Clustering of negative topological charge precedes plastic failure in 3D glasses
arXiv:2401.15359 · doi:10.1093/pnasnexus/pgae315
Abstract
The deformation mechanism in amorphous solids subjected to external shear remains poorly understood because of the absence of well-defined topological defects mediating the plastic deformation. The notion of soft spots has emerged as a useful tool to characterize the onset of irreversible rearrangements and plastic flow, but these entities are not clearly defined in terms of geometry and topology. In this study, we unveil the phenomenology of recently discovered, precisely defined topological defects governing the microscopic mechanical and yielding behavior of a model 3D glass under shear deformation. We identify the existence of vortex-like and anti-vortex-like topological defects within the 3D non-affine displacement field. The number density of these defects exhibits a significant anti-correlation with the plastic events, with defect proliferation-annihilation cycles matching the alternation of elastic-like segments and catastrophic plastic drops, respectively. Furthermore, we observe collective annihilation of these point-like defects via plastic events, with large local topological charge fluctuations in the vicinity of regions that feature strong non-affine displacements. We reveal that plastic yielding is driven by several large sized clusters of net negative topological charge, the massive annihilation of which triggers the onset of plastic flow. These findings suggest a geometric and topological characterization of soft spots and pave the way for the mechanistic understanding of topological defects as mediators of plastic deformation in glassy materials.
arXiv commentAccepted for publication in PNAS Nexus
References in corpus (24)
- Dynamics of Viscoplastic Deformation in Amorphous Solids
- Vibrational modes identify soft spots in a sheared disordered packing
- Continuum limit of amorphous elastic bodies: A finite-size study of low frequency harmonic vibrations
- Disclinations, dislocations and continuous defects: a reappraisal
- Experiments in vortex avalanches
- Predicting plasticity in disordered solids from structural indicators
- Nonaffine Correlations in Random Elastic Media
- Microscopic Mechanism of Shear Bands in Amorphous Solids
- Plasticity in amorphous solids is mediated by topological defects in the displacement field
- Shear banding in metallic glasses described by alignments of Eshelby quadrupoles
- Structural and Topological Nature of Plasticity in Sheared Granular Materials
- Topology of vibrational modes predict plastic events in glasses
- Emergent Elasticity in Amorphous Solids
- Anomalous Elasticity and Screening in Amorphous Solids
- Deformations, relaxation and broken symmetries in liquids, solids and glasses: a unified topological field theory
- Introduction to topological defects: from liquid crystals to particle physics
- Tensor Electromagnetism and Emergent Elasticity in Jammed Solids
- Topological defects reveal the plasticity of glasses
- Predicting plasticity of amorphous solids from instantaneous normal modes
- Instantaneous Normal Modes Reveal Structural Signatures for the Herschel-Bulkley Rheology in Sheared Glasses
- Geometric Theory of Mechanical Screening in two-dimensional solids
- Normal modes, and acoustic properties, of an elastic solid with line defects
- Inherent-State Melting and the Onset of Glassy Dynamics in Two-Dimensional Supercooled Liquids
- Non-metricity in the continuum limit of randomly-distributed point defects
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- Geometric indicators of local plasticity in glasses measured by scanning small-beam diffraction
- On the geometry of topological defects in glasses
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