Simulation of Complex-Shaped Particle Breakage Using the Discrete Element Method
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Simulation of Complex-Shaped Particle Breakage Using the Discrete Element Method

Authors: Felix Platzer, Eric Fimbinger

Abstract:

In Discrete Element Method (DEM) simulations, the breakage behavior of particles can be simulated based on different principles. In the case of large, complex-shaped particles that show various breakage patterns depending on the scenario leading to the failure and often only break locally instead of fracturing completely, some of these principles do not lead to realistic results. The reason for this is that in said cases, the methods in question, such as the Particle Replacement Method (PRM) or Voronoi Fracture, replace the initial particle (that is intended to break) into several sub-particles when certain breakage criteria are reached, such as exceeding the fracture energy. That is why those methods are commonly used for the simulation of materials that fracture completely instead of breaking locally. That being the case, when simulating local failure, it is advisable to pre-build the initial particle from sub-particles that are bonded together. The dimensions of these sub-particles  consequently define the minimum size of the fracture results. This structure of bonded sub-particles enables the initial particle to break at the location of the highest local loads – due to the failure of the bonds in those areas – with several sub-particle clusters being the result of the fracture, which can again also break locally. In this project, different methods for the generation and calibration of complex-shaped particle conglomerates using bonded particle modeling (BPM) to enable the ability to depict more realistic fracture behavior were evaluated based on the example of filter cake. The method that proved suitable for this purpose and which furthermore  allows efficient and realistic simulation of breakage behavior of complex-shaped particles applicable to industrial-sized simulations is presented in this paper.

Keywords: Bonded particle model (BPM), DEM, filter cake, particle breakage, particle fracture.

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References:


[1] Michael Denzel and Michael Prenner. “Minimierung des Sinterzerfalls mittels DEM”. In: BHM Berg- und H¨uttenm¨annische Monatshefte 166.2 (2021), pp. 76–81. ISSN: 0005-8912. DOI: 10.1007/s00501- 021-01081-7.
[2] Eugenio O˜nate et al. “A local constitutive model for the discrete element method. Application to geomaterials and concrete”. In: Computational Particle Mechanics 2.2 (2015), pp. 139–160. ISSN: 2196-4378. DOI: 10.1007/s40571-015-0044-9.
[3] Peter Domone and Marios Soutsos, eds. Construction materials: Their nature and behaviour. 5. ed. Boca Raton: CRC Press, Taylor & Francis Group, 2018. ISBN: 1315164590.
[4] Zong-Xian Zhang. Rock Mechanics Related to Mining Engineering. Helsinki, Finland, October 11–12, 2017.
[5] Peixian Li, Lili Yan, and Dehua Yao. “Study of Tunnel Damage Caused by Underground Mining Deformation: Calculation, Analysis, and Reinforcement”. In: Advances in Civil Engineering 2019 (2019), pp. 1–18. ISSN: 1687-8086. DOI: 10.1155/2019/4865161.
[6] Johannes Quist and Carl Magnus Evertsson. “Cone crusher modelling and simulation using DEM”. In: Minerals Engineering 85 (2016), pp. 92–105. ISSN: 08926875. DOI: 10.1016/j.mineng.2015.11.004.
[7] R. A. Bearman, C. A. Briggs, and T. Kojovic. “The applications of rock mechanics parameters to the prediction of comminution behaviour”. In: Minerals Engineering 10.3 (1997), pp. 255–264. ISSN: 08926875. DOI: 10.1016/S0892-6875(97)00002-2.
[8] Martin Obermayr et al. “A bonded-particle model for cemented sand”. In: Computers and Geotechnics 49 (2013), pp. 299–313. ISSN: 0266352X. DOI: 10.1016/j.compgeo.2012.09.001.
[9] Petre Miu. Combine Harvesters: Theory, modeling, and design. Boca Raton: CRC Press, 2015. ISBN: 9780429152931. DOI: 10 . 1201 / b18852. URL: https://www.taylorfrancis.com/books/9781482282375.
[10] Qirui Wang, Hanping Mao, and Qinglin Li. “Modelling and simulation of the grain threshing process based on the discrete element method”. In: Computers and Electronics in Agriculture 178 (2020), p. 105790. ISSN: 01681699. DOI: 10.1016/j.compag.2020.105790.
[11] Todd Wisdom, Mike Jacobs, and James Chaponnel. “GeoWasteTM – continuous comingled tailings for large-scale mines”. In: Proceedings of the 21st International Seminar on Paste and Thickened Tailings. Proceedings of the International Seminar on Paste and Thickened Tailings. Australian Centre for Geomechanics, Perth, 2018, pp. 465–472. DOI: 10.36487/ACG rep/1805 38 Wisdom.
[12] P. A. Cundall and O. D. L. Strack. “Discussion: A discrete numerical model for granular assemblies”. In: G´eotechnique 30.3 (1980), pp. 331–336. ISSN: 0016-8505. DOI: 10.1680/geot.1980.30.3.331.
[13] John A. Hudson, ed. Comprehensive rock engineering: Principles, practice & projects. 1. ed. Oxford
[u.a.]: Pergamon Press, 1993. ISBN: 9780080406152.
[14] Nicholas J. Brown, Jian-Fei Chen, and Jin Y. Ooi. “A bond model for DEM simulation of cementitious materials and deformable structures”. In: Granular Matter 16.3 (2014), pp. 299–311. ISSN: 1434-5021. DOI: 10.1007/s10035-014-0494-4.
[15] Peter Wriggers and B. Avci. “Discrete Element Methods: Basics and Applications in Engineering”. In: Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids. Ed. by Riva, Laura de Lorenzis, and Alexander D¨uster. Vol. 599. CISM International Centre for Mechanical Sciences. Cham: Springer International Publishing, 2020, pp. 1–30. ISBN: 978-3-030-37517-1. DOI: 10.1007/978-3-030-37518-8 1.
[16] ThreeParticle/CAE. URL: http://becker3d.com/.
[17] D. O. Potyondy and P. A. Cundall. “A bonded-particle model for rock”. In: International Journal of Rock Mechanics and Mining Sciences 41.8 (2004), pp. 1329–1364. ISSN: 13651609. DOI: 10.1016/ j.ijrmms.2004.09.011.
[18] Damien Andr´e et al. “Discrete element method to simulate continuous material by using the cohesive beam model”. In: Computer Methods in Applied Mechanics and Engineering 213-216 (2012), pp. 113–125. ISSN: 00457825. DOI: 10.1016/j.cma.2011.12.002.
[19] Y. Ma et al. “Packing Irregular Objects in 3D Space via Hybrid Optimization”. In: Computer Graphics Forum 37.5 (2018), pp. 49–59. ISSN: 01677055. DOI: 10.1111/cgf.13490.
[20] Elias Lozano et al. “An efficient algorithm to generate random sphere packs in arbitrary domains”. In: Computers & Mathematics with Applications 71.8 (2016), pp. 1586–1601. ISSN: 08981221. DOI: 10. 1016/j.camwa.2016.02.032.
[21] H. A. Carmona et al. “Fragmentation processes in impact of spheres”. In: Physical Review E 77.5 Pt 1 (2008), p. 051302. ISSN: 1539-3755. DOI: 10.1103/PhysRevE.77.051302.
[22] C. J. Coetzee. “Review: Calibration of the discrete element method”. In: Powder Technology 310 (2017), pp. 104–142. ISSN: 00325910. DOI: 10.1016/j.powtec.2017.01.015.
[23] Jinjin Ge and Ying Xu. “A Method for Making Transparent Hard Rock-Like Material and Its Application”. In: Advances in Materials Science and Engineering 2019 (2019), pp. 1–14. ISSN: 1687-8434. DOI: 10.1155/2019/1274171.
[24] A. Coviello, R. Lagioia, and R. Nova. “On the Measurement of the Tensile Strength of Soft Rocks”. In: Rock Mechanics and Rock Engineering 38.4 (2005), pp. 251–273. ISSN: 0723-2632. DOI: 10. 1007/s00603-005-0054-7.
[25] Rayleigh. “OnWaves Propagated along the Plane Surface of an Elastic Solid”. In: Proceedings of the London Mathematical Society s1-17.1 (1885), pp. 4–11. ISSN: 00246115. DOI: 10.1112/plms/s1-17.1.4.
[26] Catherine O’Sullivan and Jonathan D. Bray. “Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme”. In: Engineering Computations 21.2/3/4 (2004), pp. 278–303. ISSN: 0264-4401. DOI: 10 . 1108 / 02644400410519794.
[27] Stef Lommen, Dingena Schott, and Gabriel Lodewijks. “DEM speedup: Stiffness effects on behavior of bulk material”. In: Particuology 12 (2014), pp. 107–112. ISSN: 16742001. DOI: 10.1016/ j.partic.2013.03.006.
[28] Xiaobin Ding et al. “Effect of Model Scale and Particle Size Distribution on PFC3D Simulation Results”. In: Rock Mechanics and Rock Engineering 47.6 (2014), pp. 2139–2156. ISSN: 0723-2632. DOI: 10.1007/s00603-013-0533-1.