Combined FEM/DEM Modeling of Triaxial Compression Tests for Rockfills with Polyhedral Particles
Publication: International Journal of Geomechanics
Volume 14, Issue 4
Abstract
Using a microscopic modeling approach, a simplification of the discrete element’s shape was done by using irregular convex polyhedrons to reproduce the geometry-dependent behavior of rockfills. Numerical modeling of the triaxial compression tests was conducted using a combined FEM and discrete-element method (FEM/DEM). The micromechanical properties of the numerical sample were calibrated to match the macroscopic response of the real material. The numerical results quantitatively agree with the laboratory results, which reproduce typical features of the mechanical behavior of rockfills, such as nonlinear stress-strain relationship, compaction, and shear dilatancy. The combined FEM/DEM simulation provides an opportunity for a quantitative study of the microstructure of particle assemblages, which give a better understanding of the mechanical characteristics of rockfills.
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Acknowledgments
This work was sponsored by the National Natural Science Foundation of China (grant No. 50979082)
References
Alonso-Marroquin, F., and Hermann, H. J. (2002). “Calculation of the incremental stress-strain relation of a polygonal packing.” Phys. Rev. E Stat. Nonlin. Soft Matter Phys., 6(2), 021301.
Azéma, E., and Radjaï, F. (2010). “Stress-strain behavior and geometrical properties of packings of elongated particles.” Phys. Rev. E Stat. Nonlin. Soft Matter Phys., 81(5), 051304.
Azéma, E., Radjaï, F., Peyroux, R., and Saussine, G. (2007). “Force transmission in a packing of pentagonal particles.” Phys. Rev. E Stat. Nonlin. Soft Matter Phys., 76(1), 011301.
Azéma, E., Radjaï, F., and Saussine, G. (2009). “Quasistatic rheology, force transmission and fabric properties of a packing of irregular polyhedral particles.” Mech. Mater., 41(6), 729–741.
Belheine, N., Plassiard, J.-P., Donzé, F.-V., Darve, F., and Seridi, A. (2009). “Numerical simulation of drained triaxial test using 3D discrete element modeling.” Comput. Geotech., 36(1–2), 320–331.
Cambou, B., Dubujet, P., and Nouguier-Lehon, C. (2004). “Anisotropy in granular materials at different scales.” Mech. Mater., 36(12), 1185–1194.
Cheng, Z. L., Zuo, Y. Z., Ding, H. S., Jiang, J. S., and Kong, X. Y. (2010). “Wetting characteristics of coarse-grained materials.” Chin. J. Geotech. Eng., 32(2), 243–247.
Cheung, G., and O'Sullivan, C. (2008). “Effective simulation of flexible lateral boundaries in two- and three-dimensional DEM simulations.” Particuology, 6(6), 483–500.
Cho, G., Dodds, J., and Santamarina, J. (2006). “Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands.” J. Geotech. Geoenviron. Eng., 591–602.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Geotechnique, 29(1), 47–65.
Donzé, F. V., Richefeu, V., and Magnier, S. A. (2009). “Advances in discrete element method applied to soil, rock and concrete mechanics.” Electron. J. Geotech. Eng., 8(39), 1–44.
Gong, G., Thornton, C., and Chan, A. (2012). “DEM simulations of undrained triaxial behavior of granular material.” J. Eng. Mech., 560–566.
Guo, N., and Zhao, J. (2013). “The signature of shear-induced anisotropy in granular media.” Comput. Geotech., 47(Jan), 1–15.
Iwashita, K., and Oda, M. (1998). “Rolling resistance at contacts in simulation of shear band development by DEM.” J. Eng. Mech., 285–292.
Jiang, M. J., Yu, H. S., and Harris, D. (2005). “A novel discrete model for granular material incorporating rolling resistance.” Comput. Geotech., 32(5), 340–357.
Kuhn, M. R. (2003). “Smooth convex three-dimensional particle for the discrete-element method.” J. Eng. Mech., 539–547.
Lee, S. J., Hashash, Y. M. A., and Nezami, E. G. (2012). “Simulation of triaxial compression tests with polyhedral discrete elements.” Comput. Geotech., 43(Jun), 92–100.
Lin, X., and Ng, T. T. (1997). “A three dimensional discrete element model using arrays of ellipsoids.” Geotechnique, 47(2), 319–329.
Lisjak, A., Liu, Q., Zhao, Q., Mahabadi, O. K., and Grasselli, G. (2013). “Numerical simulation of acoustic emission in brittle rocks by two-dimensional finite-discrete element analysis.” Geophys. J. Int., 195(1), 423–443.
Mahabadi, O. K., Lisjak, A., Munjiza, A., and Grasselli, G. (2012). “Y-Geo: New combined finite-discrete element numerical code for geomechanical applications.” Int. J. Geomech., 676–688.
Mirghasemi, A. A., Rothenburg, L., and Matyas, E. L. (1997). “Numerical simulations of assemblies of two-dimensional polygon-shaped particles.” Soils Found., 37(3), 43–52.
Munjiza, A. (2004). The combined finite-discrete element method, Wiley, New York.
Munjiza, A., Andrews, K., and White, J. (1999). “Combined single and smeared crack model in combined finite-discrete element analysis.” Int. J. Numer. Methods Eng., 44(1), 41–57.
Munjiza, A., Owen, D. R. J., and Bicanic, N. (1995). “A combined finite-discrete element method in transient dynamics of fracturing solids.” Eng. Comput., 12(2), 145–174.
Ng, T. T. (1994). “Numerical simulations of granular soil using elliptical particles.” Comput. Geotech., 16(2), 153–169.
Nouguier-Lehon, C., Vincens, E., and Cambou, B. (2005). “Structural changes in granular materials: The case of irregular polygonal particles.” Int. J. Solids Struct., 42(24–25), 6356–6375.
Ouadfel, H., and Rothenburg, L. (2001). “Stress-force-fabric relationship for assemblies of ellipsoids.” Mech. Mater., 33(4), 201–221.
O’Sullivan, C. (2011). “Particle-based discrete element modeling: Geomechanics perspective.” Int. J. Geomech., 449–464.
Péna, A. A., Lizcano, A., Alonso-Marroquin, F., and Herrmann, H. J. (2008). “Biaxial test simulations using a packing of polygonal particles.” Int. J. Numer. Anal. Methods Geomech., 32(2), 143–160.
Peters, J., Hopkins, M. A., Kala, R., and Wahl, R. E. (2009). “A poly-ellipsoid particle for non-spherical discrete element method.” Eng. Comput., 26(6), 645–657.
Peters, J. F., Muthuswamy, M., Wibowo, J., and Tordesillas, A. (2005). “Characterization of force chains in granular material.” Phys. Rev. E Stat. Nonlin. Soft Matter Phys., 72(4), 041307.
Procopio, A. T., and Zavaliangos, A. (2005). “Simulation of multi-axial compaction of granular media from loose to high relative densities.” J. Mech. Phys. Solids, 53(7), 1523–1551.
Radjai, F., Wolf, D. E., Jean, M., and Moreau, J. J. (1998). “Bimodal character of stress transmission in granular packings.” Phys. Rev. Lett., 80(1), 61–64.
Rowe, P. W. (1962). “The stress-dilatancy relation for static equilibrium of an assembly of particles in contact.” Proc. R. Soc. Lond. A Math. Phys. Sci., 269(1339), 500–527.
Salot, C., Gotteland, P., and Villard, P. (2009). “Influence of relative density on granular materials behavior: DEM simulations of triaxial tests.” Granul. Matter, 11(4), 221–236.
Sitharam, T. G., Dinesh, S. V., and Shimizu, N. (2002). “Micromechanical modelling of monotonic drained and undrained shear behaviour of granular media using three dimensional DEM.” Int. J. Numer. Anal. Methods Geomech., 26(12), 1167–1189.
Terzaghi, K., Peck, R. B., and Mesri, G. (1996). Soil mechanics in engineering practice, 3rd Ed., Wiley, London.
Thornton, C. (2000). “Numerical simulations of deviatoric shear deformation of granular media.” Geotechnique, 50(1), 43–53.
Ting, J. M., Khwaja, M., Meachum, L. R., and Rowell, J. D. (1993). “An ellipse based discrete element model for granular materials.” Int. J. Numer. Anal. Methods Geomech., 17(9), 603–623.
Wang, Y., and Tonon, F. (2009). “Modeling triaxial test on intact rock using discrete element method with membrane boundary.” J. Eng. Mech., 1029–1037.
Wellmann, C., Lillie, C., and Wriggers, P. (2008). “Homogenization of granular material modeled by a three-dimensional discrete element method.” Comput. Geotech., 35(3), 394–405.
Widulinski, Ł., Kozicki, J., and Tejchman, J. (2009). “Numerical simulations of triaxial test with sand using DEM.” Arch. Hydroeng. Environ. Mech., 56(3–4), 149–172.
Xiang, J., Munjiza, A., and Latham, J. P. (2009). “Finite strain, finite rotation quadratic tetrahedral element for the combined finite-discrete element method.” Int. J. Numer. Methods Eng., 79(8), 946–978.
Zhao, D., Nezami, E. G., Hashash, M. A., and Ghaboussi, J. (2006). “Three dimensional discrete element simulation for granular materials.” Eng. Comput., 23(7), 749–770.
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Published In
International Journal of Geomechanics
Volume 14 • Issue 4 • August 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 3, 2013
Accepted: Oct 30, 2013
Published online: Nov 4, 2013
Published in print: Aug 1, 2014
Discussion open until: Aug 26, 2014
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