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Title: Continuum modeling of rate-dependent granular flows in SPH

Abstract

In this paper, 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. In conclusion, this technique may therefore be attractive for modeling the time-dependent evolution of natural and industrial flows.

Authors:
 [1];  [2]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Division of Engineering and Applied Sciences
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1406446
Report Number(s):
LLNL-JRNL-692800
Journal ID: ISSN 2196-4378
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Computational Particle Mechanics
Additional Journal Information:
Journal Volume: 4; Journal Issue: 1; Journal ID: ISSN 2196-4378
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 58 GEOSCIENCES

Citation Formats

Hurley, Ryan C., and Andrade, José E. Continuum modeling of rate-dependent granular flows in SPH. United States: N. p., 2016. Web. doi:10.1007/s40571-016-0132-5.
Hurley, Ryan C., & Andrade, José E. Continuum modeling of rate-dependent granular flows in SPH. United States. doi:10.1007/s40571-016-0132-5.
Hurley, Ryan C., and Andrade, José E. Tue . "Continuum modeling of rate-dependent granular flows in SPH". United States. doi:10.1007/s40571-016-0132-5. https://www.osti.gov/servlets/purl/1406446.
@article{osti_1406446,
title = {Continuum modeling of rate-dependent granular flows in SPH},
author = {Hurley, Ryan C. and Andrade, José E.},
abstractNote = {In this paper, 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. In conclusion, this technique may therefore be attractive for modeling the time-dependent evolution of natural and industrial flows.},
doi = {10.1007/s40571-016-0132-5},
journal = {Computational Particle Mechanics},
number = 1,
volume = 4,
place = {United States},
year = {2016},
month = {9}
}

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