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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Rate-dependent avalanche size in athermally sheared amorphous solids.

Anaël Lemaître1, Christiane Caroli

  • 1Université Paris Est-Institut Navier, 77420 Champs-sur-Marne, France.

Physical Review Letters
|October 2, 2009
PubMed
Summary

Avalanche behavior in two-dimensional glasses sheared at finite rates shows flip-flip correlations are relevant. In steady flow, avalanche size scales with the shear rate to the power of -1/d.

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Computational physics

Background:

  • Avalanche phenomena are critical in amorphous solids, influencing material properties.
  • Understanding these events under shear is key to predicting material failure.
  • Previous studies often focused on idealized conditions, neglecting finite strain rates.

Purpose of the Study:

  • To investigate avalanche behavior in a two-dimensional Lennard-Jones glass at zero temperature.
  • To determine the relevance of flip-flip correlations at finite shear rates.
  • To predict the scaling of avalanche size with shear rate in steady flow.

Main Methods:

  • Extensive numerical simulations of a 2D Lennard-Jones glass.
  • Analysis of stress fluctuations and transverse diffusion.
  • Finite size scaling analysis.

Main Results:

  • Flip-flip correlations were found to be relevant across all realistic shear rates.
  • Avalanche size was observed to scale with the shear rate.
  • The scaling exponent was determined to be -1/d, where d is the space dimension.

Conclusions:

  • Flip-flip correlations play a significant role in the dynamics of sheared glasses.
  • The predicted scaling law provides a framework for understanding avalanche behavior in amorphous materials.
  • This study offers insights into the fundamental mechanisms governing the mechanical response of glasses.