Skip to main content

Part of the book series: Mechanics of elastic and inelastic solids 6 ((MEIS,volume 6))

Abstract

The essential features of the stress-strain-strength response of soils subjected to both hydrostatic and deviatoric states of stress are briefly discussed. The fundamental equations of the work-hardening elastic-plastic constitutive models are summarized for both the associated and the nonassociated flow rules, and the ramifications of using these flow rules for modeling the stress-strain response of frictional materials are pointed out. A procedure for fitting elastic-plastic models (based on the associated flow rule) to a given set of laboratory test data is outlined, and the application of such models for characterization of the stress-strain response of soil is demonstrated. Finally, some results from large-scale numerical calculations of wave propagation in earth materials using elastic-plastic soil models are presented.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

  • Baladi, G. Y. (1973), “The Latest Development in the Nonlinear Elastic-Nonideally Plastic Work Hardening Cap Model,” Symposium on Plasticity and Soil Mechanics, Cambridge, England, September 1973, 51-55.

    Google Scholar 

  • Baladi, G. Y. and I. Nelson (1974), “Ground Shock Calculation Parameter Study; Influence of Type of Constitutive Model on Ground Motion Calculations,” Technical Report S-71-4, Report 3, U.S. Army Engineer Waterways Experiment Station, CE, Vicksburg, Miss.

    Google Scholar 

  • Baladi, G.Y. (1977), “Numerical Implementation of a Transverse-Isotropic Inelastic, Work-Hardening Constitutive Model,” Transactions of the 4th International Conference on Structural Mechanics in Reactor Technology, Vol. M, Methods for Structural Analysis, San Francisco, Calif., August 1977.

    Google Scholar 

  • Baladi, G.Y. and B. Rohani (1979a), “A Work-Softening Model for Soil,” Proceedings of the Third Engineering Mechanics Division Specialty Conference, ASCE, pp. 530-534.

    Google Scholar 

  • Baladi, G.Y. and B. Rohani (1979b), “Elastic-Plastic Model for Saturated Sand,” Journal of the Geotechnical Engineering Division, ASCE, Vol. 105, No. GT4, Proc. Paper 14510, pp. 465-480.

    Google Scholar 

  • Baladi, G.Y. and B. Rohani (1979c), “An Elastic-Plastic Constitutive Model for Saturated Sand Subjected to Monotonic and/or Cyclic Loading,” Proceedings of the Third International Conference on Numerical Methods in Geomechanics, Aachen, Germany, pp. 389-404.

    Google Scholar 

  • Baladi, G.Y. (1980), “An Elastic-Plastic Transverse-Isotropic Constitutive Model for Clay,” Proceedings of the Workshop on Limit Equilibrium, Plasticity and Generalized Stress-Strain in Geotechnical Engineering, McGill University, May 28–30, pp. 650-681.

    Google Scholar 

  • Baladi, G.Y. and B. Rohani (1982), “An Elastic-Viscoplastic Constitutive Model for Earth Materials,” Technical Report SL-82-10, U.S. Army Engineer Waterways Experiment Station, CE, Vicksburg, Miss.

    Google Scholar 

  • DiMaggio, F.L. and I.S. Sandier (1971), “Material Models for Granular Soils,” Journal of the Engineering Mechanics Division, ASCE, Vol. 97, No. EM3, Proc. Paper i212, pp. 935-950.

    Google Scholar 

  • Dorris, J.F. and S. Nemat-Nasser (1982), “A Plasticity Model for Flow of Granular Materials under Triaxial Stress States,” International Journal of Solids and Structures, 18, No. 6, 497–531.

    Article  MATH  Google Scholar 

  • Lade, Paul V. and James M. Cuncan (1975), “Elastoplastic Stress-Strain Theory for Cohesionless Soil,” Journal of the Geotechnical Engineering Division, ASCE, 101, No. GT10, Proc. Paper 11670, 1037-1053.

    Google Scholar 

  • Lade, Paul V. and Horacio M. Musante (1978), “Three-Dimensional Behavior of Remolded Clay,” Journal of the Geotechnioal Engineering Division, ASCE, 104, No. GT2, Proc. Paper 13551, 193-209.

    Google Scholar 

  • Nelson, I. and G.Y. Baladi (1977), “Outrunning Ground Shock Computed with Different Models,” Journal of the Engineering Mechanics Division, ASCE, 103, No. EM3, 377–393.

    Google Scholar 

  • Nemat-Nasser, S. (1980), “On Constitutive Behavior of Fault Materials,” Solid Earth Geophysics and Geotechnology AMD, 42, 31–37.

    Google Scholar 

  • Nemat-Nasser, S. and A. Shokooh (1980), “On Finite Plastic Flows of Compressible Materials with Internal Friction,” International Journal of Solids and Structures, 16, 495–514.

    Article  MATH  Google Scholar 

  • Nemat-Nasser, S. (1983), “On Finite Plastic Flow of Crystalline Solids and Geomaterials,” J. Appl. Mech. (50th Anniv. Issue), 50, 1114–1126.

    Article  MATH  ADS  Google Scholar 

  • Sandler, I.S., F.L. DiMaggio, and G.Y. Baladi (1976), “Generalized Cap Model for Geological Materials,” Journal of the Geotechnical Engineering Division, ASCE, 102, No. GT7, Proc. Paper 12243, 683–699.

    Google Scholar 

  • Sandier, I.S. and D. Rubin (1979), “An Algorithm and a Modular Subroutine for the Cap Model,” International Journal of Numerical and Analytical Methods in Geomechanics, 3, 173–186.

    Article  ADS  Google Scholar 

  • Baladi, G.Y. and B. Rohani (1983), “Soil Plasticity,” Proc. Workshop on the Theoretical Foundation for Large-Scale Computations of Nonlinear Material Behavior, Northwestern Univ., Evanston, Illinois.

    Google Scholar 

  • Dafalias, Y.F. and L.R. Herrmann (1980), “A Generalized Bounding Surface Constitutive Model for Clays,” in Application of Plasticity and Generalized Stress-Strain in Geotechnical Engineering, ASCE, Eds. R.N. Yong and E.T. Selig, 78-95.

    Google Scholar 

  • Dafalias, Y.F. and L.R. Herrmann (1982), “Bounding Surface Formulation of Soil Plasticity,” in Soil Mechanics; Transient and Cyclic Loads, John Wiley; Eds. G.H. Pande and O.C. Zienkiewicz, 253-282.

    Google Scholar 

  • DiMaggio, F.L. and I.S. Sandier (1971), “Material Models for Granular Soils,” J. Eng. Mech. Div., ASCE, 97, No. EM3, 935–950.

    Google Scholar 

  • Drucker, D.C., R.E. Gibson and D.J. Henkel (1957), “Soil Mechanics and Work-Hardening Theories of Plasticity,” Transactions ASCE, 122, 338–346.

    Google Scholar 

  • Duvaut, G. and J.L. Lions (1973), Les Inequations en Mecanique et en Physique, Dunod, Paris.

    Google Scholar 

  • Fichera, G. (1972), “Existence Theorems in Elasticity,” Handbuch der Physics, Springer-Verlag, Vol. VI a/2, 347–390.

    Google Scholar 

  • Mroz, Z., V.A. Norris and O.C. Zienkiewicz (1978), “An Anisotropic Hardening Model for Soils and its Application to Cyclic Loading,” Int. J. Num. Anal. Methods Geomech., 2, 203–221.

    Article  MATH  Google Scholar 

  • Mroz, Z., V.A. Norris and O.C. Zienkiewicz (1979), “Application of an Anisotropic Hardening Model in the Analysis of Elastoplastic Deformation of Soils,” Geotechnique, 29, 1–34.

    Article  Google Scholar 

  • Mroz, Z. and St. Pietruzxzak (1983), “Constitutive Model for Sand with Anisotropic Hardening Rule,” Int. J. Num. Anal. Methods Geomech., 7, 305–320.

    Article  MATH  Google Scholar 

  • Prevost, J.H. (1978), “Plasticity Theory for Soil Stress-Strain Behavior,” J. Eng. Mech. Div., ASCE, 104, 1177–1194.

    Google Scholar 

  • Prevost, J.H. (1977), “Mathematical Modeling of Monotonie and Cyclic Undrained Clay Behavior,” Int. J. Num. Anal. Methods Geomech., 1, 195–216.

    Article  MATH  Google Scholar 

  • Prevost, J.H. (1983), “Two-Surface versus Multi-Surface Plasticity Theories: A Critical Assessment,” Int. J. Num. Anal. Methods Geomech., 6, 323–338.

    Article  Google Scholar 

  • Rice, J.R. (1976), “The Localization of Plastic Deformation,” Proc. 14th Int. Cong. Theoretical and Applied Mechanics, Delft, Ed. W.T. Koiter, 1, 207–220.

    Google Scholar 

  • Richart, F.E.,. J.R. Hall and R.D. Woods (1970), Vibrations of Soils and Foundations, Prentice-Hall.

    Google Scholar 

  • Rudnicki, J.W. and J.R. Rice (1975), “Conditions for the Localization of Deformation in Pressure-Sensitive Dilatant Materials,” J. Mech. Phys. Solids, 23, 371–394.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Martinus Nijhoff Publishers, Dordrecht.

About this chapter

Cite this chapter

Baladi, G.Y., Rohani, B. (1984). Soil Plasticity. In: Nemat-Nasser, S., Asaro, R.J., Hegemier, G.A. (eds) Theoretical foundation for large-scale computations for nonlinear material behavior. Mechanics of elastic and inelastic solids 6, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6213-2_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-6213-2_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6215-6

  • Online ISBN: 978-94-009-6213-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics