skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 5 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Rapid Granular Flows
journal, January 1990


Axisymmetric Granular Collapse: A Transient 3D Flow Test of Viscoplasticity
journal, March 2009


Smoothed Particle Hydrodynamics
journal, September 1992


Flows of Dense Granular Media
journal, January 2008


Erosion and mobility in granular collapse over sloping beds
journal, January 2010

  • Mangeney, A.; Roche, O.; Hungr, O.
  • Journal of Geophysical Research, Vol. 115, Issue F3
  • DOI: 10.1029/2009JF001462

On the problem of penetration in particle methods
journal, May 1989


Smoothed Particle Hydrodynamics: Some recent improvements and applications
journal, December 1996


Simulating granular column collapse using the Material Point Method
journal, May 2014

  • Mast, Carter M.; Arduino, Pedro; Mackenzie-Helnwein, Peter
  • Acta Geotechnica, Vol. 10, Issue 1
  • DOI: 10.1007/s11440-014-0309-0

Jamming transition in emulsions and granular materials
journal, July 2005


Stresses developed by dry cohesionless granular materials sheared in an annular shear cell
journal, May 1984


Smoothed particle hydrodynamics
journal, July 2005


Numerical Simulations for Large Deformation of Granular Materials Using Smoothed Particle Hydrodynamics Method
journal, April 2012


Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments
journal, February 2010


Granular collapse in two dimensions
journal, August 2005


Continuum modelling and simulation of granular flows through their many phases
journal, August 2015


Smoothed Particle Magnetohydrodynamics - II. Variational principles and variable smoothing-length terms
journal, February 2004


Dam break with Coulomb friction: A model for granular slumping?
journal, May 2005


On the rheology of dilative granular media: Bridging solid- and fluid-like behavior
journal, June 2012

  • Andrade, José E.; Chen, Qiushi; Le, Phong H.
  • Journal of the Mechanics and Physics of Solids, Vol. 60, Issue 6
  • DOI: 10.1016/j.jmps.2012.02.011

Axisymmetric collapses of granular columns
journal, January 1999


Collapses of two-dimensional granular columns
journal, October 2005


Granular solids, liquids, and gases
journal, October 1996

  • Jaeger, Heinrich M.; Nagel, Sidney R.; Behringer, Robert P.
  • Reviews of Modern Physics, Vol. 68, Issue 4
  • DOI: 10.1103/RevModPhys.68.1259

A constitutive law for dense granular flows
journal, June 2006

  • Jop, Pierre; Forterre, Yoël; Pouliquen, Olivier
  • Nature, Vol. 441, Issue 7094
  • DOI: 10.1038/nature04801

Forming the lunar farside highlands by accretion of a companion moon
journal, August 2011


Strength of Granular Materials in Transient and Steady State Rapid Shear
journal, January 2015


The granular column collapse as a continuum: validity of a two-dimensional Navier–Stokes model with a μ( I )-rheology
journal, September 2011

  • Lagrée, P. -Y.; Staron, L.; Popinet, S.
  • Journal of Fluid Mechanics, Vol. 686
  • DOI: 10.1017/jfm.2011.335

Viscoplastic modeling of granular column collapse with pressure-dependent rheology
journal, May 2015

  • Ionescu, Ioan R.; Mangeney, Anne; Bouchut, François
  • Journal of Non-Newtonian Fluid Mechanics, Vol. 219
  • DOI: 10.1016/j.jnnfm.2015.02.006

Frictional velocity-weakening in landslides on Earth and on other planetary bodies
journal, March 2014

  • Lucas, Antoine; Mangeney, Anne; Ampuero, Jean Paul
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4417

Granular flow down an inclined plane: Bagnold scaling and rheology
journal, October 2001


Simulating Free Surface Flows with SPH
journal, February 1994


Study of the collapse of granular columns using two-dimensional discrete-grain simulation
journal, December 2005


The strength and dilatancy of sands
journal, March 1986


Modeling Low Reynolds Number Incompressible Flows Using SPH
journal, September 1997

  • Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi
  • Journal of Computational Physics, Vol. 136, Issue 1
  • DOI: 10.1006/jcph.1997.5776

A SPH model for the simulation of free surface granular flows in a dense regime
journal, January 2015


Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model
journal, August 2008

  • Bui, Ha H.; Fukagawa, Ryoichi; Sako, Kazunari
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 32, Issue 12
  • DOI: 10.1002/nag.688

    Works referencing / citing this record:

    Smooth particle hydrodynamics studies of wet granular column collapses
    journal, June 2019


    The particle finite element method for transient granular material flow: modelling and validation
    journal, February 2020

    • Larsson, Simon; Rodríguez Prieto, Juan Manuel; Gustafsson, Gustaf
    • Computational Particle Mechanics
    • DOI: 10.1007/s40571-020-00317-6