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Strain-rate-dependent model for the dynamic compression of elastoplastic spheres.

Hayden A Burgoyne1, Chiara Daraio2

  • 1Graduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, California 91125, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 16, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces a new contact model for elastoplastic spheres, accurately simulating dynamic collisions by incorporating strain-rate-dependent plasticity. The model enhances understanding of particle interactions under compression and unloading.

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Physics

Background:

  • The Hertz contact law describes elastic compression but doesn't account for material plasticity.
  • Understanding particle collisions requires models that include elastoplastic behavior and strain-rate dependence.

Purpose of the Study:

  • To develop a force-displacement contact model for elastoplastic spheres under compressive loading.
  • To incorporate strain-rate-dependent plasticity into existing contact mechanics models.
  • To accurately simulate dynamic collisions and unloading of particles.

Main Methods:

  • Developed a model building upon the Hertz contact law.
  • Used finite-element analysis to derive an empirical function for quasistatic compression.
  • Integrated Johnson-Cook strain rate dependence for dynamic effects.
  • Validated the model using split Hopkinson bar experiments.

Main Results:

  • The model accurately captures the force-displacement response of elastoplastic spheres.
  • Successfully simulated dynamic compression and unloading behavior.
  • Demonstrated the importance of strain-rate-dependent plasticity in particle collisions.

Conclusions:

  • The presented model provides an accurate simulation of elastoplastic sphere collisions.
  • This work advances the understanding of dynamic material behavior in granular systems.
  • The model serves as a valuable tool for analyzing particle interactions in various engineering applications.