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Impact occurs when two bodies collide, leading to the application of impulsive forces between them. Analyzing impact mechanics involves considering two colliding particles moving along a line known as the line of impact, which passes through their centers and is perpendicular to the contact plane.
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Development of an Experimental Setup for the Measurement of the Coefficient of Restitution under Vacuum Conditions
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Collisional model for granular impact dynamics.

Abram H Clark1, Alec J Petersen1, Robert P Behringer1

  • 1Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 4, 2014
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Summary
This summary is machine-generated.

A new model explains intruder stopping forces in granular materials using grain collisions. This model successfully predicts intruder deceleration and rotation based on shape, revealing underlying grain-scale physics.

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Area of Science:

  • Physics
  • Materials Science
  • Granular Mechanics

Background:

  • Granular materials exert stopping forces on intruders.
  • Previous studies used macroscopic force laws, like velocity-squared drag, but microscopic origins remain debated.

Purpose of the Study:

  • To present a microscopic model for velocity-squared drag force in granular impacts.
  • To investigate the role of grain-scale collisions and force networks.
  • To explore the influence of intruder shape on dynamics.

Main Methods:

  • Developed a collisional model based on photoelastic particle experiments.
  • Analyzed high-speed photoelastic data to identify grain clusters.
  • Conducted 2D granular impact experiments with various intruder shapes, focusing on triangular-nosed intruders.

Main Results:

  • The model links velocity-squared drag force to collisions with excited force network segments.
  • A scaling relation for drag force, accounting for intruder shape, was predicted.
  • The model accurately predicted rotational instabilities dependent on intruder shape.

Conclusions:

  • The collisional model effectively captures intruder deceleration and rotation dynamics.
  • Deceleration and rotation are manifestations of the same grain-scale physical processes.
  • Intruder shape significantly influences granular impact dynamics.