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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Nemat-Nasser, S. (1980), “On Constitutive Behavior of Fault Materials,” Solid Earth Geophysics and Geotechnology AMD, 42, 31–37.
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.
Nemat-Nasser, S. (1983), “On Finite Plastic Flow of Crystalline Solids and Geomaterials,” J. Appl. Mech. (50th Anniv. Issue), 50, 1114–1126.
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.
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.
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.
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.
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.
DiMaggio, F.L. and I.S. Sandier (1971), “Material Models for Granular Soils,” J. Eng. Mech. Div., ASCE, 97, No. EM3, 935–950.
Drucker, D.C., R.E. Gibson and D.J. Henkel (1957), “Soil Mechanics and Work-Hardening Theories of Plasticity,” Transactions ASCE, 122, 338–346.
Duvaut, G. and J.L. Lions (1973), Les Inequations en Mecanique et en Physique, Dunod, Paris.
Fichera, G. (1972), “Existence Theorems in Elasticity,” Handbuch der Physics, Springer-Verlag, Vol. VI a/2, 347–390.
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.
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.
Mroz, Z. and St. Pietruzxzak (1983), “Constitutive Model for Sand with Anisotropic Hardening Rule,” Int. J. Num. Anal. Methods Geomech., 7, 305–320.
Prevost, J.H. (1978), “Plasticity Theory for Soil Stress-Strain Behavior,” J. Eng. Mech. Div., ASCE, 104, 1177–1194.
Prevost, J.H. (1977), “Mathematical Modeling of Monotonie and Cyclic Undrained Clay Behavior,” Int. J. Num. Anal. Methods Geomech., 1, 195–216.
Prevost, J.H. (1983), “Two-Surface versus Multi-Surface Plasticity Theories: A Critical Assessment,” Int. J. Num. Anal. Methods Geomech., 6, 323–338.
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.
Richart, F.E.,. J.R. Hall and R.D. Woods (1970), Vibrations of Soils and Foundations, Prentice-Hall.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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