Skip to main content

A unified framework for elastoplasticity of unsaturated soils: From capillary hysteresis to soil skeletal deformations

  • Conference paper
Book cover Unsaturated Soils: Numerical and Theoretical Approaches

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 94))

  • 1203 Accesses

Abstract

A theoretical framework for modeling the elastoplastic constitutive behavior of unsaturated soils is presented. By combining the theory of mixtures with interfaces (TMI) and continuum theory of plasticity, a dissipation mechanism associated with capillary hysteresis is identified. We show that the plastic deformation of the soil matrix can be described by using a pseudo effective stress tensor. In this context the plastic deformation and capillary hysteresis are consistently simulated in a hierarchical and coupled manner. The proposed framework preserves all the advantages of those models based on the effective stress concept, two stress state variables, and mixture theory, while excluding their drawbacks.

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

  • Alonso, E.E., A. Gens, and A. Josa (1990), “A constitutive model for partially saturated soils,” Geotechnique, 40(3), 405–430.

    Google Scholar 

  • Bishop, A.W. (1959), “The principle of effective stress,” Tek. Ukebl., 106(39), 113–143.

    Google Scholar 

  • Bolzon, G., B.A. Schrefler, and O.C. Zienkewicz (1996), “Elasto-plastic constitutive laws generalized to partially saturated states,” Geotechnique, 46(2), 279–289.

    Google Scholar 

  • Brooks, H., and A.T. Corey (1964), Hydraulic properties of porous media, Colorado State Univ. Hydrol. Paper, No. 3, March.

    Google Scholar 

  • Dafalias, Y.F., and E.P. Popov (1976), “Plastic internal variables formalism of cyclic plasticity,” J. Appl. Mech., ASME, 43, 645–651.

    Google Scholar 

  • Dafalias, Y.F., and L.R. Herrmann (1986), “Bounding surface plasticity II: application to isotropic cohesive soils,” J. Eng. Mech. Div., ASCE, 112, 1263–1291.

    Google Scholar 

  • Desai, C.S., S. Somasundaram, and G. Frantziskonic (1986), “A hierarchical approach for constitutive modeling of geologic materials,” Int. J. Numer. Anal. Meth. Geomech., 10(3), 225–257.

    Article  Google Scholar 

  • Fredlund, D.G., and H.R. Rahardjo (1993), Soil Mechanics for Unsaturated Soils, John Wiley and Sons, New York.

    Google Scholar 

  • Gens, A., P. Jouanna, B.A. Schrefler (1995), “Modern issues in non-saturated soils,” CISM course and Lectures no. 357, Springer Verlag, Wien.

    Google Scholar 

  • Kohgo, Y., M. Nakano, and T. Miyazaki (1993a), “Theoretical aspects of constitutive modeling for unsaturated soils,” Soils and Foundations, 33(4), 96–63.

    Google Scholar 

  • Kohgo, Y., M. Nakano, and T. Miyazaki (1993b), “Verification of the generalized elastoplastic model for unsaturated soils,” Soils and Foundations, 33(4), 64–75.

    Google Scholar 

  • Lemaitre, J., and J.-L. Chaboche (1990), Mechanics of Materials, (translation from the 1985 French edition), Cambridge University Press, UK.

    Google Scholar 

  • Loret, B., N. Khalili (2002), “An effective stress elastic-plastic model for unsaturated porous media,” Mechanics of Materials, 34, 97–116

    Article  Google Scholar 

  • Lubliner, J. (1990), Plasticity Theory, Macmillan Publishing Co., New York.

    Google Scholar 

  • Muraleetharan, K. K., and C. Wei (1999), “Dynamic behavior of unsaturated porous media: governing equations using the theory of mixtures with interfaces (TMI),” Int. J. Numer. Anal. Meth. Geomech., 23, 1579–1608.

    Article  Google Scholar 

  • Roscoe, K.H., and J.B. Burland (1968),“On the generalized stress-strain behavior of ‘wet’ clay,” in Engineering Plasticity, J. Heyman and F. A. Leckie (eds.), Cambridge University Press, 535–609.

    Google Scholar 

  • Topp, G. C. (1971), “Soil water hysteresis in silt loam and clay loam soils,” Water Resources Research, 7(4), 914–920.

    Google Scholar 

  • van Genuchten, M. T. (1980), “A closed form equation for predicting the hydraulic conductivity of unsaturated soils,” Soil Sci. Soc. Am. J., 44, 892–898.

    Google Scholar 

  • Wei, C. (2001), “Static and dynamic behavior of multiphase porous media: governing equations and finite element implementation,” PhD dissertation, University of Oklahoma, Oklahoma.

    Google Scholar 

  • Wei, C., and K.K. Muraleetharan (2002a), “A continuum theory of porous media saturated by multiple immiscible fluids: I. Linear poroelasticity,” Int. J. Eng. Sci., 40(16), 1807–1833.

    Article  MathSciNet  Google Scholar 

  • Wei, C., and K.K. Muraleetharan (2002b), “A continuum theory of porous media saturated by multiple immiscible fluids: II. Lagrangian description and variational structure,” Int. J. Eng. Sci., 40(16), 1835–1854.

    Article  MathSciNet  Google Scholar 

  • Wheeler, S. J. (1996), “Inclusion of specific water volume within an elasto-plastic model for unsaturated soils,” Can. Geotech. J., 33, 42–57.

    Google Scholar 

  • Yang, Y., and K.K. Muraleetharan (2003a), “Middle surface concept and its application to elastoplastic behavior of saturated sands,” Geotechnique, 53(4), 421–431.

    Google Scholar 

  • Yang, Y., and K.K. Muraleetharan (2003b), “Modeling the stress-strain behavior of unsaturated soils using the middle surface concept,” Proceedings, International Conference: From Experimental Evidences Towards Numerical Modelling of Unsaturated Soils, September 18th-19th, Weimar, Germany.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Muraleetharan, K.K., Wei, C. (2005). A unified framework for elastoplasticity of unsaturated soils: From capillary hysteresis to soil skeletal deformations. In: Schanz, T. (eds) Unsaturated Soils: Numerical and Theoretical Approaches. Springer Proceedings in Physics, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26737-9_9

Download citation

  • DOI: https://doi.org/10.1007/3-540-26737-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21122-8

  • Online ISBN: 978-3-540-26737-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics