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Simple model for granular friction.

H Hayakawa1

  • 1Graduate School of Human and Environmental Studies, Kyoto University, Sakyo-ku, Kyoto 606-8501, Japan.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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We developed a model for plate motion on granular layers, capturing solid-to-liquid transitions. This model explains experimental observations like friction hysteresis and slip velocity, predicting how pushing speed affects the hysteresis loop area.

Area of Science:

  • Physics of granular materials
  • Non-linear dynamics
  • Friction and tribology

Background:

  • Granular materials exhibit complex behaviors under shear, including transitions between solid-like and liquid-like states.
  • Experimental studies have observed hysteresis in frictional forces and universal slip velocity profiles during plate motion on granular layers.

Purpose of the Study:

  • To propose a simple phenomenological model for describing plate motion on granular layers at constant speed.
  • To incorporate an order parameter that characterizes the solid-like to liquid-like state transition.
  • To validate the model against experimental observations of friction and slip velocity.

Main Methods:

  • Development of a phenomenological model incorporating an order parameter for state transitions.

Related Experiment Videos

  • Analysis of model predictions for frictional force and slip velocity profiles.
  • Comparison of model results with experimental data on granular layer dynamics.

    • Main Results:

    • The proposed model successfully reproduces the observed hysteresis in frictional force.
    • The model accurately predicts the universal profile of slip velocity.
    • The model demonstrates that the area of the hysteresis loop is dependent on the pushing speed.

    Conclusions:

    • The developed phenomenological model provides a simplified yet effective description of plate motion on granular layers.
    • The model successfully captures key phenomena such as friction hysteresis and slip velocity profiles.
    • The study highlights the influence of pushing speed on the dynamics of granular interfaces.