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Continuum modeling of rate-dependent granular flows in SPH

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Abstract

We discuss a constitutive law for modeling rate-dependent granular flows that has been implemented in smoothed particle hydrodynamics (SPH). We model granular materials using a viscoplastic constitutive law that produces a Drucker–Prager-like yield condition in the limit of vanishing flow. A friction law for non-steady flows, incorporating rate-dependence and dilation, is derived and implemented within the constitutive law. We compare our SPH simulations with experimental data, demonstrating that they can capture both steady and non-steady dynamic flow behavior, notably including transient column collapse profiles. This technique may therefore be attractive for modeling the time-dependent evolution of natural and industrial flows.

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Acknowledgments

Support by the Air Force Office of Scientific Research Grant # FA9550-12-1-0091 through the University Center of Excellence in High-Rate Deformation Physics of Heterogeneous Materials is gratefully acknowledged. This work was partially performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344.

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  1. Ryan C. Hurley

    Present address: Lawrence Livermore National Laboratory, Livermore, CA, 94550, USA

Authors and Affiliations

  1. Division of Engineering and Applied Sciences, California Institute of Technology, Pasadena, CA, 91125, USA

    Ryan C. Hurley & José E. Andrade

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  1. Ryan C. Hurley
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  2. José E. Andrade
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Correspondence to Ryan C. Hurley.

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Hurley, R.C., Andrade, J.E. Continuum modeling of rate-dependent granular flows in SPH. Comp. Part. Mech. 4, 119–130 (2017). https://doi.org/10.1007/s40571-016-0132-5

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  • DOI: https://doi.org/10.1007/s40571-016-0132-5

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