DOI QR코드

DOI QR Code

Failure mechanisms in coupled soil-foundation systems

  • Hadzalic, Emina (Universite de Technologie de Compiegne/Sorbonne Universites, Laboratoire Roberval de Mecanique, Centre de Recherche Royallieu) ;
  • Ibrahimbegovic, Adnan (Universite de Technologie de Compiegne/Sorbonne Universites, Laboratoire Roberval de Mecanique, Centre de Recherche Royallieu) ;
  • Dolarevic, Samir (Faculty of Civil Engineering, University of Sarajevo)
  • Received : 2017.02.25
  • Accepted : 2017.03.21
  • Published : 2018.02.25

Abstract

Behavior of soil is usually described with continuum type of failure models such as Mohr-Coulomb or Drucker-Prager model. The main advantage of these models is in a relatively simple and efficient way of predicting the main tendencies and overall behavior of soil in failure analysis of interest for engineering practice. However, the main shortcoming of these models is that they are not able to capture post-peak behavior of soil nor the corresponding failure modes under extreme loading. In this paper we will significantly improve on this state-of-the-art. In particular, we propose the use of a discrete beam lattice model to provide a sharp prediction of inelastic response and failure mechanisms in coupled soil-foundation systems. In the discrete beam lattice model used in this paper, soil is meshed with one-dimensional Timoshenko beam finite elements with embedded strong discontinuities in axial and transverse direction capable of representing crack propagation in mode I and mode II. Mode I relates to crack opening, and mode II relates to crack sliding. To take into account material heterogeneities, we determine fracture limits for each Timoshenko beam with Gaussian random distribution. We compare the results obtained using the discrete beam lattice model against those obtained using the modified three-surface elasto-plastic cap model.

Keywords

Acknowledgement

Supported by : French Ministry of Foreign Affairs, French Embassy

References

  1. Benkemoun, N., Hautefeuille, M., Colliat J.B. and Ibrahimbegovic, A. (2010), "Failure of heterogeneous materials: 3D meso-scale FE models with embedded discontinuities", J. Numer. Meth. Eng., 2010(82), 1671-1688.
  2. Benkemoun, N., Ibrahimbegovic, A. and Colliat, J.B. (2010), "Anisotropic constitutive model of plasticity capable of accounting for details of meso-structure of two-phase composite material", Comput. Struct., 2012(90), 153-162.
  3. Callari, C. and Armero, F. (2004), "Analysis and numerical simulation of strong discontinuities in finite strain poroplasticity", Comput. Meth. Appl. Mech. Eng., 2004(193), 2941-2986.
  4. Callari, C., Armero, F. and Abati, A. (2010), "Strong discontinuities in partially saturated poroplastic solids", Comput. Meth. Appl. Mech. Eng., 2010(199), 1513-1535.
  5. Chore, H.S. (2014), "Interactive analysis of a building fame resting on pile foundation", Coupled Syst. Mech., 2014(3), 367-384.
  6. Chore, H.S. and Siddiqui, M.J. (2016), "Soil-structure interaction analysis of a building frame supported on piled raft", Coupled Syst. Mech., 2016(5), 41-58.
  7. Conte, E., Donato, A. and Torncone, A. (2013), "Progressive failure analysis of shallow foundations on soils with strain-softening behaviour", Comput. Geotech., 2013(54), 117-124.
  8. Conte, E., Silvestri F. and Torncone A. (2010), "Stability analysis of slopes in soils with strain-softening behaviour", Comput. Geotech., 2010(37), 710-722.
  9. DiMaggio, F.L. and Sandler, I.S. (1971), "Material models for granular soils", J. Eng. Mech. Div., 1971(97), 935-950.
  10. Do, X.N., Ibrahimbegovic, A. and Brancherie, D. (2015), "Combined hardening and localized failure with softening plasticity in dynamics", Coupled Syst. Mech., 2015(4), 115-136.
  11. Doherty, J.P. and Muir Wood, D. (2015), "An extended Mohr-Coulomb (EMC) model for predicting the settlement of shallow foundations on sand, Geotech., 2013(63), 661-673.
  12. Dolarevic, S. and Ibrahimbegovic, A. (2008), "Nonlinear behavior of soil as the source of structure damages", Proceedings of the NATO-ARW Damage Assessment and Reconstruction after Natural Disasters and Previous Military Activities, Sarajevo, October.
  13. Dolarevic, S. and Ibrahimbegovic, A. (2007), "A modified three-sruface elasto-plastic cap model and its numerical implementation", Comput. Struct., 2007(85), 419-430.
  14. Edelsbrunner, H. (2001), Geometry and Topology for Mesh Generation, Cambridge University Press.
  15. Geuzaine, C. and Remache, J.F. (2009), "Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities", J. Numer. Meth. Eng., 2009(79), 1309-1331.
  16. Hofstetter, G., Simo, J.C. and Taylor, R.L. (1993), "A modified cap model: Closest point solution alghoritms", Comput. Struct., 1993(48), 203-214.
  17. Ibrahimbegovic, A. (2009), Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods, Springer.
  18. Ibrahimbegovic, A., Colliat, J.B., Hautefeuille, M., Brancherie, D. and Melnyk S. (2010), "Probability based size effect representation for failure in civil engineering structures built of heterogeneous materials", Comput. Meth. Stochast. Dyn., 2010(22), 291-313.
  19. Ibrahimbegovic, A. and Delaplace, A. (2003), "Microscale and mesocale discrete models for dynamic fracture of structures built of brittle material", Comput. Struct., 2003(81), 1255-1265.
  20. Ibrahimbegovic, A., Markovic, D. and Gatuingt, F. (2003), "Constitutive model of coupled damageplasticity and its finite element implementation", Revue Eurpeenne des Elements Finis, 2003(12), 381-405.
  21. Imamovic, I., Ibrahimbegovic, A., Knopf-Lenoir, C. and Mesic, E. (2015), "Plasticity-damage model parameters identification for structural connections", Coupled Syst. Mech., 2015(4), 337-364.
  22. Nikolic, M. and Ibrahimbegovic, A. (2015), "Rock mechanics model capable of representing initial heterogeneities and full set of 3D failure mechanisms", Comput. Meth. Appl. Mech. Eng., 2015(290), 209-227.
  23. Nikolic, M., Ibrahimbegovic, A. and Miscevic, P. (2015), "Brittle and ductile failure of rocks: Embedded discontinuity approach for representing mode I and mode II failure mechanisms", J. Numer. Meth. Eng., 2015(102), 1507-1526.
  24. Saksala, T., Brancherie, D., Harari, I. and Ibrahimbegovic, A. (2015), "Combined continuum damageembedded discontinuity model for explicit dynamic fracture analyses of quasi-brittle materials", J. Numer. Meth. Eng., 2015(101), 230-250.
  25. Saksala, T., Brancherie, D. and Ibrahimbegovic, A. (2016), "Numerical modeling of dynamic rock fracture with a combined 3D continuum viscodamage-embedded discontinuity model", J. Numer. Anal. Meth. Geomech., 2016(40), 1339-1357.
  26. Saksala, T. and Ibrahimbegovic, A. (2014), "Anisotropic viscodamage-viscoplastic consistency constitutive model with a parabolic cap for rocks with brittle and ductile behavior", J. Rock Mech. Min. Sci., 2014(70), 460-473.
  27. Schanz, T., Vermeer, P.A. and Bonnier, P.G. (1999), "The Hardening soil model: Formulation and verification", Proceedings of the Plaxis-Symposium: Beyond 2000 in Computational Geotechnics, Amsterdam, 1999, 281-296.
  28. Truty, A. and Obrzud, R. (2015), "Improved formulation of the hardening soil model in the context of modeling the undrained behavior of cohesive soils", Stud. Geotech. Mech., 2015(37), 61-68.
  29. Zienkiewicz, O.C. and Taylor, R.L. (2005), The Finite Element Method, Vols. I, II, III, Elsevier.

Cited by

  1. Geometrically exact initially curved Kirchhoff's planar elasto-plastic beam vol.8, pp.6, 2019, https://doi.org/10.12989/csm.2019.8.6.537
  2. 3D thermo-hydro-mechanical coupled discrete beam lattice model of saturated poro-plastic medium vol.9, pp.2, 2018, https://doi.org/10.12989/csm.2020.9.2.125