Technical Papers
Jun 17, 2021

Influence of Micro- and Crystalline-Scale Properties on the Fracture of Silica Sand Particles Using 3D Finite-Element Analysis

Publication: International Journal of Geomechanics
Volume 21, Issue 9

Abstract

Particle fracture significantly influences the constitutive behavior of sands and impacts many geotechnical engineering applications, such as hydraulic fracturing, pile driving, blast loading, and stability of dams. When a confined specimen of sand is loaded in 1D compression, particles ultimately fracture, causing permanent microscale deformations that contribute to the yielding behavior of the sand. The most common constituent of sand particles is silica mineral (quartz), which is well known for its natural abundance and high compressive strength. Such excellent properties make silica sand particles an excellent proppant for high-pressure hydraulic fracturing in the oil and gas industry and many other applications. This paper investigates the fracture characteristics of silica sand particles using 3D finite-element (FE) simulations of single particle crushing and confined 1D compression experiments. The 3D FE simulations were generated using digital image processing of in-situ synchrotron microcomputed tomography (SMT) scans, unique 3D meshing algorithms, and coding development in ABAQUS FE software. In-situ SMT images were processed to produce 3D meshes that accurately resemble the complex morphology of the natural sand particles. A material point user-subroutine was developed and implemented in ABAQUS to simulate the constitutive and fracture behaviors of the 3D meshed particles. The user-subroutine incorporates the anisotropic linear elastic behavior of silica mineral and models particle fracture using the principles of continuum damage mechanics. In single-particle crushing, the fracture stress of the sand particle was mostly dependent on the nature of contact between the particle and loading platens. The fracture pattern of the sand particle was mainly influenced by microstructural imperfections and the direction of loading relative to the crystal lattice orientation of the sand particle. In confined 1D compression, the fracture stress of the sand particles correlated well with the particle coordination number and the aspect ratio. Sand particles within the specimen were found to fracture at higher stress levels when they established more contacts with their neighboring particles and exhibited mostly spherical shapes rather than elongated ones. The paper demonstrates the fundamental contribution of micro- and crystalline-scale properties to determine the constitutive and fracture behaviors of silica sand particles.

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Acknowledgments

This material was partially funded by the US National Science Foundation (NSF) under Grant No. CMMI-1362510. Any opinions, findings, conclusions, and recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the NSF. The SMT and 3DXRD scans were collected using the X-Ray Operations and Research Beamline Stations 13-BMD and 1-ID of the Advanced Photon Source (APS), a US Department of Energy (DOE) Office of Science User Facility operated by the Argonne National Laboratory (ANL) under Contract No. DE-AC02-06CH11357. We acknowledge the support of GeoSoilEnviroCARS (Sector 13), which is funded by the NSF Earth Sciences (EAR-1128799), and the DOE Geosciences (DE-FG02-94ER14466). We thank Dr. Mark Rivers and Dr. Peter Kenesei for their guidance at APS. We also thank Zaher Jarrar for his valuable comments during manuscript preparation.

References

Afshar, T., M. M. Disfani, A. Arulrajah, G. A. Narsilio, and S. Emam. 2017. “Impact of particle shape on breakage of recycled construction and demolition aggregates.” Powder Technol. 308: 1–12. https://doi.org/10.1016/j.powtec.2016.11.043.
Alshibli, K., M. Cil, P. Kenesei, and U. Lienert. 2013. “Strain tensor determination of compressed individual silica sand particles using high-energy synchrotron diffraction.” Granular Matter 15 (5): 517–530. https://doi.org/10.1007/s10035-013-0424-x.
Amirrahmat, S., W. H. Imseeh, K. A. Alshibli, P. Kenesei, Z. A. Jarrar, and H. Sharma. 2020. “3D experimental measurements of evolution of force chains in natural silica sand.” J. Geotech. Geoenviron. Eng. 146 (5): 04020027. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002241.
Bolton, M. D. 1986. “The strength and dilatancy of sands.” Geotechnique 36 (1): 65–78. https://doi.org/10.1680/geot.1986.36.1.65.
Cervera, M., and M. Chiumenti. 2006. “Mesh objective tensile cracking via a local continuum damage model and a crack tracking technique.” Comput. Methods Appl. Mech. Eng. 196 (1–3): 304–320. https://doi.org/10.1016/j.cma.2006.04.008.
Chuhan, F. A., A. Kjeldstad, K. Bjørlykke, and K. Høeg. 2002. “Porosity loss in sand by grain crushing—Experimental evidence and relevance to reservoir quality.” Mar. Pet. Geol. 19 (1): 39–53. https://doi.org/10.1016/S0264-8172(01)00049-6.
Cil, M. B., K. A. Alshibli, and P. Kenesei. 2017. “3D experimental measurement of lattice strain and fracture behavior of sand particles using synchrotron X-ray diffraction and tomography.” J. Geotech. Geoenviron. Eng. 143 (9): 04017048. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001737.
Cil, M. B., K. A. Alshibli, P. Kenesei, and U. Lienert. 2014. “Combined high-energy synchrotron X-ray diffraction and computed tomography to characterize constitutive behavior of silica sand.” Nucl. Instrum. Methods Phys. Res., Sect. B 324: 11–16. https://doi.org/10.1016/j.nimb.2013.08.043.
Cil, M. B., K. A. Alshibli, G. Mcdowell, and H. Li. 2013. “Discussion: 3D assessment of fracture of sand particles using discrete element method.” Géotech. Lett. 3 (1): 13–15. https://doi.org/10.1680/geolett.13.00004.
Clayton, J. D., and J. Knap. 2015. “Phase field modeling of directional fracture in anisotropic polycrystals.” Comput. Mater. Sci. 98: 158–169. https://doi.org/10.1016/j.commatsci.2014.11.009.
Coop, M., and I. Lee. 1993. “The behaviour of granular soils at elevated stresses.” In Predictive Soil Mechanics, 186–198. London: Thomas Telford.
Druckrey, A. M., and K. A. Alshibli. 2016. “3D finite element modeling of sand particle fracture based on in situ X-Ray synchrotron imaging.” Int. J. Numer. Anal. Methods Geomech. 40 (1): 105–116. https://doi.org/10.1002/nag.2396.
Gao, R., X. Du, Y. Zeng, Y. Li, and J. Yan. 2012. “A new method to simulate irregular particles by discrete element method.” J. Rock Mech. Geotech. Eng. 4 (3): 276–281. https://doi.org/10.3724/SP.J.1235.2012.00276.
Guimaraes, M. S., J. R. Valdes, A. M. Palomino, and J. C. Santamarina. 2007. “Aggregate production: Fines generation during rock crushing.” Int. J. Miner. Process. 81 (4): 237–247. https://doi.org/10.1016/j.minpro.2006.08.004.
Hanley, K. J., C. O’Sullivan, J. C. Oliveira, K. Cronin, and E. P. Byrne. 2011. “Application of Taguchi methods to DEM calibration of bonded agglomerates.” Powder Technol. 210 (3): 230–240. https://doi.org/10.1016/j.powtec.2011.03.023.
Harmon, J. M., D. Arthur, and J. E. Andrade. 2020. “Level set splitting in DEM for modeling breakage mechanics.” Comput. Methods Appl. Mech. Eng. 365: 112961. https://doi.org/10.1016/j.cma.2020.112961.
Heyliger, P., H. Ledbetter, and S. Kim. 2003. “Elastic constants of natural quartz.” J. Acoust. Soc. Am. 114 (2): 644–650. https://doi.org/10.1121/1.1593063.
Hiramatsu, Y., and Y. Oka. 1966. “Determination of the tensile strength of rock by a compression test of an irregular test piece.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 3 (2): 89–90. https://doi.org/10.1016/0148-9062(66)90002-7.
Hurley, R. C., J. Lind, D. C. Pagan, M. C. Akin, and E. B. Herbold. 2018. “In situ grain fracture mechanics during uniaxial compaction of granular solids.” J. Mech. Phys. Solids 112: 273–290. https://doi.org/10.1016/j.jmps.2017.12.007.
Imseeh, W. H., and K. A. Alshibli. 2018. “3D finite element modelling of force transmission and particle fracture of sand.” Comput. Geotech. 94: 184–195. https://doi.org/10.1016/j.compgeo.2017.09.008.
Imseeh, W. H., K. A. Alshibli, A. Moslehy, P. Kenesei, and H. Sharma. 2020. “Influence of crystal structure on constitutive anisotropy of silica sand at particle-scale.” Comput. Geotech. 126: 103718. https://doi.org/10.1016/j.compgeo.2020.103718.
Jarrar, Z. A., K. A. Alshibli, and R. I. Al-Raoush. 2020. “Three-dimensional evaluation of sand particle fracture using discrete-element method and synchrotron microcomputed tomography images.” J. Geotech. Geoenviron. Eng. 146 (7): 06020007. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002281.
Karatza, Z., E. Ando, S.-A. Papanicolopulos, J. Y. Ooi, and G. Viggiani. 2018. “Evolution of deformation and breakage in sand studied using X-ray tomography.” Géotechnique 68 (2): 107–117. https://doi.org/10.1680/jgeot.16.P.208.
Karimpour, H., and P. V. Lade. 2010. “Time effects relate to crushing in sand.” J. Geotech. Geoenviron. Eng. 136 (9): 1209–1219. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000335.
Kawamoto, R., E. Andò, G. Viggiani, and J. E. Andrade. 2018. “All you need is shape: Predicting shear banding in sand with LS-DEM.” J. Mech. Phys. Solids 111: 375–392. https://doi.org/10.1016/j.jmps.2017.10.003.
Lade, P. V., J. A. Yamamuro, and P. A. Bopp. 1996. “Significance of particle crushing in granular materials.” J. Geotech. Eng. 122 (4): 309–316. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:4(309).
Lee, K. L., and I. Farhoomand. 1967. “Compressibility and crushing of granular soil in anisotropic triaxial compression.” Can. Geotech. J. 4 (1): 68–86. https://doi.org/10.1139/t67-012.
Lemaitre, J., and J.-L. Chaboche. 1978. “Aspect phénoménologique de la rupture par endommagement.” J. Méc. Appl. 2 (3): 317–365.
Li, H., and G. R. McDowell. 2018. “Discrete element modelling of under sleeper pads using a box test.” Granular Matter 20 (2): 26. https://doi.org/10.1007/s10035-018-0795-0.
Lobo-Guerrero, S., and L. E. Vallejo. 2005. “Analysis of crushing of granular material under isotropic and biaxial stress conditions.” Soils Found. 45 (4): 79–87. https://doi.org/10.3208/sandf.45.4_79.
McDowell, G. R., and M. D. Bolton. 1998. “On the micromechanics of crushable aggregates.” Géotechnique 48 (5): 667–679. https://doi.org/10.1680/geot.1998.48.5.667.
Nakata, A. F. L., M. Hyde, H. Hyodo, and H. Murata. 1999. “A probabilistic approach to sand particle crushing in the triaxial test.” Géotechnique 49 (5): 567–583. https://doi.org/10.1680/geot.1999.49.5.567.
Nicksiar, M., and C. D. Martin. 2014. “Factors affecting crack initiation in low porosity crystalline rocks.” Rock Mech. Rock Eng. 47 (4): 1165–1181. https://doi.org/10.1007/s00603-013-0451-2.
Parab, N. D., B. Claus, M. C. Hudspeth, J. T. Black, A. Mondal, J. Sun, K. Fezzaa, X. Xiao, S. Luo, and W. Chen. 2014. “Experimental assessment of fracture of individual sand particles at different loading rates.” Int. J. Impact Eng. 68: 8–14. https://doi.org/10.1016/j.ijimpeng.2014.01.003.
Potyondy, D. O., and P. A. Cundall. 2004. “A bonded-particle model for rock.” Int. J. Rock Mech. Min. Sci. 41 (8): 1329–1364. https://doi.org/10.1016/j.ijrmms.2004.09.011.
Rowe, P. W. 1962. “The stress-dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. London, Ser. A 269 (1339): 500–527. https://doi.org/10.1098/rspa.1962.0193.
Russell, A. R., and N. Khalili. 2004. “A bounding surface plasticity model for sands exhibiting particle crushing.” Can. Geotech. J. 41 (6): 1179–1192. https://doi.org/10.1139/t04-065.
Thakur, M. M., and D. Penumadu. 2020. “Triaxial compression in sands using FDEM and micro-X-ray computed tomography.” Comput. Geotech. 124: 103638. https://doi.org/10.1016/j.compgeo.2020.103638.
Todisco, M. C., W. Wang, M. R. Coop, and K. Senetakis. 2017. “Multiple contact compression tests on sand particles.” Soils Found. 57 (1): 126–140. https://doi.org/10.1016/j.sandf.2017.01.009.
Turner, A. K., A. Sharma, D. Penumadu, and E. B. Herbold. 2019. “Finite element analyses of single particle crushing tests incorporating computed tomography imaging and damage mechanics.” Comput. Geotech. 115: 103158. https://doi.org/10.1016/j.compgeo.2019.103158.
Wei, D., B. Zhao, D. Dias-da-Costa, and Y. Gan. 2019. “An FDEM study of particle breakage under rotational point loading.” Eng. Fract. Mech. 212: 221–237. https://doi.org/10.1016/j.engfracmech.2019.03.036.
Wu, M., and J. Wang. 2019. “Registration of point cloud data for matching crushed sand particles.” Powder Technol. 347: 227–242. https://doi.org/10.1016/j.powtec.2019.03.001.
Xiao, Y., M. Meng, A. Daouadji, Q. Chen, Z. Wu, and X. Jiang. 2020. “Effects of particle size on crushing and deformation behaviors of rockfill materials.” Geosci. Front. 11 (2): 375–388. https://doi.org/10.1016/j.gsf.2018.10.010.
Zhao, B., J. Wang, M. R. Coop, G. Viggiani, and M. Jiang. 2015. “An investigation of single sand particle fracture using X-ray micro-tomography.” Géotechnique 65 (8): 625–641. https://doi.org/10.1680/geot.4.P.157.
Zheng, W., and D. Tannant. 2016. “Frac sand crushing characteristics and morphology changes under high compressive stress and implications for sand pack permeability.” Can. Geotech. J. 53 (9): 1412–1423. https://doi.org/10.1139/cgj-2016-0045.
Zhou, W., L. Yang, G. Ma, X. Chang, Z. Lai, and K. Xu. 2016. “DEM analysis of the size effects on the behavior of crushable granular materials.” Granular Matter 18 (3): 64. https://doi.org/10.1007/s10035-016-0656-7.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 9September 2021

History

Received: Jul 16, 2020
Accepted: Apr 16, 2021
Published online: Jun 17, 2021
Published in print: Sep 1, 2021
Discussion open until: Nov 17, 2021

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Postdoctoral Research Associate, Dept. of Civil and Environmental Engineering, Univ. of Tennessee, 325 John D. Tickle Building, Knoxville, TN 37996. ORCID: https://orcid.org/0000-0002-8210-8191. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Tennessee, 325 John D. Tickle Building, Knoxville, TN 37996 (corresponding author). ORCID: https://orcid.org/0000-0001-5351-1670. Email: [email protected]

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Cited by

  • Strainburst Control in Deep Tunnels Using a Slotted Excavation Method, International Journal of Geomechanics, 10.1061/(ASCE)GM.1943-5622.0002343, 22, 4, (2022).
  • Influence of Crystalline Structure on Strength Anisotropy of Silica Sand, Multiscale Processes of Instability, Deformation and Fracturing in Geomaterials, 10.1007/978-3-031-22213-9_10, (87-98), (2022).

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