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Dilatancy, buckling, and undulations on a vertically vibrating granular layer.

Osamu Sano1

  • 1Department of Applied Physics, Tokyo University of Agriculture and Technology, Koganei, Tokyo 184-8588, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
Summary

Experiments on vibrated lead spheres reveal subharmonic undulations and ripples. Changes in forcing and container size influence particle configuration, leading to buckling and bending of the granular layer.

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Area of Science:

  • Physics
  • Complex Systems
  • Materials Science

Background:

  • Granular materials exhibit complex behaviors under external stimuli.
  • Vertical vibration can induce pattern formation in granular layers.

Purpose of the Study:

  • To investigate the emergence of subharmonic undulations and ripples in a vibrated granular layer.
  • To understand the influence of external forcing parameters and container geometry on granular layer dynamics.

Main Methods:

  • Experiments were conducted on a quasi-two-dimensional granular layer of lead spheres.
  • Systematic variation of vibration frequency, amplitude, container size, and layer height.
  • Observation and analysis of induced undulations, ripples, buckling, and bending patterns.

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Main Results:

  • Subharmonic undulations and ripples were observed, linked to horizontal dilatation upon bottom wall impact.
  • Various eigenmodes of undulations were identified, dependent on particle configuration changes at the bottom wall.
  • Enhanced horizontal stress, resulting from particle rearrangement, induced buckling and bending in the granular layer.

Conclusions:

  • The study demonstrates a mechanism for pattern formation in granular materials driven by external vibration.
  • Particle configuration and resulting stress are critical factors in selecting granular layer deformation modes.
  • Findings contribute to understanding the physics of granular media and their response to dynamic forcing.