High compression of granular assemblies of brittle hollow tubular particles: investigation through a 3D discrete element model
Tóm tắt
This paper is devoted to the micro-mechanical origins of the high compressibility of brittle tubular particle assemblies. The material is extremely porous due to the presence of a large hole within the tube-shaped particle. The release of the inner void, protected by a fragile shell, gives the material a very strong ability to compress. The compressive response is investigated by means of the discrete element method, DEM, using crushable elements. To address the complexity of the model, a step-by-step breakdown is developed. The paper comprises the comparison of the numerical results with both results obtained by the authors and existing experiments. With the insights provided by the DEM, we have sought to better understand the phenomena that originate at the grain scale and that govern macroscopic behaviour. Grain breakage was proven to control the compressive behaviour, and thus, the importance of internal pores dominates the inter-particle voids. Then, a novel concept of compressibility analysis has been proposed using the separation of the double porosity and the quantification of the pore collapse through primary grain breakage. Finally, a general, geometrical development of a semi-analytical model has been proposed aiming the prediction of the evolution of double porosity vs axial strain.
Tài liệu tham khảo
Andra & CMC, Patent, Publication No. FR3021346
Andra (2016) Rapport d’activité R&D, Report, pp. 10-11
Vu, Ngoc (2017) Mechanical behavior of different concrete lining supports in the Callovo Oxfordian claystone. Conference: 7th International conference on Clays in Natural and Engineered Barriers for Radioactive Waste Confinement, Davos, Switzerland, 24-27 September. https://doi.org/10.13140/RG.2.2.33312.84480
Zghondi J, Armand G, Bosgiraud JM, Simon J (2018) Qualification, construction and analysis of a precasted compressible Arch Segments drift test in the Andra Meuse/Haute-Marne Underground Research Laboratory. URL), World Tunnel Congress, Dubai
Taherzadeh R, Boidy E, Ouffroukh H (2019) Concrete lining covered with an outer compressible layer applied to tunnel in viscoplastic rocks, In: Peila, D., Viggiani, G. & Celestino, T.(eds), Tunnels and Underground Cities. Engineering and Innovation Meet Archaeology, Architecture and Art: Proceedings of the WTC 2019, Taylor & Francis Group London
Fernandez E, Sanz A, Ares J, Swift A, Haig BJ (2019) Delivering Value Through the Innovative Contractor Engagement (ICE) Model at London Underground Bank Station Capacity Upgrade Project, In: Hebert, C. D. & Hoffman, S. W. (eds), Rapid Excavation and Tunneling Conference: 2019 Proceedings , SEM, pp. 1010-1027
Chevalier B, Combe G, Villard P (2012) Experimental and discrete element modeling studies of the trapdoor problem: influence of the macro-mechanical frictional parameters. Acta Geotechnica 7(1):15–39
Guida G, Casini F, Viggiani GMB, Andò E, Viggiani G (2018) Breakage mechanisms of highly porous particles in 1D compression revealed by X-ray tomography. Géotechnique Letters Engineering 8:155–160
Zhu F, Zhao J (2019) Modeling continuous grain crushing in granular media: a hybrid peridynamics and physics engine approach. Computer Methods in Applied Mechanics and Engineering 348:334–355
Xiao M, Liu C, Sun W (2021) DP-MPM: Domain partitioning material point method for evolving multi-body thermal-mechanical contacts during dynamic fracture and fragmentation. Computer Methods in Applied Mechanics and Engineering 385:114063
Cundall P, Strack O (1979) A discrete numerical model for granular assemblies. Géotechnique 29(1):47–65
Tsoungui O, Vallet D, Charmet J-C (1999) Numerical model of crushing of grains inside two-dimensional granular materials. Powder Technology 105:190–198
Ben-Nun O, Einav I (2010) The role of self-organization during confined comminution of granular materials. Philosophical Transactions of The Royal Society A 368:231–247
de Bono JP, Mcdowell GR (2016) Investigating the effects of particle shape on normal compression and overconsolidation using DEM. Granular Matter 18:1–10
Thornton C, Yin KK, Adams MJ (1996) Numerical simulation of the impact fracture and fragmentation of agglomerates. Journal of Physics D Applied Physics 29:424–435
Bolton MD, Nakata Y, Cheng YP (2008) Micro- and macro-mechanical behaviour of DEM crushable materials. Géotechnique 58(6):471–480
Wang JF, Yan HB (2011) 3d DEM simulation of crushable granular soils under plane strain compression condition. Procedia Engineering 14:1713–1720
Ferellec J-F, McDowell GR (2008) A simple method to create complex particle shapes for DEM. Geomechanics and Geoengineering 3:211–216
Szarf, P, G Combe G, Villard P (2011) Polygons vs. clumps of discs: A numerical study of the influence of grain shape on the mechanical behaviour of granular materials, Powder Technology, 208, pp. 279?288
Azéma E, Radjaï F, Saint-Cyr B, Delenne J-Y, Sornay P (2013) Rheology of three-dimensional packings of aggregates: Microstructure and effects of nonconvexity. Physical Review E 87:052205
Delenne J-Y (2002) Milieux granulaires à comportement solide. Modélisation, analyse expérimentale de la cohésion, validation et applications, PhD thesis, Université Montpellier II, pp. 78-80
Combe G, Roux JN (2003) Discrete numerical simulation, quasistatic deformation and the origins of strain in granular materials, in: DiBenedetto, H and Doanh, T and Geoffroy, H and Sauzeat, C, 3rd International Symposium on Deformation Characteristics of Geomaterials, LYON, FRANCE, SEP, 2003, pp 1071-1078
Atman APF, Claudin P, Combe G (2009) Departure from elasticity in granular players: Investigation of a crossover overload force. Computer Physics Communications 180(4):612–615
Cundall PA (1987) Distinct element models of rock and soil structure. Analytical and Computational Methods in Engineering Rock Mechanics 4:129–163
Carneiro FLLB (1943) A new method to determine the tensile strength of concrete. In: Paper presented at the Proceedings of the 5th meeting of the Brazilian Association for Technical Rules (Associação Brasileira de Normas Técnicas - ABNT), 3d. section
Stasiak M (2019) Uniaxial compression of a highly crushable granular material – a 3D DEM study, PhD thesis, Université Grenoble Alpes, pp. 43-48 http://www.theses.fr/2019GREAI041
Combe G, Roux J-N (2003) Discrete numerical simulation, quasistatic deformation and the origins of strain in granular materials. 3ème Symposium International sur le Comportement des sols et des roches tendres. Lyon. pp. 1071-1078
Midi GDR (2004) On dense granular flows. European Physical Journal E. 14(4):341–365
Weibull W (1951) A statistical distribution function of wide applicability. Journal of applied mechanics 18:293–297
Stasiak M, Combe G, Desrues J, Richefeu V, Villard P, Armand G, Zghondi J (2017) Experimental investigation of mode I fracture for brittle tube-shaped particles, EPJ Web Conf., 140, pp 07015
Stasiak M, Combe G, Richefeu V, Villard P, Desrues J, Armand G, Zghondi J (2018) Discrete element modelling of crushable tube-shaped grains. In: Giovine P, Mariano P, Mortara G (eds) Micro to MACRO Mathematical Modelling in Soil Mechanics. Cham, Trends in Mathematics, Birkhäuser, pp 347–360
Elandalousi R, Dupla J-C, Canou J (2018) Caractérisation mécanique d’un matériau compressible du type “coques”, Andra’s internal report
Radjaï F, Dubois F (2011) Discrete-Element Modeling of Granular Materials, Wiley-Iste
Viggiani G, Andò E, Takano D, Santamarina J (2015) X-ray tomography: a valuable experimental tool for revealing processes in soils. Geotechnical Testing Journal 38(1):61–71
Oda M (1972) Initial fabrics and their relations to mechanical properties of granular material. Soils and Foundations 12(1):17–36
Calvetti F, Combe G, Lanier J (1997) Experimental micromechanical analysis of a 2D granular material: relation between structure evolution and loading path. Mechanics of Cohesive-frictional Materials 2:121–163
Ly BQH, Robinet JC (2018) Réalisation d’essais oedométriques sur des galettes fabriquées par l’entreprise STRADAL - Déliverable n7, Andra’s internal report
Bauer E (1996) Calibration of a comprehensive hypoplastic model for granular materials. Soils and foundations 36(1):12–26
Hu W, Yin ZY, Dano C, Hicher P-Y (2011) A constitutive model for granular materials considering grain breakage. Science China Technological Sciences 54(8):2188–2196