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Related Experiment Videos

From plasticity to a renormalization group.

R C Ball1, R Blumenfeld

  • 1Department of Physics, University of Warwick, Coventry CV4 7AL, UK.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|July 23, 2003
PubMed
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Granular materials may exist in a distinct "marginally rigid state." Experiments with rough particles confirm low coordination numbers, suggesting unique stress transmission governed by local constraints and grain interactions.

Area of Science:

  • Physics of granular materials
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Granular materials exhibit unique behaviors distinct from liquids and solids.
  • The 'marginally rigid state' is proposed as a distinct phase of matter for granular systems.
  • Coordination number is a key characteristic differentiating states of matter.

Purpose of the Study:

  • To investigate the characteristics of the marginally rigid state in granular materials.
  • To experimentally verify predicted low coordination numbers for rough particles.
  • To understand stress transmission mechanisms and their relation to grain motion.

Main Methods:

  • Conducted simple two-dimensional experiments with rough-surfaced particles.
  • Performed calculations of stress transmission through the granular assembly.

Related Experiment Videos

  • Employed renormalization-group calculations to address scaling issues in stress equations.

    • Main Results:

    • Experimental results approached the predicted low coordination numbers for rough particles.
    • Stress transmission was found to be governed by local linear equations of constraint.
    • These constraints relate to generalized forces from rolling grains, with scaling challenges identified.

    Conclusions:

    • The marginally rigid state is supported by experimental evidence of low coordination numbers.
    • Local constraints govern stress transmission, influenced by grain-grain interactions.
    • Perturbation propagation differs between rough and smooth grains, highlighting surface effects.