Advertisement

Introduction

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

Abstract

The solution of complicated geotechnical engineering problems (stability, deformation) is inseparable from the computer, and the core of numerical analysis is the constitutive model of geomaterial. If the model is wrong, the calculation result is rubbish. Many geotechnical workers do not know that their calculation conclusion is dependent on the constitutive model that they selected. The basis of the constitutive model of geomaterial is plastic mechanics of geomaterial.

References

  1. 1.
    Rankine WJM (1857) On the stability of loose earth. Philos Trans R Soc Lond 147:9–27CrossRefGoogle Scholar
  2. 2.
    Terzaghi K (1943) Theoretical soil mechanics. Wiley, New YorkCrossRefGoogle Scholar
  3. 3.
    Drucker DC, Prager W (1952) Soil mechanics and plastic analysis on limit design. J Appl Math 10(2):157–165Google Scholar
  4. 4.
    Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Q Appl Math 10(2):157–164CrossRefGoogle Scholar
  5. 5.
    Drucker DC (1953) Coulomb friction, plasticity, and limit loads. J Appl Math 21(1):71–74Google Scholar
  6. 6.
    Prager W (1954) Limit analysis and design. Appl Mech Rev 7:421–423Google Scholar
  7. 7.
    Brady WG, Drucker DC (1953) An experimental investigation and limit analysis of net area in tension. Trans ASCE 120:1133–1154Google Scholar
  8. 8.
    Chen WF (1975) Limit analysis and soil plasticity. Elsevier Scientific Publish CompanyGoogle Scholar
  9. 9.
    Drucker DC, Gibson RE, Henkel DD (1957) Soil mechanics and work hardening theories of plasticity. Trans ASCE 122:338–346Google Scholar
  10. 10.
    Roscoe KH, Schofield AN, Wroth CP (1958) On the yielding of soils. Geotechnique 8(1):22–53CrossRefGoogle Scholar
  11. 11.
    Roscoe KH, Schofield AN, Thurairajah A (1963) Yielding of clays in states wetter than critical. Geotechnique 13(3):211–240CrossRefGoogle Scholar
  12. 12.
    Duncan JM (1970) Nonlinear analysis of stress and strain in soils. J Soil Mech Found Div (ASCE) 96(5):1629–1653Google Scholar
  13. 13.
    Lade PV (1977) Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces. Int J Solids Struct 13(11):1019–1035CrossRefGoogle Scholar
  14. 14.
    Kim MK, Lade PV (1988) Single hardening constitutive model for frictional materials I. Plastic potential function. Comput Geotech 5(4):307–324CrossRefGoogle Scholar
  15. 15.
    Lade PV, Kim MK (1988) Single hardening constitutive model for frictional materials II. Yield critirion and plastic work contours. Comput Geotech 6(1):13–29CrossRefGoogle Scholar
  16. 16.
    Lade PV, Kim MK (1988) Single hardening constitutive model for frictional materials III. Comparisons with experimental data. Comput Geotech 6(1):31–47CrossRefGoogle Scholar
  17. 17.
    Schofield A, Wroth P (1968) Critical state soil mechanics. McGraw-Hill, LondonGoogle Scholar
  18. 18.
    Chen WF, Saleeb AF, Dvorak GJ (1983) Constitutive equations for engineering materials, volume I: elasticity and modeling. J Appl Mech 50(3):269–271CrossRefGoogle Scholar
  19. 19.
    Zienkiewicz OC (1982) Soils and other saturated media under transient, dynamic conditions: general formulation and the validity of various simplifying assumptions. In: Soil mechanics-transient and cyclic loads, pp 1–16Google Scholar
  20. 20.
    Desai CS, Siriwardane HJ (1984) Constitutive laws for engineering materials: with emphasis on geologic materials. Prentice Hall Incorporated, Englewood CliffsGoogle Scholar
  21. 21.
    Davis RO, Selvadurai APS (2002) Plasticity and geomechanics. Cambridge University Press, UKCrossRefGoogle Scholar
  22. 22.
    Shen ZJ (1980) The rational form of stress-strain relationship of soils based on elastoplastic theory. Chin J Geotech Eng 2(2):11–19Google Scholar
  23. 23.
    Shen ZJ (1984) A stress-strain model for soils with three yield surfaces. Acta Mech Solida Sin 2:163–174Google Scholar
  24. 24.
    Shen ZJ (1985) Elastoplastic analysis of consolidation deformation of soft soil foundation. Chin Sci (Ser A) 15(11):1049–1060Google Scholar
  25. 25.
    Li GX (1985) Study and verification of three dimensional constitutive relationship of soils Doctoral Dissertation, Tsinghua University, BeijingGoogle Scholar
  26. 26.
    Pu JL, Li GX (1986) The constitutive relationship of soil and its verification and application. J Geotech Eng 8(1):47–82Google Scholar
  27. 27.
    Yin ZZ (1988) A double yield surface stress-strain model of soil. Chin J Geotech Eng 8(4):64–71Google Scholar
  28. 28.
    Qian JH (1981) Geotechnical principle and calculation. China Hydraulic Press, BeijingGoogle Scholar
  29. 29.
    Huang WX (1983) Engineering nature of soil. China WaterPower Press, BeijingGoogle Scholar
  30. 30.
    Qu ZJ (1987) Plastic mechanics of soil. Chengdu University of Science and Technology Press, ChengduGoogle Scholar
  31. 31.
    Zheng YR, Gong XN (1989) Fundamentals of plastic mechanics of geomaterial. China Architecture & Building Press, BeijingGoogle Scholar
  32. 32.
    Gong XN (1990) Plastic mechanics of soil. Zhejiang University Press, HangzhouGoogle Scholar
  33. 33.
    Gong XN (1995) Constitutive equations of engineering materials. China Architecture & Building Press, BeijingGoogle Scholar
  34. 34.
    Qian JH, Yin ZZ (1994) Geotechnical principle and calculation, 2nd edn. China WaterPower Press, BeijingGoogle Scholar
  35. 35.
    Shen ZJ (2000) Theoretical soil mechanics. China WaterPower Press, BeijingGoogle Scholar
  36. 36.
    Zheng YR, Shen ZJ, Gong XN (2002) Principle of plastic mechanics of geomaterial—generalized plastic mechanics. China Architecture & Building press, BeijingGoogle Scholar
  37. 37.
    Zhang XY, Yan SW (2004) Fundamentals of plastic mechanics of geomaterial. Tianjin University Press, TianjinGoogle Scholar
  38. 38.
    Li GX (2004) Advance soil mechanics. Tsinghua University Press, BeijingGoogle Scholar
  39. 39.
    Jiang PN (2007) Constitutive models of soil. Science Press, BeijingGoogle Scholar
  40. 40.
    Yang GH, Li GX, Jie YX (2007) Generalized potential theory of soil constitutive model and its application. China WaterPower Press, BeijingGoogle Scholar
  41. 41.
    Yao YP, Hou W (2008) Uniform hardening model of overconsolidated soil. J Geotech Eng 30(3):316–322Google Scholar
  42. 42.
    Zheng YR, Kong L (2010) Plastic mechanics of geomatrial. China Architecture & Building Press, BeijingGoogle 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

Personalised recommendations