Skip to main content

Simple Scalar and Vectorial Hypoplastic Models

  • Chapter
  • First Online:
  • 934 Accesses

Part of the book series: Springer Series in Geomechanics and Geoengineering ((SSGG))

Abstract

The aim of this chapter is to demonstrate the basic principles of hypoplasticity without the formalism of tensorial operations. Simple 1D scalar hypoplastic models for shear and for compression are introduced first. Subsequently, the model is defined in terms of vectors and, finally, simple tensorial models are introduced as hypoplastic equivalents of the standard elasto-plastic models (Modified Cam-clay model).

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   169.99
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

Learn about institutional subscriptions

References

  1. Mroz, Z., Norris, V.A., Zienkiewicz, O.C.: An anisotropic hardening model for soils and its application to cyclic loading. Int. J. Numer. Anal. Methods Geomech. 2, 203–221 (1978)

    Article  Google Scholar 

  2. Al-Tabbaa, A., Muir Wood, D.: An experimentally based “bubble” model for clay. In: Proceedings of 3th International Conference on Numerical Models in Geomechanics. Niagara Falls (1989)

    Google Scholar 

  3. Stallebrass, S.E., Taylor, R.N.: Prediction of ground movements in overconsolidated clay. Géotechnique 47(2), 235–253 (1997)

    Article  Google Scholar 

  4. Dafalias, Y.F., Manzari, M.T.: Simple plasticity sand model accounting for fabric change effects. J. Eng. Mech. 130(6), 622–634 (2004)

    Article  Google Scholar 

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

    Article  Google Scholar 

  6. Butterfield, R.: A natural compression law for soils. Géotechnique 29(4), 469–480 (1979)

    Article  Google Scholar 

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

    Article  Google Scholar 

  8. von Wolffersdorff, P.A.: A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-Frictional Mater. 1(3), 251–271 (1996)

    Article  Google Scholar 

  9. Mašín, D.: A hypoplastic constitutive model for clays. Int. J. Numer. Anal. Methods Geomech. 29(4), 311–336 (2005)

    Article  Google Scholar 

  10. Mašín, D.: Hypoplastic Cam-clay model. Géotechnique 62(6), 549–553 (2012)

    Article  Google Scholar 

  11. Mašín, D.: Clay hypoplasticity with explicitly defined asymptotic states. Acta Geotechnica 8(5), 481–496 (2013)

    Article  Google Scholar 

  12. Mašín, D.: Clay hypoplasticity model including stiffness anisotropy. Géotechnique 64(3), 232–238 (2014)

    Article  Google Scholar 

  13. Roscoe, K.H., Burland, J.B.: On the generalised stress-strain behaviour of wet clay. In: Heyman, J., Leckie, F.A. (eds.) Engineering Plasticity, pp. 535–609. Cambridge University Press, Cambridge (1968)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to David Mašín .

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Mašín, D. (2019). Simple Scalar and Vectorial Hypoplastic Models. In: Modelling of Soil Behaviour with Hypoplasticity. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-030-03976-9_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-03976-9_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03975-2

  • Online ISBN: 978-3-030-03976-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics