Micromechanical analysis of cohesive granular materials using the discrete element method with an adhesive elasto-plastic contact model

An adhesive elasto-plastic contact model for the discrete element method with three dimensional non-spherical particles is proposed and investigated to achieve quantitative prediction of cohesive powder flowability. Simulations have been performed for uniaxial consolidation followed by unconfined compression to failure using this model. The model has been shown to be capable of predicting the experimental flow function (unconfined compressive strength vs. the prior consolidation stress) for a limestone powder which has been selected as a reference solid in the Europe wide PARDEM research network. Contact plasticity in the model is shown to affect the flowability significantly and is thus essential for producing satisfactory computations of the behaviour of a cohesive granular material. The model predicts a linear relationship between a normalized unconfined compressive strength and the product of coordination number and solid fraction. This linear relationship is in line with the Rumpf model for the tensile strength of particulate agglomerate. Even when the contact adhesion is forced to remain constant, the increasing unconfined strength arising from stress consolidation is still predicted, which has its origin in the contact plasticity leading to microstructural evolution of the coordination number. The filled porosity is predicted to increase as the contact adhesion increases. Under confined compression, the porosity reduces more gradually for the load-dependent adhesion compared to constant adhesion. It was found that the contribution of adhesive force to the limiting friction has a significant effect on the bulk unconfined strength. The results provide new insights and propose a micromechanical based measure for characterising the strength and flowability of cohesive granular materials.

[1]  Jürgen Tomas,et al.  Particle Adhesion Fundamentals and Bulk Powder Consolidation , 2000 .

[2]  Derek Geldart,et al.  Inter-particle forces in cohesive powders studied by AFM: effects of relative humidity, particle size and wall adhesion , 2003 .

[3]  D. Wood Soil Behaviour and Critical State Soil Mechanics , 1991 .

[4]  Germany,et al.  A discrete model for long time sintering , 2002, cond-mat/0211280.

[5]  A. H. Birks,et al.  The direct measurement of the failure function of a cohesive powder , 1971 .

[6]  Scott M. Johnson,et al.  Simulating the Effects of Interparticle Cohesion in Micron‐Scale Powders , 2009 .

[7]  R. Wiesendanger,et al.  QUANTITATIVE ANALYSIS OF THE FRICTIONAL PROPERTIES OF SOLID MATERIALS AT LOW LOADS. II. MICA AND GERMANIUM SULFIDE , 1997 .

[8]  Stefan Luding,et al.  Anisotropic Material Behavior in Dense, Cohesive‐Frictional Powders , 2003 .

[9]  Jennifer S. Curtis,et al.  Force model considerations for glued-sphere discrete element method simulations , 2009 .

[10]  Hertz On the Contact of Elastic Solids , 1882 .

[11]  J. Roux,et al.  Computer simulation of model cohesive powders: influence of assembling procedure and contact laws on low consolidation states. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  R. L. Braun,et al.  Viscosity, granular‐temperature, and stress calculations for shearing assemblies of inelastic, frictional disks , 1986 .

[13]  Fernando Alonso-Marroquín,et al.  The critical-state yield stress (termination locus) of adhesive powders from a single numerical experiment , 2011 .

[14]  Harald Kruggel-Emden,et al.  A study on the validity of the multi-sphere Discrete Element Method , 2008 .

[15]  Jin Y. Ooi,et al.  Numerical investigation of particle shape and particle friction on limiting bulk friction in direct shear tests and comparison with experiments , 2011 .

[16]  R. Jones,et al.  From Single Particle AFM Studies of Adhesion and Friction to Bulk Flow: Forging the Links , 2003 .

[17]  D. Ratkowsky,et al.  Effect of particle shape on hindered settling in creeping flow , 1979 .

[18]  L. Vu-Quoc,et al.  An elastoplastic contact force–displacement model in the normal direction: displacement–driven version , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

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

[20]  Ryuichi Aoki,et al.  Effect of particle shape on the flow and packing properties of non-cohesive granular materials , 1971 .

[22]  Scott M. Johnson,et al.  DEM Simulations of the Effects of Particle Shape, Interparticle Cohesion, and Gravity on Rotating Drum Flows of Lunar Regolith , 2010 .

[23]  Jpk Seville,et al.  MECHANICAL-PROPERTIES OF COHESIVE PARTICULATE SOLIDS , 1991 .

[24]  S. Luding Cohesive, frictional powders: contact models for tension , 2008 .

[25]  G. A. D. Briggs,et al.  The effect of tangential force on the contact of elastic solids in adhesion , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[26]  Colin Thornton,et al.  Impact of elastic spheres with and without adhesion , 1991 .

[27]  N. Gane,et al.  Sliding friction under a negative load , 1972 .

[28]  Stefan Luding,et al.  Ultrafine Cohesive Powders: From Interparticle Contacts to Continuum Behaviour , 2007 .

[29]  Carlos Drummond,et al.  Amontons' law at the molecular level , 1998 .

[30]  G. Midi,et al.  On dense granular flows , 2003, The European physical journal. E, Soft matter.

[31]  Runyu Yang,et al.  Computer simulation of the packing of fine particles , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[32]  Colin Thornton,et al.  Numerical studies of uniaxial powder compaction process by 3D DEM , 2004 .

[33]  Ali Hassanpour,et al.  Characterisation of Flowability of Loosely Compacted Cohesive Powders by Indentation , 2007 .

[34]  Tom Dyakowski,et al.  Flow of sphero-disc particles in rectangular hoppers - A DEM and experimental comparison in 3D , 2004 .

[35]  S. Thakur,et al.  An experimental and numerical study of packing, compression, and caking behaviour of detergent powders , 2014 .

[36]  Derek Geldart,et al.  Frictional forces between cohesive powder particles studied by AFM. , 2004, Ultramicroscopy.

[37]  Farhang Radjai,et al.  Micromechanics of granular materials , 2009 .

[38]  K. K. Rao Statics and kinematics of granular materials , 1995 .

[39]  M. Markus,et al.  Oscillations and turbulence induced by an activating agent in an active medium. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  Jin Y. Ooi,et al.  Evaluation of Edinburgh Powder Tester (EPT) , 2007 .

[41]  E. Hiestand Principles, tenets and notions of tablet bonding and measurements of strength , 1997 .

[42]  John P. Morrissey,et al.  Discrete element modelling of iron ore pellets to include the effects of moisture and fines , 2013 .

[43]  C. Thornton Coefficient of Restitution for Collinear Collisions of Elastic-Perfectly Plastic Spheres , 1997 .

[44]  Udo D. Schwarz,et al.  Quantitative analysis of the frictional properties of solid materials at low loads. I. Carbon compounds , 1997 .

[45]  Gisle G. Enstad,et al.  Uniaxial Testing and the Performance of a Pallet Press , 2003 .

[46]  C. Thornton,et al.  A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres , 1998 .

[47]  J. Beddow,et al.  Some effects of particle shape and size upon blinding during sieving , 1968 .

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

[49]  L. Rayleigh On Waves Propagated along the Plane Surface of an Elastic Solid , 1885 .

[50]  Mojtaba Ghadiri,et al.  Analysis of flowability of cohesive powders using Distinct Element Method , 2005 .

[51]  Marina Ruths,et al.  Boundary Friction of Aromatic Silane Self-Assembled Monolayers Measured with the Surface Forces Apparatus and Friction Force Microscopy , 2003 .

[52]  Jürgen Tomas,et al.  Assessment of Mechanical Properties of Cohesive Particulate Solids. Part 1: Particle Contact Constitutive Model , 2001 .

[53]  Jin Y. Ooi,et al.  Confined Compression and Rod Penetration of a Dense Granular Medium: Discrete Element Modelling and Validation , 2006 .

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

[55]  Paul W. Cleary,et al.  DEM prediction of industrial and geophysical particle flows , 2010 .

[56]  J. Ooi,et al.  Experiments and simulations of direct shear tests: porosity, contact friction and bulk friction , 2008 .

[57]  K. Kendall,et al.  Surface energy and the contact of elastic solids , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[58]  Thorsten Pöschel,et al.  Collision dynamics of granular particles with adhesion. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[59]  D. M. Walker,et al.  An annular shear cell for granular materials , 1968 .

[60]  Hans-Georg Matuttis,et al.  PARTICLE SIMULATION OF COHESIVE GRANULAR MATERIALS , 2001 .

[61]  A. Schofield,et al.  Critical State Soil Mechanics , 1968 .

[62]  Yun-Chi Chung,et al.  Discrete element modelling and experimental validation of a granular solid subject to different loading conditions , 2006 .

[63]  Stefan Ecke,et al.  Friction between Individual Microcontacts , 2001 .

[64]  J. Valverde,et al.  Correlation between bulk stresses and interparticle contact forces in fine powders. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[65]  Diego Barletta,et al.  Comparison between a Uniaxial Compaction Tester and a Shear Tester for the Characterization of Powder Flowability , 2008 .

[66]  B. V. Derjaguin,et al.  Effect of contact deformations on the adhesion of particles , 1975 .

[67]  Jörg Schwedes,et al.  Adhesion of carbonyl iron powder particles studied by atomic force microscopy , 2005 .

[68]  Brian J. Briscoe,et al.  A study of the friction and adhesion of polyethylene-terephthalate monofilaments , 1979 .

[69]  Jürgen Tomas,et al.  Adhesion of ultrafine particles—A micromechanical approach , 2007 .

[70]  Jörg Schwedes,et al.  Development of an Uniaxial Caking Tester , 2006 .

[71]  O. Molerus,et al.  Theory of yield of cohesive powders , 1975 .