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Original Articles

3-D elasto-plastic spectral element application to evaluate the stability of large-scale landslides

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Pages 271-289 | Received 04 Sep 2013, Accepted 04 Nov 2014, Published online: 05 Feb 2015

References

  • Babuska, I. and Suri, M., 1990. The p- and h-p versions of the finite element method, an overview. Computer Methods in Applied Mechanics and Engineering, 80 (1–3), 5–26.
  • Berilgen, M.M., 2007. Investigation of stability of slopes under drawdown conditions. Computers and Geotechnics, 34, 81–91.
  • Chen, J.X., Ke, P.Z. and Zhang, G., 2007. Slope stability analysis by strength reduction elasto-plastic FEM. Key Engineering Materials, 345–346, 625–628.
  • Chung, A.K., 2003. On the boundary conditions in slope stability analysis. International Journal for Numerical and Analytical Methods in Geomechanics, 27 (11), 905–926.
  • Dawson, E.M., Roth, W.H. and Drescher, A., 1999. Slope stability analysis by strength reduction. Geotechnique, 49 (6), 835–840.
  • Duan, Q.W., Wang, Y.J. and Zhang, P.W., 2008. Landslides and engineered slopes from the past to the future. In: Z.Y. Chen, J.M. Zhang, K. Ho, eds. Proceedings of the 10th international symposium on landslides and enginered slopes, 30 June – 4 July 2008 Xi’an, China. London: CRC Press.
  • Duncan, J.M. and Dunlop, P., 1969. Slopes in stiff-fissured clays and shales. Journal of soil mechanics and foundation division, ASCE, 95, 467–492.
  • Fredlund, D.G. and Scoular, R.E.G., 1999. Using limit equilibrium concepts in finite-element method slope stability analysis. Proceeding of the international symposium on slope stability Engineering-IS-Snikoku’99, 8–11 November 1999, Matsuyama, Shikoku, Japan. Rotterdam: Balkema, 31–47.
  • Gharti, H.N., Komatitsch, D., Oye, V., Martin, R. and Tromp, J., 2012. Application of an elasto-plastic spectral-element method to 3D slope stability analysis. International Journal for Numerical Methods in Engineering, 91 (1), 1–26.
  • Griffiths, D.V., Huang, J. and de Wolfe, G.F., 2011. Numerical and analytical observations on long and infinite slopes. Internation Journal for Numerical and Analytical Methods in Geomechanics, 35, 569–585.
  • Griffiths, D.V. and Lane, P.A., 1999. Slope stability analysis by finite elements. Geotechnique, 49, 387–403.
  • Griffiths, D.V. and Marquez, R.M., 2007. Three-dimensional slope stability analysis by elasto-plastic finite elements. Geotechnique 57 (6), 537–546.
  • Gurung, N., Haneberg, W.C., Romana, G.V. and Datta, M., 2011. Engineering Geology and stability of the Laprak landslide, Gorkha district, western Nepal. Environmental and Engineering Geoscience, The geological society of America, 12 (1), 23–38.
  • Hammah, R., Yacoub, T., Corkum, B. and Curran, J., 2005. A comparison of finite-element slope stability analysis with conventional limit-equilibrium investigation. Proceedings of the 58th Canadian Geotechnical and 6th Joint IAH-CNC and CGS groundwater specialty Conferences, Geosask 2005, 18–21 September, 2005, Saskatoon, Canada. Ottawa: NRC Research Press, 663–669.
  • Huang, M.S. and Jia, C.Q., 2009 Strength reduction FEM in stability analysis of soil slope subjected to transient unsaturated seepage. Computer and Geotechnics, 36 (1–2), 93–101.
  • Indiana University, 2013. The open MPI project 2004-2013: Open source high performance computing. Available from: http://www.open-mpi.org [Accessed 4 November 2014].
  • Ke, Z., Ping, C., Yao, L.Z., Hui-hua, H. and Dao-ping, G., 2011. Simulation analysis on three-dimensional slope failure under different conditions, Trans. Nonferrous Metal Society of China, 21 (11), 2490–2502.
  • Kitware inc, 2013. Paraview. Available from: http://www.paraview.org [Accessed 4 November 2014].
  • Komatitsch, D. and Tromp, J., 1999. Introduction to the spectral element method for three-dimensional seismic wave propagation. Geophysical Journal International, 139 (3), 806–822.
  • Komatitsch, D. and Tromp, J., 2002. Spectral-element simulations of global seismic wave propagation- I. Validation. Geophysical Journal International, 149 (2), 390–412.
  • Krahenbuhl, J. and Wagner, A., 1983. Survey, design, and construction of trail suspension bridges for remote areas, SKAT. St. Gallen, Switzerland: Swiss Center for Appropriate Technology.
  • Lane, P.A. and Griffiths, D.V., 2000. Assessment of stability of slopes under draindown conditions. Journal of Geotech Geoenvironment Engineering, ASCE, 126, 443–450.
  • Matsui, T. and San, K.C., 1992. Finite element slope stability analysis by strength reduction technique. Soils and Foundation, 32 (1), 59–70.
  • Oka, F., Higo, Y. and Kimoto, S., 2002. Effect of dilatancy on the strain localization of water-saturated elasto-viscoplastic soil. International Journal of Solids and Structures, 39, 3625–3647.
  • Patera, A.T., 1984. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics, 54 (3), 468–488.
  • Pellegrini, F. and Roman, J., 1996. SCOTCH: A software package for static mapping by dual recursive bipartitioning of process and architecture graphs. Lecture Notes in Computer Science, 1067, 493–498.
  • Pelligrini, F., 2010. SCOTCH and LIBSCOTCH 5.1 user’s guide [online]. Talence, Universite Bordeaux I https://gforge.inria.fr/docman/view.php/248/7104/scotch_user5.1.pdf
  • Peter, D., Komatitsch, D., Luo, Y., Martin, R., Le Goff, N., Casarotti, E., Le Loher, P., Magnoni, F., Gosselet, P. and Rey, C., 2007. Non-overlapping domain decomposition methods in structural mechanics. Archives of Computational Methods in Engineering, 13 (4), 515–572.
  • Price, M.A. and Armstrong, C.G., 1997. Hexahedral mesh generation by medial surface subdivision: part II. Solids with flat and concave edges. International Journal for Numerical Methods in Engineering, 40, 111–136.
  • Pudasaini, S.P., 2012. A general two-phase debris flow model. Journal of Geophysical Research, 117, F03010. Available from: http://dx.doi.org/10.1029/2011JF002186 [Accessed 4 November 2014].
  • Pudasaini, S.P. and Hutter, K., 2007. Avalanche Dynamics: Dynamics of Rapid Flows of Dense Granular Avalances. New York: Springer.
  • Pudasaini, S.P. and Miller, S.A., 2013. The hypermobility of huge landslides and avalenches. Engineering Geoloogy, 157, 124–132.
  • Pyke, R., 2010. Selection of seismic coefficients for use in pseudo-static slope stability analyses. Available from: http://www.tagasoft.com [Accessed 4 November 2014].
  • Schwab, C., 1999. P- and hp- finite element methods: theory and applications to solid and fluid mechanics. Oxford: Oxford University Press.
  • Sandia National Laboratory, 2012. CUBIT 13.0 Users documentation. Available from: http://www.cubit.sandia.gov [Accessed 4 November 2014].
  • Serini, G., 1994. 3-D large-scale wave propagation modelling by spectral-element method on Cray T3E multiprocessor. Computer Methods in Applied Mechanics and Engineering, 164 (1–2), 235–247.
  • Shepherd, J. and Johnson, C., 2008. Hexahedral mesh generation constraints. Engineering with Computers, 24 (3), 195–213.
  • Smith, I.M. and Griffiths, D.V., 2004. Programming the finite element method. 4th ed. West Sussex, UK: Wiley.
  • Sobh, N.A. and Gustafson, K., 1991. Preconditioned conjugate gradient and finite element methods for massively data-parallel architectures. Computer Physics Communications, 65 (1–3), 253–267.
  • Su, L.J., Yin, J.H. and Zhou, W.H., 2010. Influences of overburden pressure and soil dilation on soil nail pullout resistance. Computers and Geotechnics, 37, 555–564.
  • Tautges, T.J., 2001. The generation of hexahedral meshes for assembly geometry: survey and progress. International Journal for Numerical Methods in Engineering, 50 (12), 2617–2642.
  • Taylor, M.A. and Wingate, B.A., 2000. A generalized diagonal mass matrix spectral element method for nonquadrilateral elements. Applied Numerical Mathematics, 33 (1–4), 259–265.
  • Terzaghi, K. (1950). Mechanism of landslides. In: J.L. Savage et al., eds. Applications of Geology to Engineering Practices. Berkeley Volume. Colorado: Geological Society of America, 83–123.
  • Tiwari, R.C., Bhandary, N.P., Yatabe, R. and Bhat, D.R., 2013. New numerical scheme in the finite element method for evaluating root-reinforcement effect on soil slope stability. Geotechnique, 63 (2), 129–139.
  • Tromp, J., Komatitsch, D. and Liu, Q., 2008. Spectral-element and adjoint methods in seismology. Communications in Computational Physics, 3 (1), 1–32.
  • Ugai, K. and Leschinsky, D., 1995. Three dimensional limit equilibrium and finite element analyses: a comparison of results. Soils and Foundations, 29 (4), 1–7.
  • Wei, W.B., Cheng, Y.M. and Li, L., 2009. Three-dimensional slope failure analysis by the strength reduction and limit equilibrium methods. Computers and Geotechnics, 36 (1–2), 70–80.
  • Zhang, K., Cao, P., Liu, Z., Hu, H. and Gong, D., 2011. Simulation analysis on three-dimensional slope failure under different conditions. Transitional Nonferrous Metal Society China, 21, 2490–2502.
  • Zienkiewicz, O.C., Humpheson, C. and Lewis, R.W., 1975. Associated and non-associated visco-plasticity and plasticity in soil mechanics. Geotechnique, 25, 671–689.
  • Zienkiewicz, O.C. and Taylor, R.L., 1967. The finite element method Volume 1: The basis. New York: McGraw-Hill.
  • Zienkiewicz, O.C. and Taylor, R.L., 2005. The finite element method for solid and structural mechanics. Oxford: Elsevier Butterworth-Heinemann.

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