter