Some Aspects of the Boundary Value Problems for the Cyclic Deformation of Soil

  • Vladimir A. Osinov
Chapter

Abstract

Some geotechnical installation processes such as vibratory pile driving or vibro-compaction of soils are characterised by a wide strain amplitude range in the soil, from several per cent and higher in the vicinity of the vibration source to vanishingly small amplitudes in the far field. The gradual accumulation of residual stresses and deformations after each small-amplitude cycle plays in such processes as important a role as large-amplitude cyclic deformation. The numerical simulation of such processes faces, among other difficulties, the necessity to model simultaneously large- and small-amplitude cyclic deformation with a large number of cycles. This imposes stringent requirements on the constitutive model. A problem of the large-amplitude vertical vibration of a pile in saturated soil, which belongs to the problems with a wide strain amplitude range, was solved earlier with two constitutive models: an incremental hypoplasticity model and a high-cycle accumulation model. Using this problem as an example, the present paper discusses the solution approaches and numerical and constitutive aspects of the problem, with particular attention to the accumulation effects in hypoplasticity.

Keywords

Cyclic deformation Hypoplasticity Pile vibration 

References

  1. 1.
    Chrisopoulos, S., Osinov, V.A., Triantafyllidis, T.: Dynamic problem for the deformation of saturated soil in the vicinity of a vibrating pile toe. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 80, pp. 53–67. Springer, Heidelberg (2016). doi:10.1007/978-3-319-23159-4_3 CrossRefGoogle Scholar
  2. 2.
    Gudehus, G.: A comprehensive constitutive equation for granular materials. Soils Found. 36(1), 1–12 (1996)CrossRefGoogle Scholar
  3. 3.
    Niemunis, A., Herle, I.: Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-frict. Mater. 2(4), 279–299 (1997)CrossRefGoogle Scholar
  4. 4.
    Niemunis, A., Wichtmann, T., Triantafyllidis, T.: A high-cycle accumulation model for sand. Comput. Geotech. 32, 245–263 (2005)CrossRefMATHGoogle Scholar
  5. 5.
    Osinov, V.A.: Wave-induced liquefaction of a saturated sand layer. Continuum Mech. Thermodyn. 12(5), 325–339 (2000)MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Osinov, V.A.: Large-strain dynamic cavity expansion in a granular material. J. Eng. Math. 52, 185–198 (2005)MathSciNetCrossRefMATHGoogle Scholar
  7. 7.
    Osinov, V.A.: Application of a high-cycle accumulation model to the analysis of soil liquefaction around a vibrating pile toe. Acta Geotech. 8, 675–684 (2013)CrossRefGoogle Scholar
  8. 8.
    Osinov, V.A.: Numerical modelling of the effective-stress evolution in saturated soil around a vibrating pile toe. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 77, pp. 133–147. Springer, Heidelberg (2015). doi:10.1007/978-3-319-18170-7_7 CrossRefGoogle Scholar
  9. 9.
    Osinov, V.A., Gudehus, G.: Dynamics of hypoplastic materials: theory and numerical implementation. In: Hutter, K., Kirchner, N. (eds.) Dynamic Response of Granular and Porous Materials Under Large and Catastrophic Deformations, pp. 265–284. Springer, Berlin (2003)CrossRefGoogle Scholar
  10. 10.
    Osinov, V.A., Chrisopoulos, S., Triantafyllidis, T.: Numerical study of the deformation of saturated soil in the vicinity of a vibrating pile. Acta Geotech. 8, 439–446 (2013)CrossRefGoogle Scholar
  11. 11.
    Osinov, V.A., Chrisopoulos, S., Grandas-Tavera, C.: Vibration-induced stress changes in saturated soil: a high-cycle problem. In: Triantafyllidis, T. (ed.) Holistic Simulation of Geotechnical Installation Processes. LNACM, vol. 80, pp. 69–84. Springer, Heidelberg (2016). doi:10.1007/978-3-319-23159-4_4 CrossRefGoogle Scholar
  12. 12.
    Wichtmann, T.: Explicit accumulation model for non-cohesive soils under cyclic loading. Dissertation, Publications of the Institute of Soil Mechanics and Foundation Engineering, Ruhr-University Bochum, vol. 38 (2005)Google Scholar
  13. 13.
    Wichtmann, T., Private communication (2016)Google Scholar
  14. 14.
    Wichtmann, T., Niemunis, A., Triantafyllidis, T.: On the determination of a set of material constants for a high-cycle accumulation model for non-cohesive soils. Int. J. Numer. Anal. Meth. Geomech. 34, 409–440 (2010)MATHGoogle Scholar
  15. 15.
    Wichtmann, T., Niemunis, A., Triantafyllidis, T.: On the ‘elastic’ stiffness in a high-cycle accumulation model for sand: a comparison of drained and undrained cyclic triaxial tests. Can. Geotech. J. 47(7), 791–805 (2010)CrossRefGoogle Scholar
  16. 16.
    Wichtmann, T., Niemunis, A., Triantafyllidis, T.: On the ‘elastic stiffness’ in a high-cycle accumulation model - continued investigations. Can. Geotech. J. 50(12), 1260–1272 (2013)CrossRefGoogle Scholar
  17. 17.
    Wichtmann, T., Niemunis, A., Triantafyllidis, T.: Improved simplified calibration procedure for a high-cycle accumulation model. Soil Dyn. Earthq. Eng. 70, 118–132 (2015)CrossRefGoogle Scholar
  18. 18.
    von Wolffersdorff, P.A.: A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-frict. Mater. 1(3), 251–271 (1996)CrossRefGoogle Scholar
  19. 19.
    Zienkiewicz, O.C., Chang, C.T., Bettess, P.: Drained, undrained, consolidating and dynamic behaviour assumptions in soils. Géotechnique 30(4), 385–395 (1980)CrossRefGoogle Scholar
  20. 20.
    Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A., Shiomi, T.: Computational Geomechanics with Special Reference to Earthquake Engineering. Wiley, Chichester (1999)MATHGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Vladimir A. Osinov
    • 1
  1. 1.Institute of Soil Mechanics and Rock MechanicsKarlsruhe Institute of TechnologyKarlsruheGermany

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