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Burgoyne HA, Daraio C. Strain-rate-dependent model for the dynamic compression of elastoplastic spheres. Phys Rev E Stat Nonlin Soft Matter Phys. 2014;89(3):032203doi: 10.1103/PhysRevE.89.032203.
Burgoyne, H. A., & Daraio, C. (2014). Strain-rate-dependent model for the dynamic compression of elastoplastic spheres. Physical review. E, Statistical, nonlinear, and soft matter physics, 89(3), 032203. https://doi.org/10.1103/PhysRevE.89.032203
Burgoyne, Hayden A, and Daraio, Chiara. "Strain-rate-dependent model for the dynamic compression of elastoplastic spheres." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 89,3 (2014): 032203. doi: https://doi.org/10.1103/PhysRevE.89.032203
Burgoyne HA, Daraio C. Strain-rate-dependent model for the dynamic compression of elastoplastic spheres. Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Mar;89(3):032203. doi: 10.1103/PhysRevE.89.032203. Epub 2014 Mar 12. PMID: 24730833.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Mar;89(3):032203. doi: 10.1103/PhysRevE.89.032203. Epub 2014 Mar 12.

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

Physical review. E, Statistical, nonlinear, and soft matter physics

Hayden A Burgoyne, Chiara Daraio

Affiliations

  1. Graduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, California 91125, USA.
  2. Graduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, California 91125, USA and Chair in Mechanics and Materials, ETH Zurich, Zurich 8092, Switzerland.

PMID: 24730833 DOI: 10.1103/PhysRevE.89.032203

Abstract

We present a force-displacement contact model for the compressive loading of elastoplastic spheres. This model builds from the well known Hertz contact law for elastic, quasistatic compression to incorporate a material's strain-rate-dependent plasticity in order to describe collisions between particles. In the quasistatic regime, finite-element analysis is used to derive an empirical function of the material properties. A Johnson-Cook strain rate dependence is then included into the model to study dynamic effects. We validate the model using split Hopkinson bar experiments and show that the model can accurately simulate the force-displacement response of strain-rate-dependent elastoplastic spheres during dynamic compression and unloading.

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