Slope Stability Analysis: Limit Analysis vs Strength Reduction FEA

  • Conference paper
  • First Online:
Challenges and Innovations in Geomechanics (IACMAG 2021)

Abstract

Numerical techniques like the displacement based finite element method and finite element limit analyses (FELA) are utilized with increased regularity to compute ultimate limit states of slopes. Since FELA is limited to associated plasticity it is suggested to use reduced strength parameters in combination with an associated flow rule in order to model non-associated plasticity (Davis approach). Strength reduction finite element analyses (SRFEA) on the other hand could suffer from numerical instabilities when using a non-associated flow rule. Both issues may be overcome by modifications of the original Davis approach. Previous studies of 2D plane strain considerations (in drained conditions) showed the advantages of the modified Davis procedure for both, displacement based FEA in combination with a strength reduction technique and finite element limit analysis. This paper investigates on the one hand 3D FEA and on the other hand the impact of undrained soil behavior when performing strength reduction finite element analysis. In the first section of the paper, the factors of safety determined by means of drained 2D and 3D SRFEA as well as 2D FELA are compared using different strength reduction techniques. The second part deals with the comparison of undrained and drained SRFEA with focus on the evaluation of the obtained FoS, stress paths, excess pore pressures and volumetric strains.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 35.99
Price includes VAT (United Kingdom)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 44.99
Price includes VAT (United Kingdom)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info
Hardcover Book
GBP 44.99
Price includes VAT (United Kingdom)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free ship** worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Brinkgreve, R.B.J., Kumarswamy, S., Swolfs, W.M., Foria F.: Plaxis 2D 2018-User Manual. Plaxis bv, Delft (2018)

    Google Scholar 

  2. Tschuchnigg, F., Schweiger, H.F., Sloan, S.W.: Slope stability analysis by means of finite element limit analysis and finite element strength reduction techniques. Part l: numerical studies considering non-associated plasticity. Comput. Geotech. 70, 169–177 (2015)

    Article  Google Scholar 

  3. Davis, E.H.: Theories of plasticity and failure of soil masses. In: Lee, I.K. (ed.) Soil Mechanics: Selected Topics, pp. 341–354. Elsevier, New York (1968)

    Google Scholar 

  4. Krabbenhoft, K.: Optum G2: Theory, Optum Computational Engineering (2018)

    Google Scholar 

  5. Oberhollenzer, S., Tschuchnigg, F., Schweiger, H.F.: Finite element analyses of slope stability problems using non-associated plasticity. J. Rock Mech. Geotech. Eng. 10(2018), 1091–1101 (2018)

    Article  Google Scholar 

  6. Tschuchnigg, F., Schweiger, H.F., Sloan, S.W., Lyamin, A.V., Raissakis, I.: Comparison of finite-element limit analysis and strength reduction techniques. Geotechnique 65(4), 249–257 (2015). https://doi.org/10.1680/geot.14.P02

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Franz Tschuchnigg .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Tschuchnigg, F., Oberhollenzer, S., Veigl, I. (2021). Slope Stability Analysis: Limit Analysis vs Strength Reduction FEA. In: Barla, M., Di Donna, A., Sterpi, D. (eds) Challenges and Innovations in Geomechanics. IACMAG 2021. Lecture Notes in Civil Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-030-64518-2_59

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-64518-2_59

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-64517-5

  • Online ISBN: 978-3-030-64518-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Navigation