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Original Articles

Modelling rainfall-induced mudflows using FEMLIP and a unified hydro-elasto-plastic model with solid-fluid transition

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Pages 491-521 | Received 20 Dec 2015, Accepted 22 Jun 2016, Published online: 01 Aug 2016

References

  • Abe, K., Soga, K., & Bandara, S. (2014). Material point method for coupled hydromechanical problems. Journal of Geotechnical and Geoenvironmental Engineering, 140, 04013033 1–15.
  • Alonso, E. E., Gens, A., & Delahaye, C. (2003). Influence of rainfall on the deformation and stability of a slope in overconsolidated clays: A case study. Hydrogeology Journal, 11, 174–192.10.1007/s10040-002-0245-1
  • Alonso, E. E., Pereira, J. M., Vaunat, J., & Olivella, S. (2010). A microstructurally based effective stress for unsaturated soils. Géotechnique, 60, 913–925.10.1680/geot.8.P.002
  • Arairo, W., Prunier, F., Djéran-Maigre, I., & Darve, F. (2013). A new insight into modelling the behaviour of unsaturated soils. International Journal for Numerical and Analytical Methods in Geomechanics, 37, 2629–2654.
  • Au, S. W. C. (1998). Rain-induced slope instability in Hong Kong. Engineering Geology, 51, 1–36.10.1016/S0013-7952(98)00038-6
  • Balmforth, N. J., & Craster, R. V. (1999). A consistent thin layer theory for Bingham plastics. Journal of Non-Newtonian Fluid Mechanics, 84, 65–81.10.1016/S0377-0257(98)00133-5
  • Bandara, S., Ferrari, A., & Laloui, L. (2016). Modelling landslides in unsaturated slopes subjected to rainfall infiltration using material point method. International Journal for Numerical and Analytical Methods in Geomechanics, 40, 1358–1380.
  • Bardenhagen, S. G., & Kober, E. M. (2004). The generalized interpolation material point method. Computer Modeling in Engineering and Sciences, 5, 477–495.
  • Barnichon, J. D. (1998). Finite element modelling in structural and petroleum geology (Ph.D. Thesis). University of Liege, Liege.
  • Beuth, L., Wieckowski, Z., & Vermeer, P. A. (2011). Solution of quasi-static large-strain problems by the material point method. International Journal for Numerical and Analytical Methods in Geomechanics, 35, 1451–1465.
  • Bishop, A. W. (1959). Principle of effective stress. Teknisk Ukeblad, 106, 859–863.
  • Cascini, L., Cuomo, S., Pastor, M., Sorbino, G., & Piciullo, L. (2014). SPH run-out modelling of channelised landslides of the flow type. Geomorphology, 214, 502–513.10.1016/j.geomorph.2014.02.031
  • Chen, H., Dadson, S., & Chi, Y. (2006). Recent rainfall-induced landslides and debris flow in northern Taiwan. Geomorphology, 77, 112–125.10.1016/j.geomorph.2006.01.002
  • Coussot, P., Proust, S., & Ancey, C. (1996). Rheological interpretation of deposits of yield stress fluids. Journal of Non-Newtonian Fluid Mechanics, 66, 55–70.10.1016/0377-0257(96)01474-7
  • Daido, A. (1971). On the occurrence of mud-debris flow. Bulletin of the Disaster Prevention Research Institute, Kyoto University, 21, 109–135.
  • Darve, F., Servant, G., Laouafa, F., & Khoa, H. D. V. (2004). Failure in geomaterials: Continuous and discrete analyses. Computer Methods in Applied Mechanics and Engineering, 193, 3057–3085.10.1016/j.cma.2003.11.011
  • Dufour, F. (2002). Développements de la méthode des éléments finis avec des points d’intégration Lagrangiens: Applications à la géomécanique [Developments of the finite element method with Lagrangian integration points: application in the geomechanics] (Ph.D. Thesis). Ecole centrale de Nantes, Nante.
  • Dufour, F., & Pijaudier-Cabot, G. (2005). Numerical modelling of concrete flow: homogeneous approach. International Journal for Numerical and Analytical Methods in Geomechanics, 29, 395–416.10.1002/(ISSN)1096-9853
  • Duvaut, G., & Lions, J. L. (1972). Transfert de Chaleur Dans un fluide de Bingham dont la viscosité dépend de la température [Heat transfer in a Bingham's fluid whose viscosity depends on the temperature]. Journal of Functional Analysis, 11, 93–110.10.1016/0022-1236(72)90081-X
  • Feng, M., & Fredlund, D. G. (1999). Hysteretic influence associated with thermal conductivity sensor measurements. Proceedings from Theory to the Practice of Unsaturated Soil Mechanics in Association with the 52nd Canadian Geotechnical Conference and the Unsaturated Soil Group, Regina, Sask, 14, 14–20.
  • Fleureau, J. M., Verbrugge, J.-C., Huergo, P. J., Gomez Correia, A., & Kheirbek-Saoud, S. (2002). Aspects of the behaviour of compacted clayey soils on drying and wetting paths. Canadian Geotechnical Journal, 39, 1341–1357.10.1139/t02-100
  • Fredlund, D. G., & Xing, A. (1994). Equations for the soil-water characteristic curve. Canadian Geotechnical Journal, 31, 521–532.10.1139/t94-061
  • Gallipoli, D., Gens, A., Sharma, R., & Vaunat, J. (2003). An elasto-plastic model for unsaturated soil incorporating the effects of suction and degree of saturation on mechanical behaviour. Géotechnique, 53, 123–135.10.1680/geot.2003.53.1.123
  • Harlow, F. H. (1964). The particle-in-cell computing method for fluid dynamics. Computer Methods in Physics, 3, 319–343.
  • Hughes, T. J. R. (1987). The finite element method. Englewood Cliffs, NJ: Prentice-Hall Inc.
  • Khoa, H. D. V. (2005). Modélisation des glissements de terrain comme un problème de bifurcation [Modelling landslides as a bifurcation problem] (Ph.D. Thesis). Institut National Polytechnique de Grenoble, Grenoble.
  • Khoa, H. D. V., Georgopoulos, I. O., Darve, F., & Laouafa, F. (2006). Diffuse failure in geomaterials. Computers and Geotechnics, 33, 7–14.
  • Laouafa, F., Prunier, F., Daouadji, A., Al Gali, H., & Darve, F. (2011). Stability in geomechanics, experimental and numerical analyses. International Journal for Numerical and Analytical Methods in Geomechanics, 35, 112–139.10.1002/nag.996
  • Li, Z. H., Dufour, F., & Darve, F. (2016). Hydro-elasto-plastic modelling with a solid/fluid transition. Computers and Geotechnics., 75, 69–79.
  • Moresi, L. N., & Solomatov, V. S. (1995). Numerical investigation of 2D convection with extremely large viscosity variations. Physics of Fluids, 7, 2154–2162.10.1063/1.868465
  • Moresi, L., Dufour, F., & Mühlhaus, H.-B. (2002). Mantle convection modeling with viscoelastic/brittle lithosphere: Numerical methodology and plate tectonic modeling. Pure and Applied Geophysics, 159, 2335–2356.10.1007/s00024-002-8738-3
  • Moresi, L., Dufour, F., & Mühlhaus, H.-B. (2003). A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials. Journal of Computational Physics, 184, 476–497.10.1016/S0021-9991(02)00031-1
  • Mualem, Y. (1974). A conceptual model of hysteresis. Water Resources Research, 10, 514–520.10.1029/WR010i003p00514
  • Nakata, Y., Liu, D., Hyodo, M., Yoshimoto, N., & Kato, Y. (2010). Numerical simulation of an expressway embankment slope failure. Unsaturated Soil: Theoretical and Numerical Advances in Unsaturated Soil Mechanics. Newcastle, Australia, 719–724.
  • Nicot, F., Dauuadji, A., Laouafa, F., & Darve, F. (2010). Second-order work, kinetic energy and diffuse failure in granular materials. Granular Matter, 13, 19–28.
  • Parlange, J.-Y. (1980). Water Transport in Soils. Annual Review of Fluid Mechanics, 12, 77–102.10.1146/annurev.fl.12.010180.000453
  • Pastor, M., Blanc, T., Haddad, B., Drempetic, V., Morles, M. S., Dutto P., … Fernanez Merodo, J. A. (2015). Depth averaged models for fast landslide propagation: Mathematical, rheological and numerical aspects. Archives of Computational Methods in Engineering, 22, 67–104.10.1007/s11831-014-9110-3
  • Petley, D. (2012). Global patterns of loss of life from landslides. Geology, 40, 927–930.10.1130/G33217.1
  • Prime, N. (2012). Modélisation de la transition solide-fluide dans les géomatériaux. Application aux glissements de terrain [Modelling the solid-fluid transition in geomaterials. Application in landslides] (Ph.D. Thesis). Institut National Polytechnique de Grenoble, Grenoble.
  • Prime, N., Dufour, F., & Darve, F. (2013). Unified model for geomaterial solid/fluid states and the transition in between. Journal of Engineering Mechanics, 140, 682–694.10.1061/(ASCE)EM.1943-7889.0000742
  • Prime, N., Dufour, F., & Darve, F. (2014). Solid-fluid transition modelling in geomaterials and application to a mudflow interacting with an obstacle. International Journal for Numerical and Analytical Methods in Geomechanics, 38, 1341–1361.10.1002/nag.2260
  • Prunier, F. (2008). Modélisation des instabilities en géomécanique, application aux glissements de terrain [Modelling instabilities in geomechanics, application in the landslides] (Ph.D. Thesis). Institut National Polytechnique de Grenoble, Grenoble.
  • Prunier, F., Laouafa, F., Lignon, S., & Darve, F. (2009). Bifurcation modeling in geomaterials: From the second-order work criterion to spectral analyses. International Journal for Numerical and Analytical Methods in Geomechanics, 33, 1169–1202.10.1002/nag.v33:9
  • Scholtès, L., Hicher, P.-Y., Nicot, F., Chareyre, B., & Darve, F. (2009). On the capillary stress tensor in wet granular materials. International Journal for Numerical and Analytical Methods in Geomechanics, 33(10), 1289–1313.10.1002/nag.v33:10
  • Scholtès, L., Chareyre, B., Nicot, F., & Darve, F. (2009). Micromechanics of granular materials with capillary effects. International Journal of Engineering Science, 47, 64–75.10.1016/j.ijengsci.2008.07.002
  • Sheng, D., Sloan, S. W., & Gens, A. (2004). A constitutive model for unsaturated soils: Thermomechanical and computational aspects. Computational Mechanics, 33, 453–465.10.1007/s00466-003-0545-x
  • Soga, A., Alonso, E., Yerro, A., Kumar, K., & Bandara, S. (2015). Trends in large deformation analysis of landslide mass movement. Géotechnique, 00, 1–23.
  • Taylor, D. (1948). Fundamentals of soil mechanical. London: Wiley.
  • van der Vorst H. A. (1992). Bi-CGSTAB: A fast and smoothly converging variant of bi-cg for the solution of nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing, 13, 631–644.10.1137/0913035
  • Van Eekelen, H. A. M. (1980). Isotropic yield surface in three dimensions for use in soil mechanics. International Journal for Numerical and Analytical Methods in Geomechanics, 4, 89–101.
  • Van Genuchten, M. T. (1980). A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal, 44, 892–898.10.2136/sssaj1980.03615995004400050002x
  • Wheeler, S. J., Sharma, R. J., & Buisson, M. S. R. (2003). Coupling of hydraulic hysteresis and stress–strain behaviour in unsaturated soils. Géotechnique, 53(1), 41–54.10.1680/geot.2003.53.1.41
  • Zhang, X., Krabbenhoft, K., Sheng, D., & Li, W. (2015). Numerical simulation of a flow-like landslide using the particle finite element method. Computational Mechanics, 55, 167–177.10.1007/s00466-014-1088-z

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