Skip to main content

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

  • Chapter
  • First Online:
Book cover Holistic Simulation of Geotechnical Installation Processes

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 82))

  • 1030 Accesses

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.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  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

    Chapter  Google Scholar 

  2. Gudehus, G.: A comprehensive constitutive equation for granular materials. Soils Found. 36(1), 1–12 (1996)

    Article  Google Scholar 

  3. Niemunis, A., Herle, I.: Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-frict. Mater. 2(4), 279–299 (1997)

    Article  Google Scholar 

  4. Niemunis, A., Wichtmann, T., Triantafyllidis, T.: A high-cycle accumulation model for sand. Comput. Geotech. 32, 245–263 (2005)

    Article  MATH  Google Scholar 

  5. Osinov, V.A.: Wave-induced liquefaction of a saturated sand layer. Continuum Mech. Thermodyn. 12(5), 325–339 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  6. Osinov, V.A.: Large-strain dynamic cavity expansion in a granular material. J. Eng. Math. 52, 185–198 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  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)

    Article  Google Scholar 

  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

    Chapter  Google Scholar 

  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)

    Chapter  Google Scholar 

  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)

    Article  Google Scholar 

  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

    Chapter  Google Scholar 

  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. Wichtmann, T., Private communication (2016)

    Google Scholar 

  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)

    MATH  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  19. Zienkiewicz, O.C., Chang, C.T., Bettess, P.: Drained, undrained, consolidating and dynamic behaviour assumptions in soils. Géotechnique 30(4), 385–395 (1980)

    Article  Google Scholar 

  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)

    MATH  Google Scholar 

Download references

Acknowledgments

The study was financed by the Deutsche Forschungsgemeinschaft as part of the Research Unit FOR 1136 ‘Simulation of geotechnical construction processes with holistic consideration of the stress strain soil behaviour’, Subproject 6 ‘Soil deformations close to retaining walls due to vibration excitations’.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Osinov, V.A. (2017). Some Aspects of the Boundary Value Problems for the Cyclic Deformation of Soil. In: Triantafyllidis, T. (eds) Holistic Simulation of Geotechnical Installation Processes. Lecture Notes in Applied and Computational Mechanics, vol 82. Springer, Cham. https://doi.org/10.1007/978-3-319-52590-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-52590-7_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-52589-1

  • Online ISBN: 978-3-319-52590-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics