DEM-Aided Discovery of the Relationship between Energy Dissipation and Shear Band Formation Considering the Effects of Particle Rolling Resistance

AbstractThe importance of particle rolling resistance to the mechanical behavior of granular materials is well recognized and has been a topic subject to intensive discrete element method (DEM) investigation over the last two decades. However, little effort has been made to explore the energy input and dissipation behavior under the influence of varying degrees of interparticle rolling resistance, especially in relation to the development of shear band. This paper aims to eliminate this deficiency through a comprehensive two-dimensional DEM study on the relationship between the particle-scale energy dissipation and shear band development. Novel insights into the energy allocation at the small- and large-strain stages, and the development of localized bands of sliding and rolling dissipations, as well as the anisotropy of accumulated sliding and rolling dissipations within the shear band are presented for the first time.

[1]  Hai-Sui Yu,et al.  Bond rolling resistance and its effect on yielding of bonded granulates by DEM analyses , 2006 .

[2]  Yu-Hsing Wang,et al.  DEM simulation on soil creep and associated evolution of pore characteristics , 2012 .

[3]  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.

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

[5]  Itai Einav,et al.  Breakage mechanics—Part I: Theory , 2007 .

[6]  S. Pietruszczak,et al.  On the description of localized deformation , 1993 .

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

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

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

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

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

[12]  Sia Nemat-Nasser,et al.  Energy dissipation in inelastic flow of saturated cohesionless granular media , 1994 .

[13]  Itai Einav,et al.  Breakage mechanics—Part II: Modelling granular materials , 2007 .

[14]  D. Wood,et al.  On certain critical material and testing characteristics affecting shear band development in sand , 2007 .

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

[16]  Malcolm D. Bolton,et al.  On the micromechanics of crushable aggregates , 1998 .

[17]  Masanobu Oda,et al.  Experimental micromechanical evaluation of strength of granular materials: Effects of particle rolling , 1982 .

[18]  Hehua Zhu,et al.  Modeling shear behavior and strain localization in cemented sands by two-dimensional distinct element method analyses , 2011 .

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

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

[21]  V. Drnevich,et al.  SHEAR MODULUS AND DAMPING IN SOILS: DESIGN EQUATIONS AND CURVES , 1972 .

[22]  Serge Leroueil,et al.  An efficient technique for generating homogeneous specimens for DEM studies , 2003 .

[23]  P. Steinmann.  Theory and numerics of ductile micropolar elastoplastic damage , 1995 .

[24]  T. Kokusho,et al.  Energy approach to seismically induced slope failure and its application to case histories , 2011 .

[25]  F. Jin,et al.  Elastic energy and relaxation in triaxial compressions , 2011 .

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

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

[28]  Jean-Pierre Bardet,et al.  Numerical modeling of micropolar effects in idealized granular materials , 1992 .

[29]  K. T. Law,et al.  An energy approach for assessing seismic liquefaction potential , 1990 .

[30]  Antoinette Tordesillas,et al.  Micromechanics of shear bands , 2004 .

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

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

[33]  C. Thornton.  NUMERICAL SIMULATIONS OF DEVIATORIC SHEAR DEFORMATION OF GRANULAR MEDIA , 2000 .

[34]  U. El Shamy,et al.  Microscale Energy Dissipation Mechanisms in Cyclically-Loaded Granular Soils , 2012, Geotechnical and Geological Engineering.

[35]  Ching S. Chang,et al.  Constitutive relation for a particulate medium with the effect of particle rotation , 1990 .

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

[37]  N. Estrada,et al.  Shear strength and force transmission in granular media with rolling resistance. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[38]  Stefanos-Aldo Papanicolopulos,et al.  Sliding and rolling dissipation in Cosserat plasticity , 2011 .

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

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