Skip to main content
SpringerLink
Log in

A new method of developing elastic-plastic-viscous constitutive model for clays

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

A new method is presented to develop the existing elastic-plastic constitutive model into an elastic-plastic-viscous one for clays. The actual loading process is divided into an instant process and a delayed process denoting the elastic-plastic strain and viscous strain, respectively. The elastic-plastic strain is determined by either an elastic-plastic model for overconsolidated clays or an improved model based on the elastic-plastic model for normally consolidated clays. In order to calculate viscous strain, a reference state line is defined based on the actual loading path. Combining the reference state line, an existing elastic-plastic model can be conveniently developed into an elastic-plastic-viscous model. Furthermore, using the proposed method, the modified cam clay model is extended into an elastic-plastic-viscous model. Comparisons with test results demonstrate that the extended model can capture the main time-dependent behaviours of clays, including creep, stress relaxation and strain rate effects.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Liingaard M, Augustesen A, Lade P V. Characterization of models for time-dependent behavior of soils. Int J Geomech, 2004, 4: 157–177

    Google Scholar 

  2. Sivasithamparam N, Karstunen M, Bonnier P. Modelling creep behaviour of anisotropic soft soils. Comput Geotech, 2015, 69: 46–57

    Google Scholar 

  3. Feng W Q, Lalit B, Yin Z Y, et al. Long-term non-linear creep and swelling behavior of Hong Kong marine deposits in oedometer condition. Comput Geotech, 2017, 84: 1–15

    Google Scholar 

  4. Wang Z, Wong R C K. Strain-dependent and stress-dependent creep model for a till subject to triaxial compression. Int J Geomech, 2016, 16: 04015084

    Google Scholar 

  5. Yin Z Y, Zhu Q Y, Zhang D M. Comparison of two creep degradation modeling approaches for soft structured soils. Acta Geotech, 2017, 12: 1395–1413

    Google Scholar 

  6. Zhu J G. Experimental study and elastic visco-plastic modelling of the time dependent behavior of Hong Kong marine deposits. Dissertation of Doctoral Degree. Hong Kong: Hong Kong Polytechnic University, 2000

    Google Scholar 

  7. Li D W, Fan J H, Wang R H. Research on visco-elastic-plastic creep model of artificially frozen soil under high confining pressures. Cold Regions Sci Tech, 2011, 65: 219–225

    Google Scholar 

  8. Madaschi A, Gajo A. A one-dimensional viscoelastic and viscoplastic constitutive approach to modeling the delayed behavior of clay and organic soils. Acta Geotech, 2017, 12: 827–847

    Google Scholar 

  9. Zhou H W, Wang C P, Han B B, et al. A creep constitutive model for salt rock based on fractional derivatives. Int J Rock Mech Min Sci, 2011, 48: 116–121

    Google Scholar 

  10. Desai C S, Sane S, Jenson J. Constitutive modeling including creep-and rate-dependent behavior and testing of glacial tills for prediction of motion of glaciers. Int J Geomech, 2011, 11: 465–476

    Google Scholar 

  11. Kong Y, Xu M, Song E. An elastic-viscoplastic double-yield-surface model for coarse-grained soils considering particle breakage. Comput Geotech, 2017, 85: 59–70

    Google Scholar 

  12. Yin Z Y, Karstunen M, Chang C S, et al. Modeling time-dependent behavior of soft sensitive clay. J Geotech Geoenviron Eng, 2011, 137: 1103–1113

    Google Scholar 

  13. Wang S, Wu W, Yin Z Y, et al. Modelling the time-dependent behaviour of granular material with hypoplasticity. Int J Numer Anal Methods Geomech, 2018, 42: 1331–1345

    Google Scholar 

  14. Yang C, Carter J P, Sheng D, et al. An isotach elastoplastic constitutive model for natural soft clays. Comput Geotech, 2016, 77: 134–155

    Google Scholar 

  15. Yao Y P, Kong L M, Zhou A N, et al. Time-dependent unified hardening model: Three-dimensional elastoviscoplastic constitutive model for clays. J Eng Mech, 2015, 141: 04014162

    Google Scholar 

  16. Yao Y P, Kong L M, Hu J. An elastic-viscous-plastic model for overconsolidated clays. Sci China Tech Sci, 2013, 56: 441–457

    Google Scholar 

  17. Yin Z Y, Xu Q, Yu C. Elastic-viscoplastic modeling for natural soft clays considering nonlinear creep. Int J Geomech, 2015, 15: A6014001

    Google Scholar 

  18. Tong X, Tuan C Y. Viscoplastic cap model for soils under high strain rate loading. J Geotech Geoenviron Eng, 2007, 133: 206–214

    Google Scholar 

  19. Cassiani G, Brovelli A, Hueckel T. A strain-rate-dependent modified Cam-Clay model for the simulation of soil/rock compaction. Geomech Energy Environ, 2017, 11: 42–51

    Google Scholar 

  20. Adachi T, Oka F, Mimura M. Mathematical structure of an overstress elasto-viscoplastic model for clay. Soils Found, 1987, 27: 31–42

    Google Scholar 

  21. Yin Z Y, Hicher P Y. Identifying parameters controlling soil delayed behaviour from laboratory and in situ pressuremeter testing. Int J Numer Anal Meth Geomech, 2008, 32: 1515–1535

    MATH  Google Scholar 

  22. Rowe R K, Hinchberger S D. The significance of rate effects in modelling the Sackville test embankment. Can Geotech J, 1998, 35: 500–516

    Google Scholar 

  23. Perzyna P. Fundamental problems in viscoplasticity. Adv Appl Mech, 1966, 9: 243–377

    Google Scholar 

  24. Perzyna P. The constitutive equations for rate sensitive plastic materials. Quart Appl Math, 1963, 20: 321–332

    MathSciNet  MATH  Google Scholar 

  25. Hinchberger S D, Rowe R K. Modelling the rate-sensitive characteristics of the Gloucester foundation soil. Can Geotech J, 1998, 35: 769–789

    Google Scholar 

  26. Islam M N, Gnanendran C T. Elastic-viscoplastic model for clays: Development, validation, and application. J Eng Mech, 2017, 143: 04017121

    Google Scholar 

  27. Kutter B L, Sathialingam N. Elastic-viscoplastic modelling of the rate-dependent behaviour of clays. Géotechnique, 1992, 42: 427–441

    Google Scholar 

  28. Qiao Y, Ferrari A, Laloui L, et al. Nonstationary flow surface theory for modeling the viscoplastic behaviors of soils. Comput Geotech, 2016, 76: 105–119

    Google Scholar 

  29. Katona M G. Evaluation of viscoplastic cap model. J Geotech Eng, 1984, 110: 1106–1125

    Google Scholar 

  30. Sekiguchi H. Theory of undrained creep rupture of normally consolidated clay based on elasto-viscoplasticity. Soils Found, 1984, 24: 129–147

    Google Scholar 

  31. Yin J H, Graham J. Elastic viscoplastic modelling of the time-dependent stress-strain behaviour of soils. Can Geotech J, 1999, 36: 736–745

    Google Scholar 

  32. Yin J H, Zhu J G, Graham J. A new elastic viscoplastic model for time-dependent behaviour of normally and overconsolidated clays: Theory and verification. Can Geotech J, 2002, 39: 157–173

    Google Scholar 

  33. Bjerrum L. Engineering geology of Norwegian normally-consolidated marine clays as related to settlements of building. Géotechnique, 1967, 17: 83–118

    Google Scholar 

  34. Xiao Y, Liu H L, Liu H, et al. Unified plastic modulus in the bounding surface plasticity model. Sci China Tech Sci, 2016, 59: 932–940

    Google Scholar 

  35. Dafalias Y F. Bounding surface plasticity. I: Mathematical foundation and hypoplasticity. J Eng Mech, 1986, 112: 966–987

    Google Scholar 

  36. Yao Y P, Hou W, Zhou A N. UH model: Three-dimensional unified hardening model for overconsolidated clays. Géotechnique, 2009, 59: 451–469

    Google Scholar 

  37. Bodas Freitas T M, Potts D M, Zdravkovic L. Implications of the definition of the Φ function in elastic-viscoplastic models. Géotechnique, 2012, 62: 643–648

    Google Scholar 

  38. Kelln C, Sharma J, Hughes D, et al. An improved elastic-viscoplastic soil model. Can Geotech J, 2008, 45: 1356–1376

    Google Scholar 

  39. Leoni M, Karstunen M, Vermeer P A. Anisotropic creep model for soft soils. Géotechnique, 2008, 58: 215–226

    Google Scholar 

  40. Yin Z Y, Chang C S, Karstunen M, et al. An anisotropic elastic-viscoplastic model for soft clays. Int J Solids Struct, 2010, 47: 665–677

    MATH  Google Scholar 

  41. Wang L Z, Dan H B, Li L L. Modeling strain-rate dependent behavior of KR0-consolidated soft clays. J Eng Mech, 2012, 138: 738–748

    Google Scholar 

  42. Yin Z Y, Zhu Q Y, Yin J H, et al. Stress relaxation coefficient and formulation for soft soils. Géotech Lett, 2014, 4: 45–51

    Google Scholar 

  43. Kongkitkul W, Kawabe S, Tatsuoka F, et al. A simple pneumatic loading system controlling stress and strain rates for one-dimensional compression of clay. Soils Found, 2011, 51: 11–30

    Google Scholar 

  44. Nash D F T, Sills G C, Davison L R. One-dimensional consolidation testing of soft clay from Bothkennar. Géotechnique, 1992, 42: 241–256

    Google Scholar 

  45. Zhang X, Lytton R L. Modified state-surface approach to the study of unsaturated soil behavior. Part III: Modeling of coupled hydro-mechanical effect. Can Geotech J, 2012, 49: 98–120

    Google Scholar 

  46. Lu D, Ma C, Du X, et al. Development of a new nonlinear unified strength theory for geomaterials based on the characteristic stress concept. Int J Geomech, 2017, 17: 04016058

    Google Scholar 

  47. Ma C, Lu D, Du X, et al. Developing a 3D elastoplastic constitutive model for soils: A new approach based on characteristic stress. Comput Geotech, 2017, 86: 129–140

    Google Scholar 

  48. Voyiadjis G Z, Song C R. Finite strain, anisotropic modified cam clay model with plastic spin. I: Theory. J Eng Mech, 2000, 126: 1012–1019

    Google Scholar 

  49. Yin Z Y, Jin Y F, Shen J S, et al. Optimization techniques for identifying soil parameters in geotechnical engineering: Comparative study and enhancement. Int J Numer Anal Methods Geomech, 2018, 42: 70–94

    Google Scholar 

  50. Jin Y F, Yin Z Y, Zhou W H, et al. A single-objective EPR based model for creep index of soft clays considering L2 regularization. Eng Geol, 2019, 248: 242–255

    Google Scholar 

  51. Yin Z Y, Jin Y F, Shen S L, et al. An efficient optimization method for identifying parameters of soft structured clay by an enhanced genetic algorithm and elastic-viscoplastic model. Acta Geotech, 2017, 12: 849–867

    Google Scholar 

  52. Yin Z Y, Yin J H, Huang H W. Rate-dependent and long-term yield stress and strength of soft Wenzhou marine clay: Experiments and modeling. Mar Georesources Geotech, 2015, 33: 79–91

    Google Scholar 

  53. Lacerda W A. Stress-relaxation and creep effects on soil deformation. Dissertation of Doctoral Degree. Berkeley: University of California, 1976

    Google Scholar 

  54. Jiang J, Ling H I, Kaliakin V N, et al. Evaluation of an anisotropic elastoplastic-viscoplastic bounding surface model for clays. Acta Geotech, 2017, 12: 335–348

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing, 100124, China

    DeChun Lu, JinBo Miao, XiuLi Du & JingYu Liang

Authors
  1. DeChun Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. JinBo Miao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. XiuLi Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. JingYu Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to XiuLi Du.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51522802, 51778026, 51421005 & 51538001) and the Natural Science Foundation of Beijing (Grant No. 8161001).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lu, D., Miao, J., Du, X. et al. A new method of developing elastic-plastic-viscous constitutive model for clays. Sci. China Technol. Sci. 63, 303–318 (2020). https://doi.org/10.1007/s11431-018-9469-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-018-9469-9

Search

Navigation