Spatiotemporal analysis of nonaffine displacements in disordered solids sheared across the yielding point

Abstract

The time evolution and spatial correlations of nonaffine displacements in deformed amorphous solids are investigated using molecular dynamics simulations. The three-dimensional model glass is represented via the binary mixture, which is slowly annealed well below the glass transition temperature and then sheared at a constant strain rate. It is shown that with increasing strain, the typical size of clusters of atoms with large nonaffine displacements increases, and these clusters remain spatially homogeneously distributed, until the yielding point when mobile atoms become localized within a system-spanning shear band. Furthermore, the yielding transition is associated with an abrupt change in the spatial correlation of nonaffine displacements, which varies from exponential to power-law decay. We also find that the height of the first peak in the pair correlation function of small atoms exhibits a distinct increase at the yielding strain. These results are discussed in relation to the yielding transition in amorphous materials under cyclic loading.

arXiv comment23 pages, 9 figures

References in corpus (31)

• Dynamics of Viscoplastic Deformation in Amorphous Solids
• Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
• The yielding transition in amorphous solids under oscillatory shear deformation
• A study of the static yield stress in a binary Lennard-Jones glass
• Oscillatory athermal quasi-static deformation of a model glass
• How do the properties of a glass depend on the cooling rate? A computer simulation study of a Lennard-Jones system
• Macroscopic yielding in jammed solids is accompanied by a non-equilibrium first-order transition in particle trajectories
• Formation and growth of shear bands in glasses: existence of an underlying directed percolation transition
• Heterogeneous relaxation dynamics in amorphous materials under cyclic loading
• Mechanical Yield in Amorphous Solids: a First-Order Phase Transition
• Reversible plastic events during oscillatory deformation of amorphous solids
• Direct observation of percolation in the yielding transition of colloidal glasses
• The effect of cryogenic thermal cycling on aging, rejuvenation, and mechanical properties of metallic glasses
• The effects of cooling rate on particle rearrangement statistics: Rapidly cooled glasses are more ductile and less reversible
• Collective nonaffine displacements in amorphous materials during large-amplitude oscillatory shear
• Mechanical annealing of model glasses: Effects of strain amplitude and temperature
• Classification of the reversible-irreversible transitions in particle trajectories across the jamming transition point
• Correlations of plasticity in sheared glasses
• Heterogeneous dynamics during yielding of glasses: effect of aging
• Correlations of non-affine displacements in metallic glasses through the yield transition
• The yielding transition in periodically sheared binary glasses at finite temperature
• Dynamical heterogeneity in periodically deformed polymer glasses
• Nonaffine rearrangements of atoms in deformed and quiescent binary glasses
• Slow relaxation dynamics in binary glasses during stress-controlled, tension-compression cyclic loading
• Aging and rejuvenation during elastostatic loading of amorphous alloys
• Accelerated relaxation in disordered solids under cyclic loading with alternating shear orientation
• The effect of thermal history on the atomic structure and mechanical properties of amorphous alloys
• Atomistic modeling of heat treatment processes for tuning the mechanical properties of disordered solids
• The influence of periodic shear on structural relaxation and pore redistribution in binary glasses
• Structural transformations during periodic deformation of low-porosity amorphous materials
• Noise spectra in the reversible-irreversible transition in amorphous solids under oscillatory driving

Cited by in corpus (7)

• Shear band formation in amorphous materials under oscillatory shear deformation
• Accelerated rejuvenation in metallic glasses subjected to elastostatic compression along alternating directions
• Accessing a broader range of energy states in metallic glasses by variable-amplitude oscillatory shear
• Alternating shear orientation during cyclic loading facilitates yielding in amorphous materials
• A delayed yielding transition in mechanically annealed binary glasses at finite temperature
• Cooling under applied stress rejuvenates amorphous alloys and enhances their ductility
• Shear band healing in amorphous materials by small-amplitude oscillatory shear deformation