Skip to main content

Extensions to the Limit Equilibrium and Limit Analysis in Geomechanics

  • Conference paper
  • First Online:
Proceedings of China-Europe Conference on Geotechnical Engineering

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

  • 3112 Accesses

Abstract

This article is an extended abstract that summarizes the author’s work on the methods of slices to render practicable approaches to slope stability, earth pressure and bearing capacity analysis. They are derived based on the upper-bound and lower-bound theory of plasticity and extended to the 3D-area.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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

Similar content being viewed by others

Notes

  1. 1.

    The meanings of all symbols in this text can be found in the relevant references being cited.

References

  1. Chen, W.F.: Limit Analysis and Soil Plasticity. Elsevier, Amsterdam (1975)

    Google Scholar 

  2. Morgenstern, N.R., Price, V.: The analysis of the stability of general slip surface. Geotechnique l5(1), 79–93 (1965)

    Google Scholar 

  3. Bishop, A.W.: The use of the slip circle in the stability (1955)

    Google Scholar 

  4. Spencer, E.: A method of analysis of embankments assuming parallel inter-slice forces. Geotechnique 17, 11–26 (1967)

    Article  Google Scholar 

  5. Chen, Z., Morgenstern, N.R.: Extensions to the generalized method of slices for stability analysis. Can. Geotech. J. 20(1), 104–119 (1983)

    Article  Google Scholar 

  6. Chen, Z., Ugai, K.: Limit equilibrium and finite element analysis – a perspective of recent advances. In: Proceedings of the 10th International Symposium on Landside and Engineered Slopes, vol. 1, pp. 25–38 (2008)

    Google Scholar 

  7. Donald, I.B., Chen, Z.Y.: Slope stability analysis by an upper bound plasticity method. Can. Geotech. J. 34(6), 853–862 (1997). https://doi.org/10.1139/cgj-34-6-853

    Article  Google Scholar 

  8. Sokolovski, V.V.: Statics of Soil Media. Butterworth, London (1960). Translated by Jones, D.H., Scholfield, A.N.

    Google Scholar 

  9. Peck, R.: Fifty years of lateral earth pressure. In: Proceedings of Conference on Design and Performance of Earth Retaining Structures, Cornel University, Ithaca, New York. ASCE Geotechnical Special Publication, No. 25 (1990)

    Google Scholar 

  10. Chen, Z.Y., Li, S.M.: Evaluation of active earth pressure by the generalized method of slices. Can. Geotech. J. 35(4), 591–599 (1998). https://doi.org/10.1139/cgj-35-4-591

    Article  Google Scholar 

  11. Wang, Y.J., Yin, J.H., Chen, Z.Y.: Calculation of bearing capacity of a strip footing using an upper bound method. Int. J. Numer. Anal. Meth. Geomech. 25(8), 841–851 (2001). https://doi.org/10.1002/nag.151

    Article  MATH  Google Scholar 

  12. Chen, Z., Mi, H., Zhang, F., Wang, X.: A simplified method for 3D slope stability analysis. Can. Geotech. J. 40(3), 675–683 (2003). https://doi.org/10.1139/t03-002

    Article  Google Scholar 

  13. Chen, Z., Wang, X., Haberfield, C., Yin, J., Wang, Y.A.: Three-dimensional slope stability analysis method using the upper bound theorem, Part I: Theory and methods. Int. J. Rock Mech. Min. Sci. 38(3), 369–378 (2001). https://doi.org/10.1016/s1365-1609(01)00012-0

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zuyu Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Chen, Z. (2018). Extensions to the Limit Equilibrium and Limit Analysis in Geomechanics. In: Wu, W., Yu, HS. (eds) Proceedings of China-Europe Conference on Geotechnical Engineering. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-97112-4_67

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-97112-4_67

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97111-7

  • Online ISBN: 978-3-319-97112-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics