DEM investigation of particle anti-rotation effects on the micromechanical response of granular materials

The importance of particle rotation to the mechanical behavior of granular materials subject to quasi-static shearing has been well recognized in the literature. Although the physical source of the resistance to particle rotation is known to lie in the particle surface topography, it has been conveniently studied using the rolling resistance model installed typically on spherical particles within the DEM community. However, there has been little effort on assessing the capability of the rolling resistance model to produce more realistic particle rotation behavior as exhibited by irregular-shaped particles. This paper aims to eliminate this deficiency by making a comprehensive comparison study on the micromechanical behavior of assemblies of irregular-shaped particles and spherical particles installed with the rolling resistance model. A variety of DEM analysis techniques have been applied to elucidate the full picture of micromechanical processes occurring in the two types of granular materials with different particle-level anti-rotation mechanisms. Simulation results show that the conventional rheology-type rolling resistance models cannot reproduce the particle rotation and strain localization behavior as displayed by irregular-shaped materials, although they demonstrate clear effects on the macroscopic strength and dilatancy behavior, as have been adequately documented in the literature. More insights into the effects of particle-level anti-rotation mechanism are gained from an in-depth inter-particle energy dissipation analysis.

[1]  I Vardoulakis,et al.  Effect of rolling on dissipation in fault gouges. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Katalin Bagi,et al.  Contact rolling and deformation in granular media , 2004, 1901.07342.

[3]  V. N. Georgiannou,et al.  Effect of grain shape and angularity on the undrained response of fine sands , 2010 .

[4]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[5]  M. Gutierrez,et al.  Comprehensive study of the effects of rolling resistance on the stress–strain and strain localization behavior of granular materials , 2010 .

[6]  Mohammad Hossein Abbaspour-Fard,et al.  Shape representation of axi‐symmetrical, non‐spherical particles in discrete element simulation using multi‐element model particles , 1999 .

[7]  Hai-Sui Yu,et al.  A novel discrete model for granular material incorporating rolling resistance , 2005 .

[8]  A. Tordesillas,et al.  Incorporating rolling resistance and contact anisotropy in micromechanical models of granular media , 2002 .

[9]  Ching S. Chang,et al.  Interparticle forces and displacements in granular materials , 1997 .

[10]  H. Sakaguchi,et al.  Plugging of the Flow of Granular Materials during the Discharge from a Silo , 1993 .

[11]  C. Nouguier-Lehon Effect of the grain elongation on the behaviour of granular materials in biaxial compression , 2010 .

[12]  S. J. Antony,et al.  Micromechanical modelling of oval particulates subjected to bi-axial compression , 2004 .

[13]  H J Herrmann,et al.  Calculation of the incremental stress-strain relation of a polygonal packing. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Fernando Alonso-Marroquín,et al.  An efficient algorithm for granular dynamics simulations with complex-shaped objects , 2008 .

[15]  Christopher M. Wensrich,et al.  Rolling friction as a technique for modelling particle shape in DEM , 2012 .

[16]  M. Oda,et al.  Rolling Resistance at Contacts in Simulation of Shear Band Development by DEM , 1998 .

[17]  B. Sukumaran,et al.  Quantitative characterisation of the geometry of discrete particles , 2001 .

[18]  Malcolm D. Bolton,et al.  Micro- and macro-mechanical behaviour of DEM crushable materials , 2008 .

[19]  Hans J. Herrmann,et al.  Discrete element simulations of dense packings and heaps made of spherical and non-spherical particles , 2000 .

[20]  M. Oda,et al.  Micro-Deformation Mechanism of Shear Banding Process Based on Modified Distinct Element Method , 1999 .

[21]  Soheil Mohammadi,et al.  Micromechanics of breakage in sharp-edge particles using combined DEM and FEM , 2008 .

[22]  A. A. Mirghasemi,et al.  Particle shape consideration in numerical simulation of assemblies of irregularly shaped particles , 2011 .

[23]  Eric Vincens,et al.  Influence of particle shape and angularity on the behaviour of granular materials: a numerical analysis , 2003 .

[24]  I Vardoulakis,et al.  Role of anisotropy in the elastoplastic response of a polygonal packing. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Herrmann,et al.  Granular packings and fault zones , 2000, Physical review letters.

[26]  A. Mirghasemi,et al.  Numerical and experimental direct shear tests for coarse-grained soils , 2009 .

[27]  Fernando Alonso-Marroquin,et al.  Spheropolygons: A new method to simulate conservative and dissipative interactions between 2D complex-shaped rigid bodies , 2008 .

[28]  J. Timonen,et al.  Spontaneous formation of densely packed shear bands of rotating fragments , 2012, The European physical journal. E, Soft matter.

[29]  Farhang Radjaï,et al.  Force chains and contact network topology in sheared packings of elongated particles. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Mingjing Jiang,et al.  DEM-Aided Discovery of the Relationship between Energy Dissipation and Shear Band Formation Considering the Effects of Particle Rolling Resistance , 2013 .

[31]  Marte Gutierrez,et al.  Discrete-continuum analysis of shear banding in the direct shear test , 2007 .

[32]  K. Pye,et al.  Particle shape: a review and new methods of characterization and classification , 2007 .

[33]  Jianfeng Wang,et al.  DEM analysis of energy dissipation in crushable soils , 2012 .

[34]  Kazuyoshi Iwashita,et al.  A simulation study of microstructure evolution inside the shear band in biaxial compression test , 2011 .

[35]  K. Satō,et al.  Particle-like and fluid-like settling of a stratified suspension , 2012, The European physical journal. E, Soft matter.

[36]  K. Iwashita,et al.  Influence of inherent anisotropy on mechanical behavior of granular materials based on DEM simulations , 2010 .

[37]  Beena Sukumaran,et al.  Evaluating the Influence of Particle Shape On Liquefaction Behavior Using Discrete Element Modeling , 2003 .

[38]  P. Guo Critical length of force chains and shear band thickness in dense granular materials , 2012 .

[39]  E D'Appolonia,et al.  Effect of Particle Shape on the Engineering Properties of Granular Soils , 1973 .

[40]  Marte Gutierrez,et al.  Discrete element simulations of direct shear specimen scale effects , 2010 .

[41]  B. Indraratna,et al.  Effect of confining pressure on ballast degradation and deformation under cyclic triaxial loading , 2007 .

[42]  Marte Gutierrez,et al.  Numerical studies of shear banding in interface shear tests using a new strain calculation method , 2007 .

[43]  T. G. Sitharam,et al.  Micromechanical modeling of granular materials: effect of confining pressure on mechanical behavior , 1999 .

[44]  M. J. Sackin,et al.  I. NUMERICAL ANALYSIS , 1975 .

[45]  Jianfeng Wang,et al.  Unified soil behavior of interface shear test and direct shear test under the influence of lower moving boundaries , 2011 .

[46]  Jian Fei Chen,et al.  Assessment of rolling resistance models in discrete element simulations , 2011 .

[47]  Xubin Su,et al.  Shear strength, interparticle locking, and dilatancy of granular materials , 2007 .

[48]  Yu-Hsing Wang,et al.  Characterization of Cemented Sand by Experimental and Numerical Investigations , 2008 .

[49]  松岡 元,et al.  MICROSCOPIC INTERPRETATION ON A STRESS-DILATANCY RELATIONSHIP OF GRANULAR MATERIALS , 2003 .

[50]  F. Radjai,et al.  Identification of rolling resistance as a shape parameter in sheared granular media. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[51]  J. D. Muñoz,et al.  Minkowski-Voronoi diagrams as a method to generate random packings of spheropolygons for the simulation of soils. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[52]  M. Hossein Abbaspour-Fard,et al.  Shape representation of axisymmetrical, non-spherical particles in discrete element simulation using multi-element model particles ulation using multi-element model particles , 2000 .

[53]  Jianfeng Wang,et al.  On the role of particle breakage in the shear failure behavior of granular soils by DEM , 2013 .