Novel SPH SIMSAND–Based Approach for Modeling of Granular Collapse
Publication: International Journal of Geomechanics
Volume 18, Issue 11
Abstract
Granular collapse is a common issue in natural hazards. This paper proposes a novel numerical approach on modeling granular column collapse. A newly developed critical state–based constitutive model, SIMSAND, was adopted to combine with the smoothed particle hydrodynamics (SPH) method for realistically reproducing large deformation during collapse. A rectangular channel and two-dimensional column tests were first simulated for the validation. The effects of aspect ratio and initial soil density were further investigated by additional simulations. It was demonstrated that the novel SPH-SIMSAND approach is helpful in improving the understanding of granular collapse and should be an effective computational tool for the analysis of real-scale granular flow.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The financial support for this research came from the National Natural Science Foundation of China (Grants 41372285 and 51579179) and the Region Pays de la Loire of France (Project RI-ADAPTCLIM).
References
Balmforth, N., and R. Kerswell. 2005. “Granular collapse in two dimensions.” J. Fluid Mech. 538 (1): 399–428. https://doi.org/10.1017/S0022112005005537.
Bojanowski, C. 2014. “Numerical modeling of large deformations in soil structure interaction problems using FE, EFG, SPH, and MM-ALE formulations.” Arch. Appl. Mech. 84 (5): 743–755. https://doi.org/10.1007/s00419-014-0830-5.
Bui, H. H., R. Fukagawa, K. Sako, and S. Ohno. 2008. “Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic–plastic soil constitutive model.” Int. J. Numer. Anal. Methods Geomech. 32 (12): 1537–1570. https://doi.org/10.1002/nag.688.
Chen, W., and T. Qiu. 2012. “Numerical simulations for large deformation of granular materials using smoothed particle hydrodynamics method.” Int. J. Geomech. 12 (2): 127–135. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000149.
Crosta, G., S. Imposimato, and D. Roddeman. 2009. “Numerical modeling of 2‐D granular step collapse on erodible and nonerodible surface.” J. Geophys. Res. Earth Surf. 114 (F3): F03020. https://doi.org/10.1029/2008JF001186.
Daerr, A., and S. Douady. 1999. “Sensitivity of granular surface flows to preparation.” Europhys. Lett. 47 (3): 324–330. https://doi.org/10.1209/epl/i1999-00392-7.
Gingold, R. A., and J. J. Monaghan. 1977. “Smoothed particle hydrodynamics: Theory and application to non-spherical stars.” Mon. Not. R. Astron. Soc. 181 (3): 375–389. https://doi.org/10.1093/mnras/181.3.375.
Girolami, L., V. Hergault, G. Vinay, and A. Wachs. 2012. “A three-dimensional discrete-grain model for the simulation of dam-break rectangular collapses: Comparison between numerical results and experiments.” Granular Matter 14 (3): 381–392. https://doi.org/10.1007/s10035-012-0342-3.
Hibbitt, Karlsson and Sorensen. 2001. ABAQUS/explicit: User’s manual. Hibbitt, Karlsson and Sorensen Incorporated.
Jin, Y.-F., Z.-X. Wu, Z.-Y. Yin, and J. S. Shen. 2017. “Estimation of critical state-related formula in advanced constitutive modeling of granular material.” Acta Geotech. 12 (6): 1329–1351. https://doi.org/10.1007/s11440-017-0586-5.
Jin, Y.-F., Z.-Y. Yin, S.-L. Shen, and P.-Y. Hicher. 2016a. “Investigation into MOGA for identifying parameters of a critical-state-based sand model and parameters correlation by factor analysis.” Acta Geotech. 11 (5): 1131–1145. https://doi.org/10.1007/s11440-015-0425-5.
Jin, Y. F., Z. Y. Yin, S. L. Shen, and P. Y. Hicher. 2016b. “Selection of sand models and identification of parameters using an enhanced genetic algorithm.” Int. J. Numer. Anal. Methods Geomech. 40 (8): 1219–1240. https://doi.org/10.1002/nag.2487.
Kermani, E., T. Qiu, and T. Li. 2015. “Simulation of collapse of granular columns using the discrete element method.” Int. J. Geomech. 15 (6): 04015004. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000467.
Lacaze, L., J. C. Phillips, and R. R. Kerswell. 2008. “Planar collapse of a granular column: Experiments and discrete element simulations.” Phys. Fluids 20 (6): 063302. https://doi.org/10.1063/1.2929375.
Lajeunesse, E., A. Mangeney-Castelnau, and J. Vilotte. 2004. “Spreading of a granular mass on a horizontal plane.” Phys. Fluids 16 (7): 2371–2381. https://doi.org/10.1063/1.1736611.
Lajeunesse, E., J. Monnier, and G. Homsy. 2005. “Granular slumping on a horizontal surface.” Phys. Fluids 17 (10): 103302. https://doi.org/10.1063/1.2087687.
Li, S., and W. K. Liu. 2002. “Meshfree and particle methods and their applications.” Appl. Mech. Rev. 55 (1): 1–34. https://doi.org/10.1115/1.1431547.
Lube, G., H. E. Huppert, R. S. J. Sparks, and A. Freundt. 2005. “Collapses of two-dimensional granular columns.” Phys. Rev. E 72 (4): 041301. https://doi.org/10.1103/PhysRevE.72.041301.
Lube, G., H. E. Huppert, R. S. J. Sparks, and A. Freundt. 2007. “Static and flowing regions in granular collapses down channels.” Phys. Fluids 19 (4): 043301. https://doi.org/10.1063/1.2712431.
Lube, G., H. E. Huppert, R. S. J. Sparks, and M. A. Hallworth. 2004. “Axisymmetric collapses of granular columns.” J. Fluid Mech. 508: 175–199. https://doi.org/10.1017/S0022112004009036.
Nguyen, C. T., C. T. Nguyen, H. H. Bui, G. D. Nguyen, and R. Fukagawa. 2017. “A new SPH-based approach to simulation of granular flows using viscous damping and stress regularisation.” Landslides 14 (1): 69–81. https://doi.org/10.1007/s10346-016-0681-y.
Ortiz, M., and J. Simo. 1986. “An analysis of a new class of integration algorithms for elastoplastic constitutive relations.” Int. J. Numer. Methods Eng. 23 (3): 353–366. https://doi.org/10.1002/nme.1620230303.
Shen, S.-L., H.-N. Wu, Y.-J. Cui, and Z.-Y. Yin. 2014. “Long-term settlement behaviour of metro tunnels in the soft deposits of Shanghai.” Tunnelling Underground Space Technol. 40: 309–323. https://doi.org/10.1016/j.tust.2013.10.013.
Shen, S.-L., Y.-X. Wu, and A. Misra. 2017. “Calculation of head difference at two sides of a cut-off barrier during excavation dewatering.” Comput. Geotech. 91: 192–202. https://doi.org/10.1016/j.compgeo.2017.07.014.
Sheng, D., S. Sloan, and H. Yu. 2000. “Aspects of finite element implementation of critical state models.” Comput. Mech. 26 (2): 185–196. https://doi.org/10.1007/s004660000166.
Sołowski, W., and S. Sloan. 2015. “Evaluation of material point method for use in geotechnics.” Int. J. Numer. Anal. Methods Geomech. 39 (7): 685–701. https://doi.org/10.1002/nag.2321.
Soundararajan, K. K. 2015. Multi-scale multiphase modelling of granular flows. Cambridge, UK: Univ. of Cambridge.
Staron, L., and E. Hinch. 2005. “Study of the collapse of granular columns using two-dimensional discrete-grain simulation.” J. Fluid Mech. 545 (1): 1–27. https://doi.org/10.1017/S0022112005006415.
Utili, S., T. Zhao, and G. Houlsby. 2015. “3D DEM investigation of granular column collapse: Evaluation of debris motion and its destructive power.” Eng. Geol. 186: 3–16. https://doi.org/10.1016/j.enggeo.2014.08.018.
Wu, Y.-X., J. S. Shen, W.-C. Chen, and T. Hino. 2017a. “Semi-analytical solution to pumping test data with barrier, wellbore storage, and partial penetration effects.” Eng. Geol. 226: 44–51. https://doi.org/10.1016/j.enggeo.2017.05.011.
Wu, Y.-X., S.-L. Shen, and D.-J. Yuan. 2016. “Characteristics of dewatering induced drawdown curve under blocking effect of retaining wall in aquifer.” J. Hydrol. 539: 554–566. https://doi.org/10.1016/j.jhydrol.2016.05.065.
Wu, Z.-X., Z.-Y. Yin, Y.-F. Jin, and X.-Y. Geng. 2017b. “A straightforward procedure of parameters determination for sand: A bridge from critical state based constitutive modelling to finite element analysis.” Eur. J. Environ. Civ. Eng. https://doi.org/10.1080/19648189.2017.1353442.
Yao, Y., W. Hou, and A. Zhou. 2009. “UH model: Three-dimensional unified hardening model for overconsolidated clays.” Géotechnique 59 (5): 451–469. https://doi.org/10.1680/geot.2007.00029.
Yao, Y., D. Lu, A. Zhou, and B. Zou. 2004. “Generalized non-linear strength theory and transformed stress space.” Sci. China Ser. E: Technol. Sci. 47 (6): 691–709. https://doi.org/10.1360/04ye0199.
Yao, Y., D. Sun, and H. Matsuoka. 2008. “A unified constitutive model for both clay and sand with hardening parameter independent on stress path.” Comput. Geotech. 35 (2): 210–222. https://doi.org/10.1016/j.compgeo.2007.04.003.
Yin, Z. Y., and C. S. Chang. 2013. “Stress–dilatancy behavior for sand under loading and unloading conditions.” Int. J. Numer. Anal. Methods Geomech. 37 (8): 855–870. https://doi.org/10.1002/nag.1125.
Yin, Z.-Y., C. S. Chang, and P.-Y. Hicher. 2010. “Micromechanical modelling for effect of inherent anisotropy on cyclic behaviour of sand.” Int. J. Solids Struct. 47 (14–15): 1933–1951. https://doi.org/10.1016/j.ijsolstr.2010.03.028.
Yin, Z.-Y., P.-Y. Hicher, C. Dano, and Y.-F. Jin. 2017a. “Modeling mechanical behavior of very coarse granular materials.” J. Eng. Mech. 143 (1): C4016006. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001059.
Yin, Z.-Y., Y.-F. Jin, S.-L. Shen, and H.-W. Huang. 2017b. “An efficient optimization method for identifying parameters of soft structured clay by an enhanced genetic algorithm and elastic–viscoplastic model.” Acta Geotech. 12 (4): 849–867. https://doi.org/10.1007/s11440-016-0486-0.
Zenit, R. 2005. “Computer simulations of the collapse of a granular column.” Phys. Fluids 17 (3): 031703. https://doi.org/10.1063/1.1862240.
Zhang, X., K. Krabbenhoft, D. Sheng, and W. Li. 2015. “Numerical simulation of a flow-like landslide using the particle finite element method.” Comput. Mech. 55 (1): 167–177. https://doi.org/10.1007/s00466-014-1088-z.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 18 • Issue 11 • November 2018
Copyright
© 2018 American Society of Civil Engineers.
History
Received: Oct 19, 2017
Accepted: Apr 12, 2018
Published online: Sep 14, 2018
Published in print: Nov 1, 2018
Discussion open until: Feb 14, 2019
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.