Title: Shear Is Not Always Simple: Rate-Dependent Effects of Flow Type on Granular Rheology

Journal Article · · Physical Review Letters
ORCiD logo [1]; ORCiD logo [2];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
+ Show Author Affiliations

we report that despite there being an infinite variety of types of flow, most rheological studies focus on a single type such as simple shear. Using discrete element simulations, we explore bulk granular systems in a wide range of flow types at large strains and characterize invariants of the stress tensor for different inertial numbers and interparticle friction coefficients. We identify a strong dependence on the type of flow, which grows with increasing inertial number or friction. Standard models of yielding, repurposed to describe the dependence of the stress on flow type in steady-state flow and at finite rates, are compared with data.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC02-05CH11231; NA0003525
OSTI ID:
1860337
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 127; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (51)

A single numerically efficient equation for approximating the Mohr-Coulomb and the Matsuoka-Nakai failure criteria with rounded edges and apex: A SINGLE EQUATION FOR THE MOHR-COULOMB AND THE MATSUOKA-NAKAI CRITERIA
  • Panteghini, Andrea; Lagioia, Rocco
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, Issue 4 https://doi.org/10.1002/nag.2208
journal July 2013
Three dimensional steady‐state locus for dry monodisperse granular materials: DEM numerical results and theoretical modelling
  • Redaelli, Irene; Prisco, Claudio
  • International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 43, Issue 16 https://doi.org/10.1002/nag.2985
journal August 2019
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Motions with constant stretch history journal January 1962
On the concept of the yield surface journal March 1965
Edelen’s dissipation potentials and the visco-plasticity of particulate media journal April 2014
DEM analysis of the influence of the intermediate stress ratio on the critical-state behaviour of granular materials journal August 2014
Evolution of internal granular structure at the flow-arrest transition journal March 2020
Determination of Yield Surfaces for Isotropic Non-Cohesive Particulate Materials by the Discrete Element Method journal June 2014
Micromechanical Exploration of the Lade–Duncan Yield Surface by the Discrete Element Method journal June 2020
On a viscoplastic model for rocks with mechanism-dependent characteristic times journal July 2006
Extensional motions of spatially periodic lattices journal November 1992
LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales journal February 2022
Fast spectral solution of the generalized Enskog equation for dense gases journal December 2015
Assessing continuum postulates in simulations of granular flow journal May 2009
Viscometric flow of dense granular materials under controlled pressure and shear stress journal November 2020
A constitutive law for dense granular flows journal June 2006
Jamming of frictional spheres and random loose packing journal January 2010
Molecular dynamics with coupling to an external bath journal October 1984
Coarse-grained local and objective continuum description of three-dimensional granular flows down an inclined surface journal July 2013
Periodic boundary conditions for long-time nonequilibrium molecular dynamics simulations of incompressible flows journal November 2014
Molecular simulation of flow-enhanced nucleation in n -eicosane melts under steady shear and uniaxial extension journal December 2016
Analysis of granular rheology in a quasi-two-dimensional slow flow by means of discrete element method based simulations journal January 2020
Periodic boundary conditions for the simulation of uniaxial extensional flow of arbitrary duration journal July 2015
Soil mechanics and plastic analysis or limit design journal January 1952
Continuum Mechanics of Solids book July 2020
Computations of dilatancy and yield surfaces for assemblies of rigid frictional spheres journal February 1998
Kinematic Diffusion in Quasi-Static Granular Deformation journal September 2001
On the existence of a unique class of yield and failure criteria comprising Tresca, von Mises, Drucker–Prager, Mohr–Coulomb, Galileo–Rankine, Matsuoka–Nakai and Lade–Duncan journal January 2016
Granular packings with sliding, rolling, and twisting friction journal September 2020
Criticality in sheared, disordered solids. I. Rate effects in stress and diffusion journal April 2021
Rheology of granular liquids in extensional flows: Beyond the μ ( I ) -law journal July 2021
Granular flow down an inclined plane: Bagnold scaling and rheology journal October 2001
Rheophysics of dense granular materials: Discrete simulation of plane shear flows journal August 2005
Frictionless bead packs have macroscopic friction, but no dilatancy journal July 2008
Class of dilute granular Couette flows with uniform heat flux journal February 2011
Unified theory of inertial granular flows and non-Brownian suspensions journal June 2015
Phase diagram for inertial granular flows journal July 2016
Effect of shape and friction on the packing and flow of granular materials journal November 2018
Rheology of granular flows across the transition from soft to rigid particles journal October 2017
Relating Chain Conformations to Extensional Stress in Entangled Polymer Melts journal July 2018
Flow-Arrest Transitions in Frictional Granular Matter journal January 2019
Topological Linking Drives Anomalous Thickening of Ring Polymers in Weak Extensional Flows journal January 2020
Shear Thickening and Jamming of Dense Suspensions: The “Roll” of Friction journal June 2020
Granular solids, liquids, and gases journal October 1996
A theoretical framework for steady-state rheometry in generic flow conditions journal May 2018
Rheology of dense granular suspensions under extensional flow journal March 2018
Constitutive equation for modeling mixed extension and shear in polymer solution processing journal October 1990
Stresses in smooth flows of dense granular media journal May 2007
On the evolution of stress and microstructure during general 3D deviatoric straining of granular media journal May 2010
Stress-Deformation and Strength Characteristics of soil Under Three Different Principal Stresses journal January 1974

Similar Records

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
granular flows
rheology