Modelling of landslides with the material-point method. (English) Zbl 1185.76898

Summary: A numerical model for studying the dynamic evolution of landslides is presented. The numerical model is based on the Generalized Interpolation Material Point Method. A simplified slope with a house placed on top is analysed. An elasto-plastic material model based on the Mohr-Coulomb yield criterion is employed for the soil. The slide is triggered for the initially stable slope by removing the cohesion of the soil and the slide is followed from the triggering until a state of static equilibrium is again reached. Parameter studies, in which the angle of internal friction of the soil and the degree of discretisation are varied, are presented.


76T25 Granular flows
86A60 Geological problems


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[1] Duncan, J.M.: State of the art: limit equilibrium and finite-element analysis of slopes. J. Geotech. Eng. 122, 577–596 (1996)
[2] Chen, H., Lee, C.F.: A dynamic model for rainfall-induced landslides on natural slopes. Geomorphology 51, 269–288 (2004)
[3] Chien-Yuan, C., Fan-Chieh, Y., Sheng-Chi, L., Kei-Wai, C.: Discussion of landslide self-organized critically and the initiation of debris flow. Earth Surf. Processes Landf. 32, 197–209 (2007)
[4] Lacerda, W.A.: Landslide initiation in saprolite and colluvium in southern Brazil: field and laboratory observations. Geomorphology 87, 104–119 (2007)
[5] Bardenhagen, S.G., Kober, E.M.: The generalized interpolation material point method. CMES 5, 477–495 (2004)
[6] Sulsky, D., Chen, Z., Schreyer, H.L.: A particle method for history-dependent materials. Comput. Methods Appl. Mech. Eng. 118, 179–196 (1994) · Zbl 0851.73078
[7] Sulsky, D., Zhou, S.J., Schreyer, H.L.: Application of a particle-in-cell method to solid mechanics. Comput. Phys. Commun. 87, 236–252 (1995) · Zbl 0918.73334
[8] Hu, W., Chen, Z.: Model-based simulation of the synergistic effects of blast and fragmentation on a concrete wall using the MPM. Int. J. Impact Eng. 32, 2066–2096 (2006)
[9] Guilkey, J.E., Harman, T.H., Banerjee, B.: An Eulerian-Lagrangian approach for simulating explosions of energetic devices. Comput. Struct. 85, 660–674 (2007)
[10] Zhang, X., Sze, K.Y., Ma, S.: An explicit material point finite element method for hyper-velocity impact. Int. J. Numer. Methods Eng. 66, 689–706 (2006) · Zbl 1110.74861
[11] Guilkey, J.E., Hoying, J.B., Weiss, J.A.: Computational modelling of multicellular constructs with the material point method. J. Biomech. 39, 2074–2086 (2006)
[12] Bardenhagen, S.G., Brackbill, J.U., Sulsky, D.: The material-point method for granular materials. Comput. Methods Appl. Mech. Eng. 187, 529–541 (2000) · Zbl 0971.76070
[13] Cummins, S.J., Brackbill, J.U.: An implicit particle-in-cell method for granular materials. J. Comput. Phys. 180, 506–548 (2002) · Zbl 1143.74388
[14] Coetzee, C.J., Vermeer, P.A., Basson, A.H.: The modelling of anchors using the material point method. Int. J. Numer. Anal. Methods Geomech. 29, 879–895 (2005) · Zbl 1104.74040
[15] Coetzee, C.J., Basson, A.H., Vermeer, P.A.: Discrete and continuum modelling of excavator bucket filling. J. Terramechs. 44, 177–186 (2006)
[16] Zhou, S.J., Stormont, J., Chen, Z.: Simulation of geomembrane response to settlement in landfills by using the material point method. Int. J. Numer. Anal. Methods Geomechs. 23, 1977–1994 (1999) · Zbl 1078.74683
[17] Wieckowski, Z.: The material point method in large strain engineering problems. Comput. Methods Appl. Mech Eng. 193, 4417–4428 (2004) · Zbl 1068.74085
[18] Steffen, M., Kirby, R.M., Berzins, M.: Analysis and reduction of quadrature in the material point method (MPM). Int. J. Numer. Methods Eng. 76, 922–948 · Zbl 1195.74300
[19] Clausen, J., Damkilde, L., Andersen, L.: Efficient return algorithms for associated plasticity with multiple yield planes. Int. J. Numer. Methods Eng. 66, 1036–1059 (2006) · Zbl 1110.74869
[20] Bardenhagen, S.G.: Energy conservation error in the material point method for solid mechanics. J. Comput. Phys. 180, 383–403 (2002) · Zbl 1061.74057
[21] ABAQUS: ABAQUS–Version 6.4 2003. ABAQUS, Pawtucket (2003)
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