Continuum modeling of rate-dependent granular flows in SPH

doi:10.1007/s40571-016-0132-5

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:

Hurley, Ryan C. ^[1]; Andrade, José E. ^[2]

California Inst. of Technology (CalTech), Pasadena, CA (United States). Division of Engineering and Applied Sciences
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: 2016-09-13

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.

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                    Hurley, Ryan C., & Andrade, José E. Continuum modeling of rate-dependent granular flows in SPH.  United States.  doi:10.1007/s40571-016-0132-5.

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                    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.

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@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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DOI: 10.1007/s40571-016-0132-5

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Continuum modelling and simulation of granular flows through their many phases
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Granular flow down an inclined plane: Bagnold scaling and rheology
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Works referencing / citing this record:

Simulation of quasi-static axisymmetric collapse of granular columns using smoothed particle hydrodynamics and discrete element methods
journal, August 2018

Kermani, Elnaz; Qiu, Tong
Acta Geotechnica, Vol. 15, Issue 2
DOI: 10.1007/s11440-018-0707-9

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

Wang, Guanjin; Riaz, Amir; Balachandran, Balakumar
Acta Geotechnica, Vol. 15, Issue 5
DOI: 10.1007/s11440-019-00828-4

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

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

Abstract

Citation Formats

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

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

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

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

A constitutive law for dense granular flows journal, June 2006

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

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

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

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

Fundamental changes of granular flow dynamics, deposition, and erosion processes at high slope angles: Insights from laboratory experiments: GRANULAR FLOW DYNAMICS, DEPOSITION, AND EROSION PROCESSES journal, March 2014

The strength and dilatancy of sands journal, March 1986

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

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

Simulation of quasi-static axisymmetric collapse of granular columns using smoothed particle hydrodynamics and discrete element methods journal, August 2018

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

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

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

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

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

A constitutive law for dense granular flows
journal, June 2006

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

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

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

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

Fundamental changes of granular flow dynamics, deposition, and erosion processes at high slope angles: Insights from laboratory experiments: GRANULAR FLOW DYNAMICS, DEPOSITION, AND EROSION PROCESSES
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The strength and dilatancy of sands
journal, March 1986

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

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

Simulation of quasi-static axisymmetric collapse of granular columns using smoothed particle hydrodynamics and discrete element methods
journal, August 2018

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