Acta Geotechnica

, Volume 10, Issue 5, pp 587–606 | Cite as

A simple critical state approach to predicting the cyclic and monotonic response of sands with different fines contents using the equivalent intergranular void ratio

Research Paper
First Online:
Received:
Accepted:

Abstract

This paper focuses on developing a simple approach to describing the monotonic and cyclic behavior of sands with fines by employing the concept of equivalent intergranular void ratio, e g * , in the critical state soil mechanics framework. To establish and evaluate this approach, which facilitates the process of predicting the soils behavior and minimizes the experimental work required, a large number of datasets published in the literature for 10 different types of soils are processed and analyzed. The proposed approach makes it possible to predict the behavior and resistance of sands in a unique way for all the fines contents, stress levels and densities, without the need for performing tests at different fines contents. The issue of determining the b value, used as a physical constant in the definition of e g * , and the factors affecting it is studied. In this context, a recently established b-predicting equation is evaluated and its empirical parameters are calibrated with various datasets. Examining the influence of grading parameters on the b value resulted in a strong relationship between b and the particle size ratio. The results also show that the b value can be reliably estimated using the experimental data available at only two fines contents of 0 and 23 %.

Keywords

b value Critical state Equivalent intergranular void ratio State parameter Stress ratio Threshold fines content 
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Notes

Acknowledgments

The authors would like to gratefully thank Professor Matthew Richard Coop for his valuable contribution to this work by reviewing the paper and making helpful comments and suggestions.

References

  1. 1.
    Baki MAL, Rahman MM, Lo SR, Gnanendran CT (2012) Linkage between static and cyclic liquefaction of loose sand with a range of fines contents. Can Geotech J 49(8):891–906CrossRefGoogle Scholar
  2. 2.
    Been K, Jefferies M (2004) Stress-dilatancy in very loose sand. Can Geotech J 41(5):972–989CrossRefGoogle Scholar
  3. 3.
    Been K, Jefferies MG (1985) A state parameter for sands. Geotechnique 35(2):99–112CrossRefGoogle Scholar
  4. 4.
    Been K, Jefferies MG, Crooks JHA, Rothenburg L (1987) The cone penetration test in sands: part II, general influence of state. Geotechnique 37(3):285–299CrossRefGoogle Scholar
  5. 5.
    Bobei DC, Lo SR, Wanatowski D, Gnanendran CT, Rahman MM (2009) Modified state parameter for characterizing static liquefaction of sand with fines. Can Geotech J 46(3):281–295CrossRefGoogle Scholar
  6. 6.
    Coop MR (2003) On the mechanics of reconstituted and natural sands. Keynote lecture, In: Proceedings of the 3rd international symposium on deformation characteristics of geomaterials, Swets and Zeitlinger, Lisse, The Netherlands, vol 2, pp 29–58Google Scholar
  7. 7.
    Coop MR, Klotz EU, Clinton L (2005) The influence of the in situ state of sands on the load–deflection behaviour of driven piles. Geotechnique 55(10):721–730CrossRefGoogle Scholar
  8. 8.
    Dash HK, Sitharam TG (2009) Undrained cyclic pore pressure response of sand-silt mixtures: effect of nonplastic fines and other parameters. J Geotech Geolog Eng 27(4):501–517CrossRefGoogle Scholar
  9. 9.
    Dash HK, Sitharam TG (2011) Undrained cyclic and monotonic strength of sand–silt mixtures. J Geotech Geolog Eng 29(4):555–570CrossRefGoogle Scholar
  10. 10.
    Georgiannou VN, Burland JB, Hight DW (1990) The undrained behaviour of clayey sands in triaxial compression and extension. Geotechnique 40(3):431–449CrossRefGoogle Scholar
  11. 11.
    Hazirbaba K (2005) Pore pressure generation characteristics of sands and silty sands: a strain approach. PhD thesis, University of Texas, AustinGoogle Scholar
  12. 12.
    Huang AB, Chuang SY (2011) Correlating cyclic strength with fines contents through state parameters. Soils Found 51(6):991–1001CrossRefGoogle Scholar
  13. 13.
    Huang YT, Huang AB, Kuo YC, Tsai MD (2004) A laboratory study on the undrained strength of silty sand from Central Western Taiwan. Soil Dyn Earthq Eng 24(9):733–743CrossRefGoogle Scholar
  14. 14.
    Jovicic V, Coop MR (1997) Stiffness of coarse grained soils at small strains. Geotechnique 47(3):545–561CrossRefGoogle Scholar
  15. 15.
    Kanagalingam T, Thevanayagam S (2005) Discussion on “contribution of fines to the compressive strength of mixed soils”. Geotechnique 55(8):627–628CrossRefGoogle Scholar
  16. 16.
    Kenney TC (1977) Residual strength of mineral mixture. In: Proceedings of the 9th international conference of soil mechanics and foundation engineering, Tokyo, Japan, vol 1, pp 155–160Google Scholar
  17. 17.
    Klotz EU, Coop MR (2001) An investigation of the effect of soil state on the capacity of driven piles in sands. Geotechnique 51(9):733–751CrossRefGoogle Scholar
  18. 18.
    Koester JP (1994) The influence of fines type and content on cyclic strength. Ground failures under seismic conditions. Geotech Special Pub ASCE 44:17–33Google Scholar
  19. 19.
    Konrad JM (1988) Interpretation of flat plate dilatometer tests in sands in terms of the state parameter. Geotechnique 38(2):263–277CrossRefGoogle Scholar
  20. 20.
    Kuerbis R, Negussey D, Vaid YP (1988) Effect of gradation and fines content on the undrained response of sand. Hydraul Fill Struct Geotech Special Pub ASCE 21:330–345Google Scholar
  21. 21.
    Kumar GV, Muir Wood D (1997) Mechanical behaviour of mixtures of kaolin and coarse sand. IUTAM symposium on mechanics of granular and porous materials. Springer, Netherlands, pp 57–68CrossRefGoogle Scholar
  22. 22.
    Maleki M, Ezzatkhah A, Bayat M, Mousivand M (2011) Effect of physical parameters on static undrained resistance of sandy soil with low silt content. Soil Dyn Earthq Eng 31(10):1324–1331CrossRefGoogle Scholar
  23. 23.
    McGeary RK (1961) Mechanical packing of spherical particles. J Am Ceram Soc 44(10):513–522CrossRefGoogle Scholar
  24. 24.
    Mitchell JK (1976) Fundamentals of soil behavior. Wiley, New YorkGoogle Scholar
  25. 25.
    Murthy TG, Loukidis D, Carraro JAH, Prezzi M, Salgado R (2007) Undrained monotonic response of clean and silty sands. Geotechnique 57(3):273–288CrossRefGoogle Scholar
  26. 26.
    Naeini SA, Baziar MH (2004) Effect of fines content on steady-state strength of mixed and layered samples of a sand. Soil Dyn Earthq Eng 24(3):181–187CrossRefGoogle Scholar
  27. 27.
    Ng CWW, Fung WT, Cheuk CY, Zhang L (2004) Influence of stress ratio and stress path on behavior of loose decomposed granite. J Geotech Geoenviron Eng ASCE 130(1):36–44CrossRefGoogle Scholar
  28. 28.
    Ni Q, Dasari GR, Tan TS (2006) Equivalent granular void ratio for characterization of Singapore’s old alluvium. Can Geotech J 43(6):563–573CrossRefGoogle Scholar
  29. 29.
    Ni Q, Tan TS, Dasari GR, Hight DW (2004) Contribution of fines to the compressive strength of mixed soils. Geotechnique 54(9):561–569CrossRefGoogle Scholar
  30. 30.
    Papadopoulou A, Tika T (2008) The effect of fines on critical state and liquefaction resistance characteristics of non-plastic silty sands. Soils Found 48(5):713–725CrossRefGoogle Scholar
  31. 31.
    Polito CP (1999) The effects of non-plastic and plastic fines on the liquefaction of sandy soils. PhD thesis, The Virginia Polytechnic Institute and State University, Blacksburg, VAGoogle Scholar
  32. 32.
    Polito CP, Martin JR (2001) Effects of nonplastic fines on the liquefaction resistance of sands. J Geotech Geoenviron Eng ASCE 127(7):408–415CrossRefGoogle Scholar
  33. 33.
    Qadimi A (2005) The cyclic response of a carbonate sand through critical state soil mechanics. PhD thesis, Imperial College, LondonGoogle Scholar
  34. 34.
    Qadimi A, Coop MR (2007) The undrained cyclic behaviour of a carbonate sand. Geotechnique 57(9):739–750CrossRefGoogle Scholar
  35. 35.
    Rahman MM, Lo SR (2008) The prediction of equivalent granular steady state line of loose sand with fines. Geomech Geoeng 3(3):179–190CrossRefGoogle Scholar
  36. 36.
    Rahman MM, Lo SR, Baki MAL (2011) Equivalent granular state parameter and undrained behaviour of sand-fines mixtures. Acta Geotech 6(4):183–194CrossRefGoogle Scholar
  37. 37.
    Rahman MM, Lo SR, Gnanendran CT (2008) On equivalent granular void ratio and steady state behaviour of loose sand with fines. Can Geotech J 45(10):1439–1456CrossRefGoogle Scholar
  38. 38.
    Stamatopoulos C (2010) An experimental study of the liquefaction strength of silty sands in terms of the state parameter. Soil Dyn Earthq Eng 30(8):662–678CrossRefGoogle Scholar
  39. 39.
    Thevanayagam S (1998) Effect of fines and confining stress on undrained shear strength of silty sands. J Geotech Geoenviron Eng ASCE 124(6):479–491CrossRefGoogle Scholar
  40. 40.
    Thevanayagam S (2000) Liquefaction potential and undrained fragility of silty soils. In: Proceedings of the 12th world conference on earthquake engineering, Auckland, New Zealand, vol 8Google Scholar
  41. 41.
    Thevanayagam S, Martin GR (2002) Liquefaction in silty soils-screening and remediation issues. Soil Dyn Earthq Eng 22(9):1035–1042CrossRefGoogle Scholar
  42. 42.
    Thevanayagam S, Shenthan T, Mohan S, Liang J (2002) Undrained fragility of clean sands, silty sands, and sandy silts. J Geotech Geoenviron Eng ASCE 128(10):849–859CrossRefGoogle Scholar
  43. 43.
    Verdugo R, Ishihara K (1996) The steady state of sandy soils. Soils Found 36(2):81–91CrossRefGoogle Scholar
  44. 44.
    Xenaki VC, Athanasopoulos GA (2003) Liquefaction resistance of sand–silt mixtures: an experimental investigation of the effect of fines. Soil Dyn Earthq Eng 23(3):1–12CrossRefGoogle Scholar
  45. 45.
    Yang SL, Lacasse S, Sandven R (2006) Determination of the transitional fines content of mixtures of sand and non-plastic fines. Geotech Test J ASTM 29(2):102–107Google Scholar
  46. 46.
    Yang SL, Sandven R, Grande L (2006) Instability of sand–silt mixtures. Soil Dyn Earthq Eng 26(2):183–190CrossRefGoogle Scholar
  47. 47.
    Yang SL, Sandven R, Grande L (2006) Steady-state lines of sand–silt mixtures. Can Geotech J 43(11):1213–1219CrossRefGoogle Scholar
  48. 48.
    Yasuda S, Wakamatsu K, Nagase H (1994) Liquefaction of artificially filled silty sands. Ground failures under seismic conditions. Geotech Special Pub ASCE 44:91–104Google Scholar
  49. 49.
    Zlatovic S, Ishihara K (1995) On the influence of nonplastic fines on residual strength. Proceedings of the 1st International Conference on earthquake geotechnical engineering. Tokyo, Japan, pp 239–244Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of Civil EngineeringBu-Ali Sina UniversityHamedanIran

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