Three-dimensional particle shape acquisition and use of shape library for DEM and FEM/DEM simulation

Numerical simulation that will capture the complex behaviour of rock fragment systems, e.g., in mining and civil engineering, requires both the computational mechanics capability to model particle interactions between complex shapes and an associated means to represent the kind of arbitrary or angular geometry relevant to problems involving rock fragments. This paper is concerned less with the modelling and more with the representation. Here, we focus on representation geared to ‘soft contact’ modelling using either combined finite-discrete element (FEM/DEM) methods, or non-spherical DEM methods such as multi-sphere approximations of irregular geometry. 3D laser ranging (LADAR) is used to capture astonishingly realistic rock aggregate geometries. We report on the work flow procedures to generate computationally meshed virtual particles for modelling. The design of a shape library and a suggested procedure for selecting virtual particles for input to FEM/DEM or DEM models is discussed together with the use of inertia moments for shape descriptors. Use of the shape library for shape descriptor analysis is also illustrated. DEM simulations of packing using irregular particles from the shape library are presented.

[1]  Antonio Munjiza,et al.  Penalty function method for combined finite–discrete element systems comprising large number of separate bodies , 2000 .

[2]  John-Paul Latham,et al.  Abrasion testing and armourstone degradation , 1988 .

[3]  Erol Tutumluer,et al.  Evaluation of image analysis techniques for quantifying aggregate shape characteristics , 2007 .

[4]  Paul W. Cleary,et al.  DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge , 2002 .

[5]  John-Paul Latham,et al.  Shape selection menu for grand scale discontinua systems , 2004 .

[6]  G. McDowell,et al.  Discrete element modelling of railway ballast , 2005 .

[7]  Erol Tutumluer,et al.  Quantification of Coarse Aggregate Angularity Based on Image Analysis , 2002 .

[8]  Jin-Young Park,et al.  Representation of real particles for DEM simulation using X-ray tomography , 2007 .

[9]  F Thalmann,et al.  What is in a pebble shape? , 2006, Physical review letters.

[10]  D. Owen,et al.  Discrete fracture in quasi-brittle materials under compressive and tensile stress states , 2004 .

[11]  J. Herbst,et al.  Modeling of diamond liberation and damage for Debswana kimberlitic ores , 2008 .

[12]  Arttu Polojärvi,et al.  3D Combined FEM-DEM Simulation of Ridge Keel Punch-through Tests , 2007 .

[13]  Alexander V. Potapov,et al.  Making a Discrete Grain Breakage model practical for comminution equipment performance simulation , 2004 .

[14]  John G. Hagedorn,et al.  Three-dimensional shape analysis of coarse aggregates : New techniques for and preliminary results on several different coarse aggregates and reference rocks , 2006 .

[15]  Mohammad Hossein Abbaspour-Fard,et al.  Modeling nonspherical particles using multisphere discrete elements , 2001 .

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

[17]  David W. Fowler,et al.  Some properties of irregular 3-D particles , 2006 .

[18]  Christopher C. Pain,et al.  COUPLED FEM-DEM AND CFD FOR COASTAL STRUCTURES: APPLICATION TO ARMOUR STABILITY AND BREAKAGE , 2009 .

[19]  John-Paul Latham,et al.  3D dynamics of discrete element systems comprising irregular discrete elements—integration solution for finite rotations in 3D , 2003 .

[20]  A. Munjiza,et al.  The modelling of particle systems with real shapes , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[21]  E. Garboczi Three-dimensional mathematical analysis of particle shape using X-ray tomography and spherical harmonics: Application to aggregates used in concrete , 2002 .

[22]  F. Lanaro,et al.  3D characterization of coarse aggregates , 2002 .

[23]  A. Munjiza The Combined Finite-Discrete Element Method , 2004 .

[24]  Michael A. Taylor,et al.  Quantitative measures for shape and size of particles , 2002 .