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Prediction of terminal density through a two-surface plasticity model

  • Won, Jongmuk (Department of Civil and Environmental Engineering, University of Ulsan) ;
  • Kim, Jongchan (Department of Civil and Environmental Engineering, University of California at Berkeley) ;
  • Park, Junghee (School of Civil, Environmental and Architectural Engineering, Korea University)
  • Received : 2020.08.14
  • Accepted : 2020.11.30
  • Published : 2020.12.10

Abstract

The prediction of soil response under repetitive mechanical loadings remains challenging in geotechnical engineering applications. Modeling the cyclic soil response requires a robust model validation with an experimental dataset. This study proposes a unique method adopting linearity of model constant with the number of cycles. The model allows the prediction of the terminal density of sediments when subjected to repetitive changes in pore-fluid pressure based on the two-surface plasticity. Model simulations are analyzed in combination with an experimental dataset of sandy sediments when subjected to repetitive changes in pore fluid pressure under constant deviatoric stress conditions. The results show that the modified plastic moduli in the two-surface plasticity model appear to be critical for determining the terminal density. The methodology introduced in this study is expected to contribute to the prediction of the terminal density and the evolution of shear strain at given repetitive loading conditions.

Keywords

Acknowledgement

This work was supported by the 2020 Research Fund of the University of Ulsan.

References

  1. Anderson, K.H. (2009), "Bearing capacity under cyclic loadingoffshore, along the coast, and on land", Can. Geotech. J., 46(5), 513-535. https://doi.org/10.1139/T09-003.
  2. Bardet, J.P. (1986), "Bounding surface plasticity model for sands". J. Eng. Mech., 112(11), 1198-1217. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:11(1198).
  3. Boulon, M. and Foray, P. (1986), "Physical and numerical simulation of lateral shaft friction along offshore piles in sand", Proceedings of the 3rd International Conference on Numerical Methods in Offshore Piling, Nantes, France, May.
  4. Chu, J., Leroueil, S. and Leong, W.K. (2003), "Unstable behaviour of sand and its implication for slope instability", Can. Geotech. J., 40(5), 873-885. https://doi.org/10.1139/t03-039.
  5. Dafalias, Y.F. and Herrmann, L.R. (1982), A Generalized Bounding Surface Constitutive Model for Clays, in Application of Plasticity and Generalized Stress-Strain in Geotechnical Engineering, American Society of Civil Engineers, 78-95.
  6. Dafalias, Y.F. and Popov, E.P. (1975), "A model of nonlinearly hardening materials for complex loadings", Acta Mech., 21(3), 173-192. https://doi.org/10.1007/BF01181053.
  7. Gambolati, G. and Teatini, P. (2015), "Geomechanics of subsurface water withdrawal and injection", Water Resour. Res., 51(6), 3922-3955. https://doi.org/10.1002/2014WR016841.
  8. Hu, C., Liu, H. and Huang, W. (2012), "Anisotropic boundingsurface plasticity model for the cyclic shakedown and degradation of saturated clay", Comput. Geotech., 44, 34-47. https://doi.org/10.1016/j.compgeo.2012.03.009
  9. Jeong, S., Park, J., Ko, J. and Kim, B. (2017), "Analysis of soil resistance on drilled shafts using proposed cyclic p-y curves in weathered soil", Geomech. Eng., 12(3), 505-522. http://doi.org/10.12989/gae.2017.12.3.505.
  10. Krieg, R.D. (1975), "A practical two surface plasticity theory", J. Appl. Mech., 42(3), 641-646. https://doi.org/10.1115/1.3423656.
  11. Leroueil, S., Chu, J. and Wanatowski, D. (2009), "Slope instability due to pore water pressure increase", Proceedings of the 1st Italian Workshop on Landslides, Naples, Italy, June.
  12. Manzari, M.T. and Dafalias, Y.F. (1997), "A critical state twosurface plasticity model for sands", Geotechnique, 47(2), 255-272. https://doi.org/10.1680/geot.1997.47.2.255.
  13. Moghaddas Tafreshi, S.N., Darabi, J. and Dawson, A. (2018), "Cyclic loading response of footing on multi-layered rubber-soil mixtures", Geomech. Eng., 14(2), 115-129. http://doi.org/10.12989/gae.2018.14.2.115.
  14. Molina-Gomez, F., Caicedo, B. and Viana da Fonseca, A. (2019), "Physical modelling of soil liquefaction in a novel micro shaking table", Geomech. Eng., 19(3), 229-240. http://doi.org/10.12989/gae.2019.19.3.229.
  15. Narsilio, A. and Santamarina, J.C. (2008), "Terminal densities", Geotechnique, 58(8), 669-674. https://doi.org/10.1680/geot.2008.58.8.669.
  16. Niemunis, A. and Herle, I. (1997), "Hypoplastic model for cohesionless soils with elastic strain range", Mech. CohesiveFrict. Mater., 2(4), 279-299. https://doi.org/10.1002/(SICI)1099-1484(199710)2:4<279::AID-CFM29>3.0.CO;2-8
  17. Nikitas, G., Arany, L., Aingaran, S., Vimalan, J. and Bhattacharya, S. (2017), "Predicting long term performance of offshore wind turbines using cyclic simple shear apparatus", Soil Dyn. Earthq. Eng., 92, 678-683. https://doi.org/10.1016/j.soildyn.2016.09.010.
  18. Olson, S.M., Stark, T.D., Walton, W.H. and Castro, G. (2000), "1907 static liquefaction flow failure of the north dike of Wachusett dam", J. Geotech. Geoenviron. Eng., 126(12), 1184-1193. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:12(1184).
  19. Park, J. (2018), "Long-term response of soils subjected to repetitive mechanical loads: Engineering implications," Ph.D. Dissertation, Georgia Institute of Technology, Atlanta, Georgia, U.S.A.
  20. Park, J. and Santamarina, J.C. (2019), "Sand response to a large number of loading cycles under zero-lateral-strain conditions: evolution of void ratio and small-strain stiffness", Geotechnique, 69(6), 501-513. https://doi.org/10.1680/jgeot.17.P.124.
  21. Park, J. and Santamarina, J.C. (2020), "Soil response to repetitive changes in pore-water pressure under deviatoric loading", J. Geotech. Geoenviron. Eng., 146(5), 04020023. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002229.
  22. Pasten, C., Shin, H. and Santamarina, J.C. (2014), "Long-term foundation response to repetitive loading", J. Geotech. Geoenviron. Eng., 140(4), 04013036. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001052.
  23. Peng, J., Clarke, B.G. and Rouainia, M. (2006), "A device to cyclic lateral loaded model piles", Geotech. Test. J., 29(4), 341-347. https://doi.org/10.1520/GTJ100226.
  24. Pisano, F. and Jeremic, B. (2014), "Simulating stiffness degradation and damping in soils via a simple visco-elastic-plastic model", Soil Dyn. Earthq. Eng., 63, 98-109. https://doi.org/10.1016/j.soildyn.2014.02.014.
  25. Sonmezer, Y.B. (2019), "Investigation of the liquefaction potential of fiber-reinforced sand", Geomech. Eng., 18(5), 503-513. http://doi.org/10.12989/gae.2019.18.5.503.
  26. Suryatriyastuti, M.E., Mroueh, H. and Burlon, S. (2014), "A load transfer approach for studying the cyclic behavior of thermoactive piles", Comput. Geotech., 55, 378-391. https://doi.org/10.1016/j.compgeo.2013.09.021.
  27. Wu, Y., Hyodo, M. and Aramaki, N. (2018), "Undrained cyclic shear characteristics and crushing behaviour of silica sand", Geomech. Eng., 14(1), 1-8. http://ddoi.org/10.12989/gae.2018.14.1.001.
  28. Yu, H.S. (1998), "CASM: A unified state parameter model for clay and sand", Int. J. Numer. Anal. Met., 22(8), 621-653. https://doi.org/10.1002/(SICI)1096-9853(199808)22:8<621::AID-NAG937>3.0.CO;2-8
  29. Yu, H.S. (2007), Plasticity and Geotechnics, Springer, New York, U.S.A.
  30. Yu, H.S. and Khong, C.D. (2003), "Bounding surface formulation of a unified critical state model for clay and sand", Proceedings of the 3rd International Symposium on Deformation Characteristics of Geomaterials, IS Lyon 2003, Lyon, France, September.
  31. Yu, H.S., Khong, C. and Wang, J. (2007), "A unified plasticity model for cyclic behaviour of clay and sand", Mech. Res. Commun., 34(2), 97-114. https://doi.org/10.1016/j.mechrescom.2006.06.010.
  32. Zhang, B., Mei, C., Huang, B., Fu, X., Luo, G. and Lv, B. (2017), "Model tests on bearing capacity and accumulated settlement of a single pile in simulated soft rock under axial cyclic loading", Geomech. Eng., 12(4), 611-626. http://doi.org/10.12989/gae.2017.12.4.611.