Large-Scale Discrete-Element Modeling for Engineering Analysis: Case Study for the Mobility Cone Penetrometer
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 145, Issue 12
Abstract
This study aims to examine the use of the discrete-element method (DEM) for prototype-scale analyses of large discontinuous deformations. As an example, this paper presents the results of large-scale modeling of a mobility cone penetration test using DEM. The analysis demonstrates the potential for very-large-scale fully three-dimensional discrete-element computations for simulation of uniquely difficult geotechnical problems involving discontinuous deformation such as cone penetration, plowing, and slope stability. The particle-scale resolution was achieved using several million particles as a straightforward application of high-performance computing with message-passing interface (HPC-MPI) techniques. The use of the discrete-element method for micromechanical studies versus prototype-scale engineering studies are discussed in detail. The former involves accurately depicting details such as particle size distribution and particle shape; the latter uses the computational particles, similar to finite elements, where characteristics of the particles are simplified to gain computational efficiency. The DEM inherently captures qualitative constitutive soil behavior; calibration procedures are directed at achieving accurate quantitative behavior. A key issue is defining the soil’s consolidation state because porosity cannot be specified as a material parameter but depends on particle placement and compaction. In addition to cone simulations in the near-surface environment, deep penetration simulations were used to examine the effect of confining stress on volume change. The cone tended to increase porosity at all stress levels, although the increase was significantly subdued by higher stress levels. The particle stress is presented in various formats to illustrate how cone resistance is developed.
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Acknowledgments
This material is based upon research conducted under contract W9I2HZ-17-C-0021 with the US Army Engineer Research and Development Center (ERDC). The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of ERDC or the US Government. Distribution Statement A: Approved for public release: distribution unlimited. Computational resources at the Mississippi State University High Performance Computing Collaboratory () center (Talon, Shadow) and ERDC High Performance Computing Modernization Program (HPCMP) (Garnet and Topaz) were used.
References
Abu-Farsakh, M. Y., G. Z. Voyiadjis, and M. T. Tumay. 1998. “Numerical analysis of the miniature piezocone penetration tests (PCPT) in cohesive soils.” Int. J. Numer. Anal. Methods Geomech. 22 (10): 791–818. https://doi.org/10.1002/(SICI)1096-9853(1998100)22:10%3C791::AID-NAG941%3E3.0.CO;2-6.
Ahmadi, M. M., P. M. Byrne, and R. G. Campanella. 2005. “Cone tip resistance in sand: Modeling, verification, and applications.” Can. Geotech. J. 42 (4): 977–993. https://doi.org/10.1139/t05-030.
Alshibli, K. A., and S. Sture. 2000. “Shear band formation in plane strain experiments of sand.” J. Geotech. Geoenviron. Eng. 126 (6): 495–503. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:6(495).
Arroyo, M., J. Butlanska, A. Gens, F. Calvetti, and M. Jamiolkowski. 2011. “Cone penetration tests in a virtual calibration chamber.” Géotechnique 61 (6): 525–531. https://doi.org/10.1680/geot.9.P.067.
Berger, K. J., and C. M. Hrenya. 2014. “Challenges of DEM. II: Wide particle size distributions.” Powder Technol. 264 (Sep): 627–633. https://doi.org/10.1016/j.powtec.2014.04.096.
Butlanska, J., M. Arroyo, A. Gens, and C. O’Sullivan. 2013. “Multi-scale analysis of cone penetration test (CPT) in a virtual calibration chamber.” Can. Geotech. J. 51 (1): 51–66. https://doi.org/10.1139/cgj-2012-0476.
Carrillo, A. R., D. A. Horner, J. F. Peters, and J. E. West. 1996. “Design of a large scale discrete element soil model for high performance computing systems.” In Proc., 1996 ACM/IEEE Conf. on Supercomputing, 1–15. New York: IEEE.
Cleary, P. W. 2009. “Industrial particle flow modelling using discrete element method.” Eng. Computations 26 (6): 698–743. https://doi.org/10.1108/02644400910975487.
Cleary, P. W., and M. Frank. 2006. Three-dimensional discrete element simulation of axisymmetric collapses of granular columns. Kaiserslautern, Germany: Technische Universitat Kaiserslautern.
Cleary, P. W., N. Stokes, and J. Hurley. 1997. “Efficient collision detection for three dimensional super-ellipsoidal particles.” In Proc., 8th Int. Computational Techniques and Applications Conf.: CTAC’97. Canberra, Australia: Australian and New Zealand Industrial and Applied Mathematics Division of the Australian Mathematical Society.
Coetzee, C. 2017. “Review: Calibration of the discrete element method.” Powder Technol. 310 (Apr): 104–142. https://doi.org/10.1016/j.powtec.2017.01.015.
Cole, D. M., and J. F. Peters. 2007. “A physically based approach to granular media mechanics: Grain-scale experiments, initial results and implications to numerical modeling.” Granular Matter 9 (5): 309–321. https://doi.org/10.1007/s10035-007-0046-2.
Cundall, P. A. 2001. “A discontinuous future for numerical modelling in geomechanics?” Proc. Inst. Civ. Eng. Geotech. Eng. 149 (1): 41–47. https://doi.org/10.1680/geng.2001.149.1.41.
Cundall, P. A., and O. D. L. Strack. 1979. “A discrete numerical model for granular assemblies.” Géotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Falagush, O., G. R. McDowell, and H.-S. Yu. 2015. “Discrete element modeling of cone penetration tests incorporating particle shape and crushing.” Int. J. Geomech. 15 (6): 04015003. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000463.
Fan, S., B. Bienen, and M. Randolph. 2018. “Stability and efficiency studies in the numerical simulation of cone penetration in sand.” Géotechnique Lett. 8 (1): 13–18. https://doi.org/10.1680/jgele.17.00105.
Feng, Y., K. Han, D. Owen, and J. Loughran. 2009. “On upscaling of discrete element models: Similarity principles.” Eng. Computations 26 (6): 599–609. https://doi.org/10.1108/02644400910975405.
Ferellec, J.-F., and G. R. McDowell. 2010. “A method to model realistic particle shape and inertia in DEM.” Granular Matter 12 (5): 459–467. https://doi.org/10.1007/s10035-010-0205-8.
Furuichi, M., D. Nishiura, O. Kuwano, A. Bauville, T. Hori, and H. Sakaguchi. 2018. “Arcuate stress state in accretionary prisms from real-scale numerical sandbox experiments.” Sci. Rep. 8 (1): 8685. https://doi.org/10.1038/s41598-018-26534-x.
Goodman, C. C., F. Vahedifard, and J. F. Peters. 2017. “Kinematics of shear banding in 3D plane strain DEM.”In Proc., Geotechnical Frontiers 2017, 519–528. Reston, VA: ASCE.
Gui, M., and D.-S. Jeng. 2009. “Application of cavity expansion theory in predicting centrifuge cone penetration resistance.” Open Civ. Eng. J. 3: 1–6. https://doi.org/10.2174/1874149500903010001.
Holmen, J. K., L. Olovsson, and T. Børvik. 2017. “Discrete modeling of low-velocity penetration in sand.” Comput. Geotech. 86 (Jun): 21–32. https://doi.org/10.1016/j.compgeo.2016.12.021.
Hopkins, M. 2014. “Polyhedra faster than spheres?” Eng. Comput. 31 (3): 567–583. https://doi.org/10.1108/EC-09-2012-0211.
Horner, D. A., A. R. Carrillo, J. F. Peters, and J. E. West. 1998. “High resolution soil vehicle interaction modeling.” Mech. Struct. Mach. 26 (3): 305–318. https://doi.org/10.1080/08905459708945497.
Huang, W., D. Sheng, S. Sloan, and H. Yu. 2004. “Finite element analysis of cone penetration in cohesionless soil.” Comput. Geotech. 31 (7): 517–528. https://doi.org/10.1016/j.compgeo.2004.09.001.
Jarast, P., and M. Ghayoomi. 2018. “Numerical modeling of cone penetration test in unsaturated sand inside a calibration chamber.” Int. J. Geomech. 18 (2): 04017148. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001052.
Jiang, M., H. H. Zhu, and D. Harris. 2008. “Classical and non-classical kinematic fields of two-dimensional penetration tests on granular ground by discrete element method analyses.” Granular Matter 10 (6): 439. https://doi.org/10.1007/s10035-008-0107-1.
Jin, Y.-F., Z.-Y. Yin, Z.-X. Wu, and A. Daouadji. 2018. “Numerical modeling of pile penetration in silica sands considering the effect of grain breakage.” Finite Elem. Anal. Des. 144 (May): 15–29. https://doi.org/10.1016/j.finel.2018.02.003.
Johnson, D. H., F. Vahedifard, B. Jelinek, and J. F. Peters. 2017. “Micromechanical modeling of discontinuous shear thickening in granular media-fluid suspension.” J. Rheol. 61 (2): 265–277. https://doi.org/10.1122/1.4975027.
Kawaguchi, T., T. Tanaka, and Y. Tsuji. 1998. “Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two-and three-dimensional models).” Powder Technol. 96 (2): 129–138. https://doi.org/10.1016/S0032-5910(97)03366-4.
Kiousis, P. D., G. Z. Voyiadjis, and M. T. Tumay. 1988. “A large strain theory and its application in the analysis of the cone penetration mechanism.” Int. J. Numer. Anal. Methods Geomech. 12 (1): 45–60. https://doi.org/10.1002/nag.1610120104.
Knuth, M. A., J. B. Johnson, M. A. Hopkins, R. J. Sullivan, and J. Moore. 2012. “Discrete element modeling of a mars exploration rover wheel in granular material.” J. Terramech. 49 (1): 27–36. https://doi.org/10.1016/j.jterra.2011.09.003.
Kotrocz, K., A. M. Mouazen, and G. Kerényi. 2016. “Numerical simulation of soil–cone penetrometer interaction using discrete element method.” Comput. Electron. Agric. 125 (Jul): 63–73. https://doi.org/10.1016/j.compag.2016.04.023.
Kuhn, M. R. 2003. “Smooth convex three-dimensional particle for the discrete-element method.” J. Eng. Mech. 129 (5): 539–547. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:5(539).
Lu, M., and G. R. McDowell. 2007. “The importance of modelling ballast particle shape in the discrete element method.” Granular Matter 9 (1–2): 69. https://doi.org/10.1007/s10035-006-0021-3.
Markauskas, D., R. Kačianauskas, A. Džiugys, and R. Navakas. 2010. “Investigation of adequacy of multi-sphere approximation of elliptical particles for DEM simulations.” Granular Matter 12 (1): 107–123. https://doi.org/10.1007/s10035-009-0158-y.
Markauskas, D., R. Kačianauskas, and M. Šukšta. 2002. “Modeling the cone penetration test by the finite element method.” In Foundations of civil and environmental engineering. Poznań, Poland: Publishing House of Poznań University of Technology.
Mayne, P. 2006. “In-situ test calibrations for evaluating soil parameters.” In Vol. 3 of Proc., Int. Workshop on Characterisation and Engineering Properties of Natural Soils (Natural Soils 2006), edited by T. Tan, K. Phoon, D. Hight, and S. Leroueil, 1601–1652. London: Taylor & Francics.
Melzer, K.-J. 1971. Measuring soil properties in vehicle mobility research. Report 4. Relative density and cone penetration resistance. Vicksburg, MS: US Army Engineer Waterways Experiment Station.
Mühlhaus, H., and I. Vardoulakis. 1987. “The thickness of shear bands in granular materials.” Géotechnique 37 (3): 271–283. https://doi.org/10.1680/geot.1987.37.3.271.
Nezami, E. G., Y. M. Hashash, D. Zhao, and J. Ghaboussi. 2004. “A fast contact detection algorithm for 3-D discrete element method.” Comput. Geotech. 31 (7): 575–587. https://doi.org/10.1016/j.compgeo.2004.08.002.
O’Sullivan, C. 2011. “Particle-based discrete element modeling: Geomechanics perspective.” Int. J. Geomech. 11 (6): 449–464. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000024.
Peters, J. F., M. A. Hopkins, R. Kala, and R. E. Wahl. 2009. “A poly-ellipsoid particle for non-spherical discrete element method.” Eng. Comput. 26 (6): 645–657. https://doi.org/10.1108/02644400910975441.
Peters, J. F., M. Muthuswamy, J. Wibowo, and A. Tordesillas. 2005. “Characterization of force chains in granular material.” Physical Rev. E 72 (4): 041307. https://doi.org/10.1103/PhysRevE.72.041307.
Priddy, J. D., E. S. Berney, and J. F. Peters. 2012. “Effect of near-surface hydrology on soil strength and mobility.” Geol. Soc. London, Spec. Publ. 362 (1): 301–320. https://doi.org/10.1144/SP362.17.
Salgado, R., J. K. Mitchell, and M. Jamiolkowski. 1997. “Cavity expansion and penetration resistance in sand.” J. Geotech. Geoenviron. Eng. 123 (4): 344–354. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:4(344).
Salot, C., P. Gotteland, and P. Villard. 2009. “Influence of relative density on granular materials behavior: DEM simulations of triaxial tests.” Granular Matter 11 (4): 221–236. https://doi.org/10.1007/s10035-009-0138-2.
Stevens, M. T., B. W. Towne, G. L. Mason, J. D. Priddy, J. E. Osorio, and C. A. Barela. 2013. Procedures for one-pass vehicle cone index () determination for acquisition support. Vicksburg, MS: US Army Corps of Engineers Research and Development Center.
Ting, J. M., B. T. Corkum, C. R. Kauffman, and C. Greco. 1989. “Discrete numerical model for soil mechanics.” J. Geotech. Eng. 115 (3): 379–398. https://doi.org/10.1061/(ASCE)0733-9410(1989)115:3(379).
Tordesillas, A., S. Pucilowski, D. M. Walker, J. Peters, and M. Hopkins. 2012. “A complex network analysis of granular fabric evolution in three-dimensions.” Dynam. Cont. Dis. Ser. B 19 (Jan): 471–495.
Tordesillas, A., J. Zhang, and R. Behringer. 2009. “Buckling force chains in dense granular assemblies: Physical and numerical experiments.” Geomech. Geoeng.: Int. J. 4 (1): 3–16. https://doi.org/10.1080/17486020902767347.
van den Berg, P., R. de Borst, and H. Huétink. 1996. “An Eulerean finite element model for penetration in layered soil.” Int. J. Numer. Anal. Methods Geomech. 20 (12): 865–886. https://doi.org/10.1002/(SICI)1096-9853(199612)20:12%3C865::AID-NAG854%3E3.0.CO;2-A.
Vardoulakis, I. 1980. “Shear band inclination and shear modulus of sand in biaxial tests.” Int. J. Numer. Anal. Methods Geomech. 4 (2): 103–119. https://doi.org/10.1002/nag.1610040202.
Walton, O. R., and R. L. Braun. 1986. “Stress calculations for assemblies of inelastic speres in uniform shear.” Acta Mech. 63 (1–4): 73–86. https://doi.org/10.1007/BF01182541.
Yu, H. 2006. “The first James K. Mitchell lecture in situ soil testing: From mechanics to interpretation.” Geomech. Geoeng.: Int. J. 1 (3): 165–195. https://doi.org/10.1080/17486020600986884.
Yu, H., and G. Houlsby. 1991. “Finite cavity expansion in dilatant soils: Loading analysis.” Géotechnique 41 (2): 173–183. https://doi.org/10.1680/geot.1991.41.2.173.
Zhang, Z., and Y.-H. Wang. 2015. “Three-dimensional dem simulations of monotonic jacking in sand.” Granular Matter 17 (3): 359–376. https://doi.org/10.1007/s10035-015-0562-4.
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Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 145 • Issue 12 • December 2019
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©2019 American Society of Civil Engineers.
History
Received: Oct 26, 2018
Accepted: Jul 23, 2019
Published online: Sep 29, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 29, 2020
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