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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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Updated: Feb 22, 2026

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Planar granular shear flow under external vibration.

Eric P Hoppmann1, Brian C Utter1,2

  • 1Department of Physics and Astronomy, James Madison University, Harrisonburg, Virginia 22807, USA.

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Summary

External vibration disrupts force networks in granular materials, reducing stress and strain. This granular shear experiment shows vibration failure of force chains, enabling easier particle flow.

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Area of Science:

  • Soft Matter Physics
  • Granular Mechanics
  • Complex Systems

Background:

  • Granular materials exhibit complex behaviors under shear, influenced by particle shape and interparticle forces.
  • External stimuli like vibration can significantly alter the mechanical response and flow properties of jammed granular systems.

Purpose of the Study:

  • To investigate the effects of external vibration on the mechanical response and flow dynamics of a 2D granular assembly of pentagonal particles under planar shear.
  • To quantify changes in interparticle stresses and grain-scale motion induced by vibration.

Main Methods:

  • Planar shear experiment with a 2D horizontal assembly of pentagonal particles confined between parallel walls.
  • Particle tracking velocimetry and photoelasticity to measure grain motion and interparticle stresses.
  • Application of external vibration via shearing surface or bulk vertical vibration, with controlled dimensionless accelerations (Γ).

Main Results:

  • Increasing vibration amplitude (A) at fixed frequency (f) leads to the failure of the force network, reducing mean stress and imposed strain.
  • Vibration induces transient vortex motion and a mean flow characterized by exponential profiles.
  • Surface vibration promotes the slipping of large-angle force chains, facilitating flow.

Conclusions:

  • External vibration effectively controls the mechanical response of jammed granular materials, promoting flow by disrupting force networks.
  • The observed effects are primarily dependent on vibration amplitude rather than frequency within the studied range.
  • Sufficient particle displacement is necessary to overcome geometrical frustration in jammed states.