Skip to main content
Log in

Nonlinear and elasto-plasticity consolidation models of unsaturated soil and applications

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The non-linear constitutive model suggested by the authors and the Alonso's elasto-plasticity model of unsaturated soil modified by the authors are introduced into the consolidation theory of unsaturated soil proposed by CHEN Zheng-han, and the non-linear and the elasto-plasticity consolidation models of unsaturated soil are obtained. Programs related to the two consolidation models are designed, and a 2-D consolidation problem of unsaturated soil is solved using the programs, the consolidation process and the development of plastic zone under multi-grade load are studied. The above research develops the consolidation theory of unsaturated soil to a new level.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. CHEN Zheng-han, XIE Ding-yi, LIU Zu-dian. Consolidation theory of unsaturated soil[A]. In: Chinese Society of Mechanics Ed.Proc Conf on New Analysis Methods in Geomechanics[C], 1989, 298–306. (in Chinese)

  2. CHEN Zheng-han, XIE Ding-yi, LIU Zu-dian. The consolidation of unsaturated soil [A]. In: G Beer, J R Booker, J P Carter Eds.Proc 7 th Int Conf on Computer Methods and Advances in Geomechanics [C]. A A Balkema, Rotterdam, Brookfield: International Association for Computer Methods and Advances in Geomechanics 1991 1617–1621.

    Google Scholar 

  3. CHEN Zheng-han, XIE Ding-yi, LIU Zu-dian. Consolidation theory of unsaturated soil based on the theory of mixture (I) [J].Applied Mathematics and Mechanics (English Ed), 1993,14(2): 137–150.

    Google Scholar 

  4. CHEN Zheng-han, XIE Ding-yi, LIU Zu-dian. Consolidation theory of unsaturated soil based on the theory of mixture (II) [J].Applied Mathematics and Mechanics (English Ed), 1993,14(8): 721–733.

    Google Scholar 

  5. CHEN Zheng-han, ZHOU Hai-qing, Fredlund G D, et al. An nonlinear model for unsaturated soils [A]. In:Proc 2nd Int Conf Unsaturated Soils [C]. Beijing: International Academic Publishers 1998, 533–537.

    Google Scholar 

  6. CHEN Zheng-han, ZHOU Hai-qing, Fredlund G D et al.. An nonlinear model for unsaturated soils and its applications[J].Chinese J of Geotech Engineering, 1999,21(5): 603–608 (in Chinese)

    Google Scholar 

  7. CHEN Zheng-han. The characteristics of deformation, strength, yield and water volume change of a remolded unsaturated loess [J].Chinese J of Geotech Engineering, 1999,21(1): 82–90. (in Chinese)

    Google Scholar 

  8. HUANG Hai, CHEN Zheng-han, LI Gang. Test research on the yield locus on thep-s plane and soil-water characteristics[J].Rock and Soil Mechanics, 2000,21(4): 316–321. (in Chinese)

    Google Scholar 

  9. Fredlund D G and Rahardjo.Soil Mechanics for Unsaturated Soils [M]. New York: John Wiley and Sons, 1993.

    Google Scholar 

  10. CHEN Zheng-han. The stress state and stress state variables of unsaturated soil[A]. In:Proc 7th Chinese Conf on SMFE[C]. Beijing: Chinese Civil Engineering Publisher, 1994, 186–191. (in Chinese)

    Google Scholar 

  11. CHEN Zheng-han, XIE Ding-yi, WANG Yong-sheng. Experimental studies of laws of fluid motion, suction and pore pressure in unsaturated soil[J].Chinese J of Geotech Engineering, 1993,15(3): 9–20 (in Chinese)

    Google Scholar 

  12. Alonso E E, Gens A, Josa A. A constitutive model for partially saturated soils [J].Geotechnique, 1990,40(3): 405–430.

    Article  Google Scholar 

  13. Delage P, Graham J. Mechanical behaviour of unsaturated soils: Understanding the behaviour of unsaturated soils requires reliable conceptual models [A]. In: E E Alonso, P Delage Eds.Proceedings of the First International Conference on Unsaturated Soils [C]. Paris: De Lécole Nationale Des Ponts et Chaussées, 1995, 1223–1256.

    Google Scholar 

  14. CHEN Zheng-han. Coupled nonlinear analysis for air flow and water flow as well as expansive soil deformation of canal slope[A]. In:Proc on the Canal Slope Stability and Forecast in Expansive Soil Region for the Middle Route Project of, South-Northe Water Transfer[C]. Wuhan: 1998, 68–78. (in Chinese)

  15. HUANG Hai. Yield property and numerical analysis for elasto-plasticity consolidation of unsaturated soil by using FEM[D]. Chongqing: Logistical Engineering University, 2000. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Paper from CHEN Zheng-han, Member of Editorial Committee, AMM

Biography: CHEN Zheng-han (1947-), Professor, Doctor, Doctor Director

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zheng-han, C., Hai, H. & Zai-hua, L. Nonlinear and elasto-plasticity consolidation models of unsaturated soil and applications. Appl Math Mech 22, 105–117 (2001). https://doi.org/10.1007/BF02437949

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02437949

Key words

CLC numbers

Navigation