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Local and global avalanches in a two-dimensional sheared granular medium.

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Avalanches in sheared amorphous materials exhibit scale-free behavior, with power-law distributions influenced by friction and packing. Simple relationships link local and global avalanche events during shear.

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Area of Science:

  • Soft Matter Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Amorphous materials exhibit complex behaviors under shear.
  • Understanding avalanche dynamics is crucial for predicting material failure.
  • Photoelastic disks provide a model system for studying stress propagation.

Purpose of the Study:

  • To investigate the statistics of avalanches in a 2D sheared amorphous material.
  • To analyze local and global fluctuations in energy, position, and orientation during shear.
  • To compare experimental and numerical findings with theoretical predictions.

Main Methods:

  • Experimental study using bidisperse photoelastic disks under shear.
  • Numerical simulations of the same material system.
  • Statistical analysis of avalanche events, including energy and particle rearrangements.
  • Comparison with mean-field and depinning theories.

Main Results:

  • Scale-free power-law distributions observed for both local and global avalanches.
  • Avalanche cutoffs depend on interparticle friction and packing fraction.
  • Asymmetric avalanche shapes and shear band triggering identified.
  • A simple, intensity-independent relation found between local and global avalanches.

Conclusions:

  • Avalanche dynamics in sheared amorphous materials follow universal scaling laws.
  • Interparticle friction and packing fraction are key parameters governing avalanche behavior.
  • Experimental and numerical results align with theoretical frameworks, offering insights into material failure.