Yield precursor dislocation avalanches in small crystals: the irreversibility transition

Kavli Affiliate: Julia R. Greer

| First 5 Authors: Xiaoyue Ni, Haolu Zhang, Danilo B. Liarte, Louis W. McFaul, Karin A. Dahmen

| Summary:

The transition from elastic to plastic deformation in crystalline metals
shares history dependence and scale-invariant avalanche signature with other
non-equilibrium systems under external loading: dilute colloidal suspensions,
plastically-deformed amorphous solids, granular materials, and
dislocation-based simulations of crystals. These other systems exhibit
transitions with clear analogies to work hardening and yield stress, with many
typically undergoing purely elastic behavior only after ‘training’ through
repeated cyclic loading; studies in these other systems show a power law
scaling of the hysteresis loop extent and of the training time as the peak load
approaches a so-called reversible-irreversible transition (RIT). We discover
here that deformation of small crystals shares these key characteristics:
yielding and hysteresis in uniaxial compression experiments of
single-crystalline Cu nano- and micro-pillars decay under repeated cyclic
loading. The amplitude and decay time of the yield precursor avalanches diverge
as the peak stress approaches failure stress for each pillar, with a power law
scaling virtually equivalent to RITs in other nonequilibrium systems.

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