Level set splitting in DEM for modeling breakage mechanics

John M. Harmon1, Daniel Arthur1, José E. Andrade1
1California Institute of Technology, United States of America

Tài liệu tham khảo

Minh, 2013, A DEM investigation of the effect of particle-size distribution on one-dimensional compression, Géotechnique, 63, 44, 10.1680/geot.10.P.058 Holtz, 1981 Billi, 2005, Grain size distribution and thickness of breccia and gouge zones from thin (<1m) strike-slip fault cores in limestone, J. Struct. Geol., 27, 1823, 10.1016/j.jsg.2005.05.013 Einav, 2007, Breakage mechanics - part 1: Theory, J. Mech. Phys. Solids, 55, 1274, 10.1016/j.jmps.2006.11.003 Evans, 1993 Sapozhnikov, 2007, A mechanistic analysis of stone fracture in lithotripsy, J. Acoust. Soc. Am., 121, 1190, 10.1121/1.2404894 Cundall, 1979, A discrete numerical model for granular assemblies, Géotechnique, 29, 47, 10.1680/geot.1979.29.1.47 Cil, 2014, 3D Evolution of sand fracture under 1d compression, Géotechnique, 64, 351, 10.1680/geot.13.P.119 Cheng, 2003, Discrete element simulation of crushable soil, Géotechnique, 53, 633, 10.1680/geot.2003.53.7.633 Wang, 2016, Discrete element modeling of shielding and size effects during single particle crushing, Comput. Geotech., 78, 227, 10.1016/j.compgeo.2016.04.003 Wang, 2013, On the role of particle breakage in the shear failure behavior of granular soils by DEM, Int. J. Numer. Anal. Methods Geomech., 37, 832, 10.1002/nag.1124 Potyondy, 2004, A bonded-particle model for rock, Int. J. Rock Mech. Min. Sci., 41, 1329, 10.1016/j.ijrmms.2004.09.011 Ben-Nun, 2010, The role of self-organization during confined comminution of granular materials, Philos. Trans. R. Soc. Lond. A: Math. Phys. Eng. Sci., 368, 231, 10.1098/rsta.2009.0205 McDowell, 2013, On the micro mechanics of one-dimensional normal compression, Géotechnique, 63, 895, 10.1680/geot.12.P.041 Kawamoto, 2018, A 3-d mechanics-based particle shape index for granular materials, Mech. Res. Commun., 92, 67, 10.1016/j.mechrescom.2018.07.002 Imseeh, 2018, 3D Finite element modelling of force transmission and particle fracture of sand, Comput. Geotech., 94, 184, 10.1016/j.compgeo.2017.09.008 Iliev, 2019, Evolution of fragment size distributions from the crushing of granular materials, Phys. Rev. E, 99, 10.1103/PhysRevE.99.012904 Potapov, 1996, A three-dimensional simulation of brittle solid fracture, Internat. J. Modern Phys. C, 7, 717, 10.1142/S0129183196000594 Herbst, 2004, Making a discrete grain breakage model practical for comminution equipment performance simulation, Powder Technol., 143–144, 144, 10.1016/j.powtec.2004.04.036 Jiménez-Herrera, 2018, Comparison of breakage models in DEM in simulating impact on particle beds, Adv. Powder Technol., 29, 692, 10.1016/j.apt.2017.12.006 Zhu, 2019, Modeling continuous grain crushing in granular media: A hybrid peridynamics and physics engine approach, Comput. Methods Appl. Mech. Engrg., 348, 334, 10.1016/j.cma.2019.01.017 Mollon, 2014, 3D Generation of realistic granular samples based on random fields theory and fourier shape descriptors, Comput. Methods Appl. Mech. Engrg., 279, 46, 10.1016/j.cma.2014.06.022 Kawamoto, 2016, Level set discrete element method for three-dimensional computations with triaxial case study, J. Mech. Phys. Solids, 91, 1, 10.1016/j.jmps.2016.02.021 Vlahinić, 2014, Towards a more accurate characterization of granular media: extracting quantitative descriptors from tomographic images, Granul. Matter, 16, 9, 10.1007/s10035-013-0460-6 Kawamoto, 2018, All you need is shape: Predicting shear banding in sand with LS-DEM, J. Mech. Phys. Solids, 111, 375, 10.1016/j.jmps.2017.10.003 Johnson, 1987 Jean, 1999, The non-smooth contact dynamics method, Comput. Methods Appl. Mech. Engrg., 177, 235, 10.1016/S0045-7825(98)00383-1 Walton, 1993, Simulation of rotary-drum and repose tests for frictional spheres and rigid sphere clusters Lim, 2014, Granular element method for three-dimensional discrete element calculations, Int. J. Numer. Anal. Methods Geomech., 38, 167, 10.1002/nag.2203 Weibull, 1939 McDowell, 2002, On the yielding and plastic compression of sand, Soils Found., 42, 139, 10.3208/sandf.42.139 F.L. Nakata, 1999, A probabilistic approach to sand particle crushing in the triaxial test, Geotechnique, 49, 567, 10.1680/geot.1999.49.5.567 Jiang, 2019, A boundary-spheropolygon element method for modelling sub-particle stress and particle breakage, Comput. Geotech., 113, 103087, 10.1016/j.compgeo.2019.05.002 Sussman, 1994, A level set approach for computing solutions to incompressible two-phase flow, J. Comput. Phys., 114, 146, 10.1006/jcph.1994.1155 Cil, 2012, 3D Assessment of fracture of sand particles using discrete element method, Géotech. Lett., 2, 161, 10.1680/geolett.12.00024 Hurley, 2018, In situ grain fracture mechanics during uniaxial compaction of granular solids, J. Mech. Phys. Solids, 112, 273, 10.1016/j.jmps.2017.12.007 Weerasekara, 2013, The contribution of DEM to the science of comminution, Powder Technol., 248, 3, 10.1016/j.powtec.2013.05.032 Johansson, 2017, A fundamental model of an industrial-scale jaw crusher, Miner. Eng., 105, 69, 10.1016/j.mineng.2017.01.012 Atkinson, 2007 Nakata, 2001, Microscopic particle crushing of sand subjected to high pressure one-dimensional compression, Soils Found., 41, 69, 10.3208/sandf.41.69 Wang, 2014, A new suggestion for determining 2d porosities in DEM studies, Geomech. Eng., 7, 665, 10.12989/gae.2014.7.6.665 Coco, 2013, Finite-difference ghost-point multigrid methods on Cartesian grids for elliptic problems in arbitrary domains, J. Comput. Phys., 241, 464, 10.1016/j.jcp.2012.11.047 Wadell, 1932, Volume, shape, and roundness of rock particles, J. Geol., 40, 443, 10.1086/623964 Afshar, 2017, Changes to grain properties due to breakage in a sand assembly using synchrotron tomography, EPJ Web Conf., 140, 07004, 10.1051/epjconf/201714007004 Altuhafi, 2011, Changes to particle characteristics associated with the compression of sands, Géotechnique, 61, 459, 10.1680/geot.9.P.114 Sun, 2014, Three-dimensional characterisation of particle size and shape for ballast, Géotech. Lett., 4, 197, 10.1680/geolett.14.00036 Zhao, 2015, An investigation of single sand particle fracture using x-ray micro-tomography, Géotechnique, 65, 625, 10.1680/geot.4.P.157 Takei, 2001, Time-dependent behavior of crushable materials in one-dimensional compression tests, Soils Found., 41, 97, 10.3208/sandf.41.97 Karatza, 2019, Effect of particle morphology and contacts on particle breakage in a granular assembly studied using x-ray tomography, Granul. Matter, 21, 44, 10.1007/s10035-019-0898-2