The Development of the Plastic Theory of Geomaterial

  • Yuanxue LiuEmail author
  • Yingren Zheng
Part of the Springer Geophysics book series (SPRINGERGEOPHYS)


The former constitutive models of geomaterial are always based on classical theory of plasticity, such as the famous Cam-Clay model. However, a large number of geotechnical tests show that the following basic mechanical characteristics of geomaterial cannot be reflected by the models based on the Classical Plastic Theory.


  1. 1.
    Shen ZJ, Sheng SX (1982) The uniqueness assumption of the constitutive theory of soil. Chin Sci Study Irrig Water Carriage 2:11–19Google Scholar
  2. 2.
    Anandarajah A, Sobhan K, Kuganenthira N (1995) Incremental stress-strain behavior of granular soil. J Geotech Eng 121(1):57–68CrossRefGoogle Scholar
  3. 3.
    Tatsuoka F, Sonada S (1986) Failure and deformation of sand in torsional shear. Soils Found 26(4):79–97CrossRefGoogle Scholar
  4. 4.
    Liu YX (1997) The general stress strain relation of soils involving principal stress axes rotation [Doctoral Dissertation]. Logistical Engineering University, Chongqing, ChinaGoogle Scholar
  5. 5.
    Liu YX, Zheng YR, Chen ZH (1998) The general stress-strain relation of soils involving principal stress axes rotation. Appl Math Mech 19(5):407–413Google Scholar
  6. 6.
    Liu YX, Zheng YR (1998) A new method for considering the influences of principal stress axes rotation on soils stress strain relation. Chin J Geotech Eng 20(2):45–47Google Scholar
  7. 7.
    Liu YX (2001) Study of several basic problems of geomaterial constitutive theory. Chin J Geotech Eng 23(1):45–48Google Scholar
  8. 8.
    Shen ZJ (1985) Elastoplastic analysis of consolidation deformation of soft clay foundation. Chin Sci (A) (11):1050–1060Google Scholar
  9. 9.
    Yin ZZ (1998) A two yield surface stress strain model of soils. Chin J Geotech Eng 10(4):64–71Google Scholar
  10. 10.
    Kiyama S, Hasegawa T (1998) A two-surface model with anisotropic hardening and nonassociated flow rule for geomaterials. Soils Found 38(1):45–59CrossRefGoogle Scholar
  11. 11.
    Zheng YR (1991) Multi-yielding surface theory for soils. Comput Methods Adv Geomech 715–720Google Scholar
  12. 12.
    Lade PV, Kim MK (1988) Single hardening constitutive model for frictional materials. Comput Geotech 6:1–47CrossRefGoogle Scholar
  13. 13.
    Huang SJ (1988) The thermodynamics principle of stability postulate in plastic mechanics. Chin J Solid Mech 9(2):95–101Google Scholar
  14. 14.
    Drucker DC, Gibson RE, Henkel DH (1957) Soil mechanics and work-hardening theories of plasticity. Trans ASCE 122:94–112Google Scholar
  15. 15.
    Shen ZJ (1998) The basic problems in modem soil mechanics. Mech Pract 6:1–6Google Scholar
  16. 16.
    Liu YX, Zheng YR (2000) The generalized plastic theory involving principal stress axes rotation. Chin Q J Mech 21(1):119–123Google Scholar
  17. 17.
    Lu HH, Yin ZZ (1994) Analysis and Improvement of the flexible matrix of two yield surface model. In: Zheng YR (ed) Proceeding of 5th Chinese conference of numerical analysis and analysis methods in geomechanics. Press of Wuhan Survey Science and Technology University, Wuhan, pp 139–144Google Scholar
  18. 18.
    Yin ZZ, Zhu JG, Lu HH (1994) The elastoplastic flexible matrix and experimental study by true three triaxial test. In: Ye SL (ed) Proceeding of 7th Chinese conference of soil mechanics and foundation engineering. Chinese Press of Architecture Engineering, Beijing, pp 21–25Google Scholar
  19. 19.
    Yoshimine M, Ishihara K, Vargas W (1998) Effects of principal stress direction and intermediate principal stress on undrained shear behaviour of sands. Soils Found 38(3):179–188CrossRefGoogle Scholar
  20. 20.
    Drucker DC, Prager W (1952) Soil mechanics and plastic analysis on limit design. J Appl Math 10(2):157–165Google Scholar
  21. 21.
    Yu MH (1992) New system of strength theory. Xi’an Jiaotong University Press, Xi’anGoogle Scholar
  22. 22.
    Hoek E, Brown ET (1980) Empirical strength criterion for rock masses. J Geotech Eng Div ASCE 1013–1025Google Scholar
  23. 23.
    Hoek E, Brown ET (1988) The Hoek-Brown failure criterion-a 1988 update. In: Proceeding of 15th Canadian rock mechanics symposium, pp 31–38Google Scholar
  24. 24.
    Hoek E, Carranza-Torres C T, Corkum B (2002) Hoek-Brown failure criterion-2002 edition. In: Proceedings of the 5th North American rock mechanics symposium, vol 1, pp 267–273Google Scholar
  25. 25.
    Roscoe KH, Schofield AN, Wroth CP (1958) On the yielding of soils. Geotechnique 8(1):22–53CrossRefGoogle Scholar
  26. 26.
    Roscoe KH, Schofield AN, Thurairajah A (1963) Yielding of clays in states wetter than critical. Geotechnique 13(3):211–240CrossRefGoogle Scholar
  27. 27.
    Roscoe KH, Burland JB (1968) On the generalized stress strain behavior of “wet” clay. In: Hoyman J, Leekie FA (eds) Engineering plasticity. Cambridge University Press, Cambridge, pp 535–609Google Scholar
  28. 28.
    Liu YX, Zheng YR (2001) The loading-unloading rule for elastoplastic theory of geomaterial. Chin J Rock Mech Eng 20(6):768–771Google Scholar

Copyright information

© Science Press and Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Geotechnical EngineeringLogistical Engineering UniversityChongqingChina
  2. 2.Institute of Geotechnical EngineeringLogistical Engineering UniversityChongqingChina

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