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Effects of particle angularity on granular self-organization.

Dominik Krengel1, Haoran Jiang2, Takashi Matsushima3

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Particle angularity does not affect self-organization in 2D systems, but increasing angularity makes stress distribution sensitive to friction. This impacts understanding of granular materials and cell mechanics.

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Area of Science:

  • Physics
  • Materials Science
  • Computational Modeling

Background:

  • Two-dimensional polydisperse disk systems exhibit coordinated self-organization of cell stresses and shapes.
  • Distributions often collapse onto a master form across various parameters like size, friction, and order.
  • The influence of particle shape, specifically angularity, on these self-organization phenomena requires further investigation.

Purpose of the Study:

  • To investigate the impact of particle angularity on the self-organization indicators in two-dimensional granular systems.
  • To systematically vary the angularity of particles (regular N-gons) and assess its effect on stress-orientation correlations and stress ratio distributions.
  • To determine if the observed self-organization phenomena are robust across different particle shapes and friction coefficients.

Main Methods:

  • Utilized computational simulations of bidisperse systems composed of regular N-polygons.
  • Systematically varied the number of sides (N) of the polygons to represent increasing angularity.
  • Analyzed local cell stresses, cell orientations, and conditional distributions of scaled cell stress ratios.

Main Results:

  • The strong correlation between local cell stresses and orientations is independent of particle angularity and friction coefficient.
  • Conditional distributions of scaled cell stress ratios collapse onto a master Weibull form for all particle orders (k), irrespective of angularity and friction.
  • Increasing particle angularity renders the collapses of conditional distributions sensitive to variations in the friction coefficient.

Conclusions:

  • The fundamental self-organization of stress and shape in 2D granular systems, characterized by master distribution collapses, is largely independent of particle angularity and friction.
  • However, the sensitivity of these distribution collapses to friction increases with particle angularity, suggesting a more complex interplay at higher angularity.
  • Findings contribute to understanding the mechanics of granular materials and soft matter systems where particle shape plays a crucial role.