Abstract
Landslides may cause many fatalities and heavy economic losses, so it is vital to understand their mechanics so as to take appropriate measures to mitigate their risk. Phenomenally, the loose soil behaves like frictional material in most circumstances, so Mohr-Coulomb type equations are often used to describe their movement. However, these models generally do not consider the influence of the shear-rate on the Mohr-Coulomb friction angle, so the shear-rate dependence effect on the soil flow and landslide runout is not well understood. This paper reports on an application of the incompressible Smoothed Particle Hydrodynamics (SPH) method to the dynamics of dry granular assemblies. The traditional model with a constant friction angle is compared with the modified Mohr-Coulomb model with a variable friction angle related to the shear-rate. It is found that the shear-rate dependence effect is negligible for shallow granular flows along mild slopes. With steeper slopes of the ground and larger aspect ratios of the initial soil column, the rate-dependence effect becomes more important.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Bui H, Fukagawa R (2008) Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model. International Journal for Numerical and Analytical Methods in Geomechanics 32(12):1537–1570. DOI:10.1002/nag
Campbell CS (2006) Granular material flows - An overview. Powder Technology 162(3):208–229. DOI:10.1016/j.powtec. 2005.12.008
Cruz FD, Emam S, Prochnow M, Roux J, Chevoir F (2005) Rheophysics of dense granular materials: Discrete simulation of plane shear flows. Physical Review E 72(021309): 1–17. DOI: 10.1103/PhysRevE.72.021309
Cummins SJ, Rudman M (1999) An SPH Projection Method. Journal of Computational Physics 152(2): 584–607. DOI: 10.1006/jcph.1999.6246
Forterre Y, Pouliquen O(2008) Flows of Dense Granular Media. Annual Review of Fluid Mechanics 40(1): 1–24. DOI: 10.1146/annurev.fluid.40.111406.102142
Fukagawa R, Sako K, Bui HH, Wells JC (2011) Slope stability analysis and discontinuous slope failure simulation by elastoplastic smoothed particle hydrodynamics (SPH). Géotechnique 61(7): 565–574. DOI: 10.1680/geot.9.P.046
Hartley RR, Behringer RP (2003) Logarithmic rate dependence of force networks in sheared granular materials. Nature 421(6926): 928–31. DOI: 10.1038/nature01394
Jop P, Forterre Y, Pouliquen O(2006) A constitutive law for dense granular flows. Nature 441(7094): 727–30. DOI: 10.1038/nature04801
Khayyer A, Gotoh H, Shao S (2009) Enhanced predictions of wave impact pressure by improved incompressible SPH methods. Applied Ocean Research 31(2): 111–131. DOI: 10.1016/j.apor.2009.06.003
Lacaze L, Kerswell R (2009) Axisymmetric Granular Collapse: A Transient 3D Flow Test of Viscoplasticity. Physical Review Letters 102(10): 108305. DOI: 10.1103/PhysRevLett.102.108305
Liang D (2010) Evaluating shallow water assumptions in dambreak flows. Proceedings of the ICE - Water Management 163(5): 227–237. DOI: 10.1680/wama.2010.163.5.227
Liang D, Thusyanthan I, Madabhushi SPG and Tang H (2010) Modelling solitary waves and its impact on coastal houses with SPH method. China ocean engineering 24(2): 353–368
Liu MB, Liu GR (2010) Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments. Archives of Computational Methods in Engineering 17(1): 25–76. DOI: 10.1007/s11831-010-9040-7
Lube G, Huppert H, Sparks R, Freundt A (2005) Collapses of two-dimensional granular columns. Physical Review E 72(4): 1–10. DOI: 10.1103/PhysRevE.72.041301
Lube G, Huppert HE, Sparks RSJ, & Freundt, A. (2011) Granular column collapses down rough, inclined channels. Journal of Fluid Mechanics 675(2011): 347–368. DOI: 10.1017/jfm.2011.21
Manenti S, Sibilla S, Gallati M (2011) SPH simulation of sediment flushing induced by a rapid water flow. Journal of Hydraulic Engineering 138(3): 272–284. DOI: 10.1061/(ASCE) HY.1943-7900.0000516.
Midi GDR (2004) On dense granular flows. The European Physical Journal. E, Soft Matter 14(4): 341–65. DOI: 10.1140/epje/i2003-10153-0
Monaghan J (1992) Smoothed Particle Hydrodynamics. Annual Review of Astronomy and Astrophysics 30(1): 543–574. DOI: 10.1146/annurev.astro.30.1.543
Namikawa T (2001) Delayed plastic model for time-dependent behaviour of materials. International Journal for Numerical and Analytical Methods in Geomechanics 25(6): 605–627. DOI: 10.1002/nag.144
Savage S, Hutter K (1989) The motion of a finite mass of granular material down a rough incline. Journal of Fluid Mechanics 199: 177–215. DOI: 10.1017/S0022112089000340
Shao S, Lo EYM (2003) Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Advances in Water Resources 26(7): 787–800. DOI: 10.1016/S0309-1708(03)00030-7
Thompson EL, Huppert HE (2007) Granular column collapses: further experimental results. Journal of Fluid Mechanics 575: 177. DOI: 10.1017/S0022112006004563
Ulrich C, Leonardi M, Rung T (2013) Multi-physics SPH simulation of complex marine-engineering hydrodynamic problems. Ocean Engineering 64: 109–121. DOI: 10.1016/j. oceaneng.2013.02.007
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liang, Df., He, Xz. A comparison of conventional and shear-rate dependent Mohr-Coulomb models for simulating landslides. J. Mt. Sci. 11, 1478–1490 (2014). https://doi.org/10.1007/s11629-014-3041-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11629-014-3041-1