Discrete element modelling of granular materials incorporating realistic particle shapes

Springer Science and Business Media LLC - Tập 14 - Trang 1-14 - 2023
Shiva Prashanth Kumar Kodicherla1
1Department of Civil, Mining and Process Engineering, Namibia University of Science and Technology, Windhoek, Namibia

Tóm tắt

This paper proposes an approach to generate realistic particle shapes considering the major plane of orientation of particles in discrete element modelling (DEM). The particle generation framework includes capturing high-quality scanning electron microscope (SEM) images, followed by image processing and generation of clumps using a commonly used multi-sphere (MS) approach in particle flow code (PFC3D). A set of experimental direct shear tests (DST) and subsequent DEM simulations were performed by incorporating realistic particle shapes. The simulation results show a good agreement with those obtained in the laboratory. In addition, the normal stress showed a significant effect on the structural anisotropy of the granular materials.

Tài liệu tham khảo

Gong J, Liu J (2017) Effect of aspect ratio on triaxial compression of multi-sphere ellipsoid assemblies using a discrete element method. Particuology 32:49–62 Kodicherla SPK, Nandyala DK (2023) Morphological effects on the angle of repose of granular materials: a discrete element investigation. Granul Matter 25(4). https://doi.org/10.1007/s10035-023-01361-8 Kaeshammer E, Borne L, Willot F, Dokladal P, Belon S (2021) Morphological characterization and elastic response of a granular material. Comput Mater Sci 190:110247 Kodicherla SPK, Gong G, Fan L, Wilkinson S, Moy CKS (2020) DEM investigations of the effects of particle morphology on granular material behaviour using a multi-sphere approach. J Rock Mech Geotech Eng 12(6):1301–1312 Altuhafi F, Coop M (2011) Changes to particle characteristics associated with the compression of sands. Geotechnique 61(6):459–471 Guo P, Su X (2007) Shear strength, interparticle locking and dialtancy of granular materials. Can Geotech J 44(5):579–591 Meidani M, Meguid MA, Chouinard LE (2018) Estimating earth loads on buried pipes under axial loading condition: insights from 3D discrete element analysis. Int J Geoeng. https://doi.org/10.1186/s40703-018-0073-3 Tsomokos A, Georgiannou V (2010) Effect of grain shape and angularity on the undrained response of fine sands. Can Geotech J 47(5):539–551 Yang J, Luo X (2015) Exploring the relationship between critical state and particle shape for granular materials. J Mech Phys Solids 84:196–213 Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65 Gong G, Thornton C, Chan AHC (2012) DEM simulations of undrained triaxial behavior of granular material. J Eng Mech 138(6):560–566 Kodicherla SPK, Gong G, Fan L, Wilkinson S (2023) DEM simulations of critical state behaviour of granular materials under various drained triaxial stress path tests. Particuology 81(4):98–108 Shi J, Guo P (2018) Fabric evolution of granular materials along imposed stress paths. Acta Geotech 13:1–14 Shi J, Guo P (2018) Induced fabric anisotropy of granular materials in biaxial tests along imposed strain paths. Soils Found 58:249–263 Amirpour Harehdasht S, Roubtsova V, Chekired M, Hussien MN, Karray M (2018) Micromechanics-based assessment of reliability and applicability of boundary measurements in symmetrical direct shear test. Can Geotech J 55(3):397–413 Cui L, O’Sullivan C (2006) Exploring the macro-and micro-scale response of an idealised granular material in the direct shear apparatus. Geotechnique 56(7):455–468 Gong H, Song W, Huang B, Shu X, Han B, Wu H, Zou J (2019) Direct shear properties of railway ballast mixed with tire derived aggregates: experimental and numerical investigations. Constr Build Mater 200:465–473 Kodicherla SPK, Gong G, Yang ZX, Krabbenhoft K, Fan L, Moy CKS, Wilkinson S (2019) The influence of particle elongations on direct shear behaviour of granular materials using DEM. Granul Matter 21:86. https://doi.org/10.1007/s10035-019-0947-x Salazar A, Sáez E, Pardo G (2015) Modeling the direct shear test of a coarse sand using the 3D discrete element method with a rolling friction model. Comput Geotech 67:83–93 Iwashita K, Oda M (2000) Micro-deformation mechanism of shear banding process based on modified distinct element method. Powder Technol 109(1–3):192–205 Jiang MJ, Yu HS, Harris D (2005) A novel discrete model for granular material incorporating rolling resistance. Comput Geotech 32(5):340–357 Zhou B, Huang R, Wang H, Wang J (2013) DEM investigation of particle anti-rotation effects on the micromechanical response of granular materials. Granul Matter 15(3):315–326 Coetzee CJ (2016) Calibration of the discrete element method and the effect of particle shape. Powder Technol 297:50–70 Indraratna B, Trung Ngo N, Rujikiatkamjorn C, Vinod JS (2014) Behavior of fresh and fouled railway ballast subjected to direct shear testing: discrete element simulation. Int J Geomech 14:34–44 Ni Q, Powrie W, Zhang X, Harkness R (2000) Effect of particle properties of soil behaviour: 3-D numerical modelling of direct shear test. Numer Methods Geotech Eng. https://doi.org/10.1061/40502(284)5 Wang Z, Jing G, Yu Q, Yin H (2015) Analysis of ballast direct shear tests by discrete element method under different normal stress. Measurement 63:17–24 Wang C, Deng A, Taheri A (2018) Three-dimensional discrete element modeling of direct shear test for granular rubber-sand. Comput Geotech 97:204–216 Ando E, Hall SA, Viggiani G, Desrues J, Besuelle P (2012) Experimental micromechanics: grain-scale observation of sand deformation. Geotech Lett 2(3):107–112 Garboczi EJ, Bullard JW (2017) 3D analytical mathematical models of random star-shape particles via a combination of X-ray computed microtomography and spherical harmonic analysis. Adv Powder Technol 28(2):325–339 Lin CL, Miller JD (2005) 3D characterization and analysis of particle shape using X-ray microtomography (XMT). Powder Technol 154(1):61–69 Masad E, Saadeh S, Al-Rousan T, Garboczi E, Little D (2005) Computations of particle surface characteristics using optical and X-ray CT images. Comput Mater Sci 34:406–424 Mollon G, Zhao J (2013) Generating realistic 3D sand particles using Fourier descriptors. Granular Matter 15(1):95–108 Sun Y, Indraratna B, Nimbalkar S (2014) Three-dimensional characterisation of particle size and shape for ballast. Geotech Lett 4(3):197–202 Vangla P, Roy N, Gali M (2018) Image based shape characterization of granular materials and its effect on kinematics of particle motion. Granul Matter. https://doi.org/10.1007/s10035-017-0776-8 Schneider CA, Rasband WS, Eliceiri KW (2012) NIH Image to Image J: 25 years of image analysis. Nat Methods 9(7):671–675 Gander W, Golub GH, Strebel R (1994) Least-squares fitting of circles and ellipses. BIT Numer Math 34(4):558–578 Zheng J, Hryciw RD (2015) Traditional soil particle sphericity, roundness and surface roughness by computational geometry. Geotechnique 65(6):494–506 Thakur PK, Vinod JS, Indraratna B (2010) Effect of particle breakage on cyclic densification of ballast behaviour, Proc., AREMA 2008 Annual Conf., American Railway Engineering and Maintenance-of-Way Association (AREMA), Lanham, MD, 21–24 Zhou Y, Wang H, Zhou B, Li J (2018) DEM-aided direct shear testing of granular sands incorporating realistic particle shape. Granul Matter. https://doi.org/10.1007/s10035-018-0828-8 Itasca Consulting Group. (2018). Particle flow code in three dimensions (PFC3D), Minneapolis Indraratna B, Wijewardena LSS, Balasubramaniam AS (1993) Large-scale triaxial testing of greywacke rockfill. Geotechnique 42(1):37–51 Sari M (2021) Determination of representative elementary volume (REV) for jointed rock masses exhibiting scale-dependent behavior: a numerical investigation. Int J Geoeng. https://doi.org/10.1186/s40703-021-00164-1 Indraratna B, Thakur PK, Vinod JS (2010) Experimental and numerical study of railway ballast behavior under cyclic loading. Int J Geomech 10(4):136–144 McDowell GR, Harireche O, Konietzky H, Brown SF, Thom NH (2006) Discrete element modelling of geogrid-reinforced aggregates. Geotech Eng 159(1):35–48 Jia T, Zhang Y, Chen JK (2012) Simulation of granular packing of particles with different size distributions. Comput Mater Sci 51:172–180 Gong G (2008) DEM simulations of drained and undrained behaviour. Ph.D. thesis, University of Birmingham, UK Kodicherla SPK, Gong G, Fan L, Wilkinson S, Moy CKS (2021) Discrete element modelling of strength and critical state characteristics of granular materials under axial compression and axial extension stress path tests. Particuology 56:152–162 O’Sullivan C (2011) Particulate discrete element modelling. A geomechanics perspective, applied geotechnics 4, 1st edn. CRC Press, Boca Raton, p 390 Rahmoun J, Kondo D, Millet O (2009) A 3D fourth order fabric tensor approach of anisotropy in granular media. Comput Mater Sci 46:869–880 Satake M (1982) Fabric tensor in granular materials. In: Proceedings IUTAM Conference on Deformation and Failure of Granular Materials. Delft, pp. 63–67 Radjai F, Wolf DE, Jean M, Moreau JJ (1998) Bimodal character of stress transmission in granular packings. Phys Rev Lett 80(1):61–64 Thornton C (2000) Numerical simulations of deviatoric shear deformations of granular media. Geotechnique 50(1):43–53 Zhao S, Zhou X, Liu W (2015) Discrete element simulations of direct shear tests with particle angularity effect. Granul Matter 17(6):793–806 Zhao X, Evans TM (2011) Numerical analysis of critical state behaviours of granular soils under different loading conditions. Granul Matter 13:751–764