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Published March 12, 2014 | Published
Journal Article Open

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


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.

Additional Information

© 2014 American Physical Society. Received 3 January 2014; published 12 March 2014. We would like to thank Prof. Guruswami Ravichandran for discussions and support with experiments, as well as Dr. Dipankar Ghosh and Christian Kettenbeil. This research was supported by Air Force Office of Scientific Research Grant No. FA9550-12-1-0091 through the University Center of Excellence in High-Rate Deformation Physics of Heterogeneous Materials.

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Published - PhysRevE.89.032203.pdf


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