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Continuum hydrodynamics of dry granular flows employing multiplicative elastoplasticity

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Abstract

We present a Lagrangian formulation for simulating the continuum hydrodynamics of dry granular flows based on multiplicative elastoplasticity theory for finite deformation calculations. The formulation is implemented within the smoothed particle hydrodynamics (SPH) method along with a variant of the usual dynamic boundary condition. Three benchmark simulations on dry sands are presented to validate the model: (a) a set of plane strain collapse tests, (b) a set of 3D collapse tests, and (c) a plane strain simulation of the impact force generated by granular flow on a rigid wall. Comparison with experimental results suggests that the formulation is sufficiently robust and accurate to model the continuum hydrodynamics of dry granular flows in a laboratory setting. Results of the simulations suggest the potential of the formulation for modeling more complex, field-scale scenarios characterized by more elaborate geometry and multi-physical processes. To the authors’ knowledge, this is the first time the multiplicative plasticity approach has been applied to granular flows in the context of the SPH method.

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After Moriguchi et al. [34]

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Acknowledgements

The first author acknowledges the financial support of the National Council for Scientific and Technological Development in Brazil. Additional funding was provided by the John A. Blume Earthquake Engineering Center at Stanford University. This work was supported in part by the U.S. National Science Foundation under Award Number CMMI-1462231.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Stanford University, Stanford, CA, 94305, USA

    Alomir H. Fávero Neto & Ronaldo I. Borja

  2. CNPq Scholar, Institute for Technological Research, São Paulo, SP, Brazil

    Alomir H. Fávero Neto

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  1. Alomir H. Fávero Neto
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  2. Ronaldo I. Borja
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Correspondence to Ronaldo I. Borja.

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Fávero Neto, A.H., Borja, R.I. Continuum hydrodynamics of dry granular flows employing multiplicative elastoplasticity. Acta Geotech. 13, 1027–1040 (2018). https://doi.org/10.1007/s11440-018-0700-3

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