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Anomalous stress fluctuations in athermal two-dimensional amorphous solids.

Yegang Wu1, Kamran Karimi2, Craig E Maloney3

  • 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.

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Summary

This study reveals that stress fluctuations in 2D amorphous solids increase at large scales, challenging existing theories. These findings suggest a general property of such materials, impacting our understanding of mechanical stability.

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Area of Science:

  • Physics
  • Materials Science
  • Computational Science

Background:

  • Amorphous solids exhibit complex mechanical behaviors.
  • Understanding stress distribution is crucial for material stability.
  • Jamming transition in granular materials is a key area of research.

Purpose of the Study:

  • To numerically investigate local stress distribution in 2D amorphous solids.
  • To analyze stress fluctuations above the jamming transition.
  • To compare numerical findings with theoretical predictions.

Main Methods:

  • Numerical simulations of bidisperse frictionless disk packings.
  • Analysis of the Fourier transform of local stress.
  • Study of inherent states of quenched Lennard-Jones liquids.

Main Results:

  • Evidence of algebraically increasing stress fluctuations at small wave numbers.
  • Demonstration of a lack of self-averaging of stress on large length scales.
  • Identification of a stress fluctuation crossover length scale (ℓ₀) that shows weak dependence on packing fraction.

Conclusions:

  • Numerical results contradict recent theoretical predictions for stress fluctuations.
  • Increasing stress fluctuations may be a general characteristic of 2D amorphous solids.
  • The findings have implications for the mechanical properties and stability of disordered materials.