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Avalanche size scaling in sheared three-dimensional amorphous solid.

Nicholas P Bailey1, Jakob Schiøtz, Anaël Lemaître

  • 1Department of Mathematics and Physics (IMFUFA), DNRF Center "Glass and Time", Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark. nbailey@ruc.dk

Physical Review Letters
|March 16, 2007
PubMed
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This study analyzes plastic rearrangement events in amorphous solids. Event sizes scale with system size, suggesting fractal avalanche shapes rather than simple ones.

Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Amorphous solids exhibit complex plastic deformation behaviors.
  • Understanding plastic events is crucial for material properties.

Purpose of the Study:

  • Investigate statistics of plastic rearrangement events in simulated amorphous solids at zero temperature.
  • Characterize events by energy release and slip volume.

Main Methods:

  • Simulated amorphous solid at T=0.
  • Analysis of event energy release and slip volume distributions.
  • System size scaling analysis (L^alpha).
  • Fractal dimension and participation ratio calculations.

Main Results:

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  • Event distributions appear exponential for a fixed system size.
  • Characteristic event size is not observed due to mean value increase with system size (L^alpha, alpha ~ 3/2).
  • Avalanches are not simply connected, unlike in 2D models.
  • Evidence of fractal avalanche shapes through fractal dimension and participation ratio.

Conclusions:

  • Plastic rearrangement events in amorphous solids display system-size-dependent statistics.
  • Avalanche structures exhibit fractal characteristics, deviating from simpler 2D models.
  • The observed scaling exponent suggests a complex, non-trivial avalanche geometry.