Skip to main content

Constitutive Equations for Soil Media

  • Conference paper
Numerical Methods in Geomechanics

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 92))

  • 454 Accesses

Abstract

A general analytical model which describes the nonlinear, anisotropic, elastoplastic, stress-strain-strength properties of the soil skeleton when subjected to complicated three-dimensional loading paths is presented. A brief summary of the model’s basic principle is included and the constitutive equations are provided. It is shown that the model parameters required to characterize the behavior of any given soil can be derived entirely from the results of conventional soil tests. The procedure can be easily programmed. The model’s accuracy is evaluated by applying it to represent the behavior of a cohesive soil under undrained loading conditions for nonproportional stress paths. Implementation of the proposed formulation for solution of boundary value problems is discussed.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Hill, R., “A General Theory of Uniqueness and Stability in Elastic-Plastic Solids,” J.Mech.Phys.Solids, Vol. 6, 1953, pp. 236–249.

    Article  Google Scholar 

  2. Hvorslev, M. J., “Uber die Festigkeitseigenschaften gestorler bindiger boden,” Ingeniozvidenskabelige Skrifter, A. no. 45, Copenhagen, 1937.

    Google Scholar 

  3. Jaumann, G., Gzundlagen der Bewegungolehze, Leipzig, 1903.

    Google Scholar 

  4. Krieg, R. D., and Krieg, D. B., “Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic Model,” J.of Pressure Vessel Technology, ASME, Vol. 99, No. 4, 1977 pp. 510–515.

    Article  Google Scholar 

  5. Malkus, D. S., and Hughes, T. J. R., “Mixed Finite Element Methods - Reduced and Selective Integration Techniques: A Unification of Concepts,” Computer Methods in Applied Mechanics and Engineering, Vol~ 15, No. T~, 1978, pp. 63–31

    Google Scholar 

  6. Prevost, J. H., “Mathematical Modeling of Monotonic and Cyclic Undrained Clay Behavior,” Int.J.Num.Ana 1yt.Methods in Geomechanics, Vol. 1, No. 2, 1977, pp. 196–216.

    Google Scholar 

  7. Prevost, J. H., “Anisotropic Undrained Stress-Strain Behavior of Clays,” J.Geotech.Eng.Div., ASCE, Vol, 104, No. GT3, 1973, pp. 1075–1090.

    Google Scholar 

  8. Prevost, J. H., “Plasticity Theory for Soil Stress-Strain Behavior,” J.Eng.Mech.Div., ASCE, Vol. 104, No. EM5, 1973, pp. 1177–1194.

    Google Scholar 

  9. Prevost, J. H. and Hughes, T. J. R., “Analysis of Gravity Offshore Structure Foundations Subjected to Cyclic Wave Forces,” Proceedings, 1973 Offshore Technology Conference, Houston, Texas, Vol. 1 (May 1973),pp. 1809–1810.

    Google Scholar 

  10. Prevost, J. H., and Hughes, T. J. R., “Finite Element Solution of Boundary Value Problems in Soil Mechanics,” Proceedings, International Symposium on Soils under Cyclic and Transient Loading, Swansea, U.K., (January 1930), pp. 263–276.

    Google Scholar 

  11. Prevost, J. H., “Constitutive Theory for Soil,” Proceedings, NSF/NSERC North American Workshop on Plasticity and Generalized Stress-Strain Applications in Soil Engineering, Montreal, Canada, May 1930.

    Google Scholar 

  12. Prevost, J. H., “DYNA-FLOW: A Nonlinear Transient Finite Element Analysis Program,” Department of Civil Engineering, Report 81-SM-l, Princeton University (January 1931).

    Google Scholar 

  13. Prevost, J. H., “Consolidation of Anelastic Porous Media,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EMI, Proc. Paper 16042 (February 1981), pp. 169–136.

    Google Scholar 

  14. Prevost, J. H., Cuny, B., Hughes, T. J. R. and Scott, R. F., “Foundations of Offshore Gravity Structures: Analysis,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 107, No. GT2, Proc. Paper 16045, (February 1981), pp. 143–165.

    Google Scholar 

  15. Prevost, J. H. and Hughes, T. J. R., “Finite Element Solution of Elastic-Plastic BVP,” Journal of Applied Mechanics, ASME, Vol. 43, No. 1, Paper No. 81-APM-17 (March 1981), pp. 69–34.

    Google Scholar 

  16. Prevost, J. H., “Two-Surface vs. Multi-Surface Plasticity Theories,” International Journal for Numerical and Analytical Methods in Geomechanics (1981) (to appear).

    Google Scholar 

  17. Prevost, J. H., “Nonlinear Transient Phenomena in Saturated Porous Media,” Computer Methods in Applied Mechanics and Engineering (1931) (to appear).

    Google Scholar 

  18. Prevost, J. H., “Nonlinear Transient Phenomena in Elastic-Plastic Solids,” Journal of the Engineering Mechanics Division, ASCE (April 1931)

    Google Scholar 

  19. Prevost, J. H., “Localization of Deformations in Elastic-Plastic Solids,” Journal of the Engineering Mechanics Division, ASCE (April 1931)

    Google Scholar 

  20. Prevost, J. H. and Wakugawa, J. M., “Constitutive Equation for Pressure Sensitive Soils,” International Journal for Numerical and Analytical Methods in Geomechanics, (Apri1 1981 )

    Google Scholar 

  21. Richard, R. E., Woods, R. D. and Hall, J. R., Vibrations of Soils and Foundations, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1970.

    Google Scholar 

  22. Roscoe, K. H. and Burland, J. B., “On the Generalized Stress-Strain Behavior of ‘Wet’ Clay,” in Engineering Plasticity, Heymand and Leckis, eds., Cambridge University Press, Cambridge, England, 1968, pp. 535–609.

    Google Scholar 

  23. Terzaghi, K., Theoretical Soil Mechanics, Wiley, New York, 1943.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1982 D. Reidel Publishing Company

About this paper

Cite this paper

Prevost, J.H. (1982). Constitutive Equations for Soil Media. In: Martins, J.B. (eds) Numerical Methods in Geomechanics. NATO Advanced Study Institutes Series, vol 92. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7895-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-7895-9_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7897-3

  • Online ISBN: 978-94-009-7895-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics