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Related Experiment Videos

Rigidity phase transition in granular packings.

E Aharonov1, D Sparks

  • 1Lamont-Doherty Earth-Observatory, Columbia University, Route 9W, Palisades, New York 10964, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Granular materials exhibit a critical rigidity transition at a specific grain volume fraction (nu(c)). Below this threshold, they behave like gases, and above it, they show elastic-plastic properties, forming a critical state.

Area of Science:

  • Physics
  • Materials Science
  • Computational Mechanics

Background:

  • Granular materials exhibit complex behaviors influenced by packing density and inter-particle forces.
  • Understanding rigidity transitions is crucial for predicting material response under stress.
  • Previous models often simplified wall interactions or packing dynamics.

Purpose of the Study:

  • To numerically model two-dimensional granular systems confined by rough walls.
  • To identify and characterize the rigidity transition in granular aggregates.
  • To investigate the self-organization of granular systems towards a critical state.

Main Methods:

  • Numerical modeling of 2D granular systems.
  • Simulation of granular aggregates confined between rough walls.

Related Experiment Videos

  • Analysis of system behavior across varying grain volume fractions (nu).

    • Main Results:

    • An abrupt rigidity transition was observed at a critical grain volume fraction (nu(c)).
    • The transition exhibited first-order characteristics, with elastic constants showing a second-order transition.
    • Densely packed systems (nu > nu(c)) displayed elastic-plastic rheology, while loose packings (nu < nu(c)) behaved like gases.
    • Systems spontaneously evolved to nu(c) under constant normal stress, indicating an attractive critical state.

    Conclusions:

    • A critical grain volume fraction governs the transition between gas-like and solid-like behaviors in confined granular systems.
    • The observed critical state is an attractive attractor for granular systems under stress.
    • These findings provide insights into the fundamental mechanics and phase transitions of granular matter.