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.

23 pages, 9 figures

References in corpus (7)

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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