Skip to main content
Log in

Numerical modeling of large deformations in soil structure interaction problems using FE, EFG, SPH, and MM-ALE formulations

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

Present design practice for soil structure interaction (SSI) problems most frequently assumes linear elastic properties of the soil and disregards geometrical nonlinearities, treating the displacements as small. However, there are numerous problems that require a more advanced approach. This paper presents an application of such numerical approaches to modeling SSI problems in the presence of large soil deformations. Simulations using Lagrangian finite element, element-free Galerkin, smoothed particle hydrodynamics (SPH), and multi-material arbitrary Lagrangian Eulerian (MM-ALE) approaches were performed for two previously conducted experimental tests: (1) large-scale steel pad penetration into silty clay with sand and (2) standard cone penetration test performed on poorly graded sand. In this paper, the usefulness and the efficiency of the methods was assessed in terms of modeling robustness and computational cost. Results show that to some extent each of the utilized methods is able to capture large deformations. However, the most robust turned out to be SPH and MM-ALE methods as the only two that were successful in simulating both experiments.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Foster W.A., Johnson C.E., Chiroux R.C., Way T.R.: Finite element simulation of cone penetration. Int. J. Appl. Math. Comput. 162(2), 735–749 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  2. Huang W., Sheng D., Sloan S.W., Yu H.S.: Finite element analysis of cone penetration in cohesionless soil. Comput. Geotech. 31, 517–528 (2004)

    Article  Google Scholar 

  3. Susila E., Hryciw R.: Large displacement FEM modelling of the cone penetration test (CPT) in normally consolidated sand. Int. J. Numer. Anal. Methods Geomech. 27, 585–602 (2003)

    Article  MATH  Google Scholar 

  4. Tekeste M.Z., Raper R.L., Tollner E.W., Way T.R.: Finite element analysis of cone penetration in soil for prediction of hardpan location. Trans. ASABE 50(1), 23–31 (2007)

    Article  Google Scholar 

  5. Benson D.J.: Computational methods in Lagrangian and Eulerian hydrocodes. Comput. Methods Appl. Mech. 99(2-3), 235–394 (1990). doi:10.1016/0045-7825(92)90042-I

    Article  MathSciNet  Google Scholar 

  6. Donea, J., Huerta, A., Ponthot, J.-P., Rodriguez-Ferran, A.: Arbitrary Lagrangian–Eulerian Methods. Encyclopedia of Computational Mechanics. Wiley, New York (2004). doi:10.1002/0470091355.ecm009

  7. Hallquist, J.O.: LS-DYNA® Theory Manual. Livermore Software Technology Corporation, Livermore, California (2006)

  8. Qiu G.: Application of a coupled Eulerian–Lagrangian approach on geomechanical problems involving large deformations. Comput. Geotech. 38, 30–39 (2011). doi:10.1016/j.compgeo.2010.09.002

    Article  Google Scholar 

  9. Li S., Liu W.K.: Meshfree and particle methods and their applications. Appl. Mech. 55(1), 1–34 (2002). doi:10.1115/1.1431547

    Google Scholar 

  10. Gingold R.A., Monaghan J.J.: Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon. Not. R. Astron. Soc. 181, 375–389 (1977)

    MATH  Google Scholar 

  11. Liu G.R., Liu M.B.: Smoothed Particle Hydrodynamics: A Meshfree Particle Method. World Scientific, Singapore (2003)

    Book  Google Scholar 

  12. Belytschko T., Lu Y.Y., Gu L.: Element-free Galerkin methods. Int. J. Numer. Methods Eng. 37, 229–256 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  13. Naroles B., Touzot G., Villon P.: Generalization the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10, 307–318 (1992)

    Article  Google Scholar 

  14. Schwer, L.: Soils and Foams Model Case Study: Quasi-Static Soil Penetration Test. Schwer Engineering and Consulting Services, Windsor, CA (2002)

  15. Marzougui, D., et al.: Evaluation of rail height effects on the safety performance of W-beam barriers. In: 6th European LS-DYNA Users’ Conference, Gothenburg, Sweden (2007)

  16. Fasanella, E.L., Lyle, R.K.H., Jackson, K.E.: Developing Soil Models for Dynamic Impact Simulations. NASA Langley Research Center, Hampton, VA (2009)

  17. Timmers, R.B., Hardy, R.C., Welch, J.V.: Modeling and Simulation of the Second-Generation Orion Crew Module Air Bag Landing System. 20th AIAA Aerodynamic Decelerator Systems Technology Conference and Seminar, Seattle, Washington, 4-9 May 2009

  18. Contreras, M.T., Trease, B.P., Bojanowski, C., Kulak, R.: Characterizing wheel-soil interaction loads using meshfree finite element methods: a sensitivity analysis for design studies. In: 54th AIAA/ASME/ASCE/AHS/ASC Conference, Boston MA (2013)

  19. Krieg, R.D.: A Simple Constitutive Description for Soils and Crushable Foams, Sandia National Laboratories Report, SC-DR-72–0833, Albuquerque, NM (1978)

  20. Pearman, B.K.: Front and Rear Tractor Tire Effects on Soil Compaction and Compaction, MS Thesis. Auburn University, Auburn, AL (1996)

  21. Bailey A.C., Johnson C.E.: A soil compaction model for cylindrical stress states. Trans. ASAE 32(3), 822–825 (1989)

    Article  Google Scholar 

  22. Bailey, A.C., Johnson, C.E.: Soil Critical State Behavior in the NSDL-AU Model, ASAE 96-1064, St. Joseph MI (1996)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cezary Bojanowski.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bojanowski, C. Numerical modeling of large deformations in soil structure interaction problems using FE, EFG, SPH, and MM-ALE formulations. Arch Appl Mech 84, 743–755 (2014). https://doi.org/10.1007/s00419-014-0830-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-014-0830-5

Keywords

Navigation