The Universality Class of Nano-Crystal Plasticity: Self-Organization and Localization in Discrete Dislocation Dynamics

Abstract

The universality class of the avalanche behavior in plastically deforming crystalline and amorphous systems has been commonly discussed, despite the fact that the microscopic defect character in each of these systems is different. In contrast to amorphous systems, crystalline flow stress increases dramatically at high strains and/or loading rates. We perform simulations of a two-dimensional discrete dislocation dynamics model that minimally captures the phenomenology of nanocrystalline deformation. In the context of this model, we demonstrate that a classic rate-dependence of dislocation plasticity at large rates (> 1000/s), fundamentally controls the system's statistical character as it competes with dislocation nucleation: At large rates, the behavior is statistically dominated by long-range correlations of "dragged" mobile dislocations. At small rates, plasticity localization dominates in small volumes and a spatial integration of avalanche behaviors takes place.

arXiv comment6 pages, 4 figures

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Cited by in corpus (10)

• Variety of scaling behaviors in nanocrystalline plasticity
• Fluctuations in crystalline plasticity
• Data-mining of dislocation microstructures: concepts for coarse-graining of internal energies
• Direct detection of plasticity onset through total-strain profile evolution
• Avalanches and rate effects in strain-controlled discrete dislocation plasticity of Al single crystals
• Dynamic Length Scale and Weakest Link Behavior in Crystal Plasticity
• Efficient numerical method to handle boundary conditions in 2D elastic media
• Effect of Anisotropic Peierls Barrier on the Evolution of Discrete Dislocation Networks in Ni
• Multiscale study of the dynamic friction coefficient due to asperity plowing
• Predicting the flow stress and dominant yielding mechanisms: analytical models based on discrete dislocation plasticity