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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...

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Avalanches in 2D dislocation systems: plastic yielding is not depinning.

Péter Dusán Ispánovity¹, Lasse Laurson², Michael Zaiser³

¹Department of Materials Physics, Eötvös University Budapest, H-1117 Budapest, Pázmány Péter Sétány 1/a, Hungary.

Physical Review Letters

|June 28, 2014

Summary

Dislocation avalanches in 2D models exhibit scale-free dynamics, differing from depinning models. Their statistics show a power-law distribution, not critical behavior, challenging previous assumptions.

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Area of Science:

Materials Science
Condensed Matter Physics
Computational Materials Science

Background:

Dislocation avalanches, or strain bursts, are crucial in plastic deformation.
Previous models suggested avalanche statistics align with depinning transitions in disordered systems.

Purpose of the Study:

Investigate the statistical properties of dislocation avalanches in 2D discrete dislocation dynamics (DDD) models.
Determine if avalanche dynamics conform to depinning transition predictions.

Main Methods:

Utilized quasistatic stress-controlled loading in 2D discrete dislocation dynamics simulations.
Analyzed the power-law distribution of slip and released energy from avalanches.

Main Results:

Found avalanche statistics fundamentally differ from depinning predictions.
Observed a power-law exponent τ=1 for slip/energy distribution.
Identified an exponentially increasing cutoff with applied stress, diverging with system size.

Conclusions:

2D dislocation systems exhibit scale-free avalanche dynamics at all applied stresses.
The observed dynamics cannot be explained by critical behavior associated with depinning transitions.