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Shear modulus and damping relationships for dynamic analysis of compacted backfill soils

  • Moatez M. Alhassan
  • Daniel R. VandenBerge
Practice-oriented Paper
  • 31 Downloads

Abstract

Dynamic analysis of structures often considers the effects of soil–structure interaction which requires estimation of the shear modulus and damping ratio of the soil. While the in situ properties can be measured, the properties of the backfill soils that surround substructures are rarely available at the time of design and in many cases are never measured. This study provides a practical means of estimating properties for compacted coarse-grained soils based on relative density. The results of more than 400 tests gathered from the literature were used to develop correlations between the small strain shear modulus, Gmax and relative density for compacted coarse-grained soils, which can be used when the mechanical properties are not available. The proposed relationships better distinguish between the behavior of sand and gravel compared to existing correlations. Best-fit hyperbolic curves are also presented for the variation of normalized shear modulus and damping ratio with shear strain for compacted coarse-grained soils to represent the nonlinear behavior of the backfill in the dynamic analysis.

Keywords

Dynamic shear modulus Damping ratio Relative density Coarse-grained soil 

References

  1. 1.
    Chung RM, Yokel FY, Drnevich VP (1984) Evaluation of dynamic properties of sands by resonant column testing. Geotech Test J 7:60–69.  https://doi.org/10.1520/GTJ10594J CrossRefGoogle Scholar
  2. 2.
    Chen G, Zhou Z, Sun T, Wu Q, Xu L, Khoshnevisan S, Ling D (2018) Shear modulus and damping ratio of sand–gravel mixtures over a wide strain range. J Earthq Eng.  https://doi.org/10.1080/13632469.2017.1387200 CrossRefGoogle Scholar
  3. 3.
    Dong J, Nakamura K, Tatsuoka F, Kohata Y (1994) Deformation characteristics of gravels in triaxial compression tests and cyclic triaxial tests. In: Shibuya S, Mitachi T (eds) Pre-failure deformation of geomaterials. Balkema, Rotterdam, pp 17–23Google Scholar
  4. 4.
    Darendeli BM (2001) Development of a new family of normalize modulus reduction and material damping curves. Ph.D. dissertation, University of Texas at AustinGoogle Scholar
  5. 5.
    Gazetas G (1991) Foundation vibrations. In: Fang HY (ed) Foundation engineering handbook, chap 15, 2nd ed. Van Nostrand Reinholds, New York, pp 553–593CrossRefGoogle Scholar
  6. 6.
    GoTo S, Suzuki Y, Nishio S, Oh-Oka H (1992) Mechanical properties of undisturbed Tone river gravel obtained by in situ freezing method. J. Soils Found 32:15–25.  https://doi.org/10.3208/sandf1972.32.3_15 CrossRefGoogle Scholar
  7. 7.
    Hardin BO, Richart FE (1963) Elastic wave velocities in granular soils. J Soil Mech Found Div 89:33–65Google Scholar
  8. 8.
    Hardin BO (1965) Dynamic versus static shear modulus for dry sand. Mater Res Stand 5:232–235Google Scholar
  9. 9.
    Hardin BO, Drnevich VP (1970) Shear modulus and damping in soils. Technical report UKY 26-70-CE 2, College of Engineering, University of KentuckyGoogle Scholar
  10. 10.
    Hardin BO, Drnevich VP (1972) Shear modulus and damping in soils. J Soil Mech Found Div ASCE 7:667–692Google Scholar
  11. 11.
    Hatanaka M, Suzuki Y, Kawasaki T, Endo M (1988) Cyclic undrained shear properties of high quality undisturbed Tokyo gravel. J Soils Found 28:57–68.  https://doi.org/10.3208/sandf1972.28.4_57 CrossRefGoogle Scholar
  12. 12.
    Hubler JF, Zekkos D (2017) Monotonic, cyclic, and postcyclic simple shear response of three uniform gravels in constant volume conditions. J Geotech Geoenviron Eng 143:1–12.  https://doi.org/10.1061/(ASCE)GT.1943-5606.0001723 CrossRefGoogle Scholar
  13. 13.
    Iwasaki T, Tatsuoka F, Takagi Y (1978) Shear moduli of sands under cyclic torsional shear loading. J Soils Found 18:39–56.  https://doi.org/10.3208/sandf1972.18.39 CrossRefGoogle Scholar
  14. 14.
    Ishihara K, Yoshida N, Tsujino S (1985) Modelling of stress-strain relations of soils in cyclic loading. In: International conference on numerical methods in geomechanics, pp 373–380Google Scholar
  15. 15.
    Ishibashi I, Zhang XJ (1993) Unified dynamic shear moduli and damping ratios of sand and clay. J Soils Found 33:182–191.  https://doi.org/10.3208/sandf1972.33.182 CrossRefGoogle Scholar
  16. 16.
    Lin P, Chang C, Chang W (2004) Characterization of liquefaction resistance in gravelly soil: large hammer penetration test and shear wave velocity approach. J Soil Dyn Earthq Eng 24:675–687.  https://doi.org/10.1016/j.soildyn.2004.06.010 CrossRefGoogle Scholar
  17. 17.
    Matasović N, Vucetic M (1993) cyclic characterization of liquefiable sands. J Geotech Eng ASCE 11:1805–1822.  https://doi.org/10.1061/(ASCE)0733-9410(1993)119:11(1805) CrossRefGoogle Scholar
  18. 18.
    Menq FY (2003) Dynamic properties of sandy and gravelly soils. Ph.D. dissertation, University of Texas at AustinGoogle Scholar
  19. 19.
    Rollins KM, Evans MD, Diehl NB, Daily WD (1998) Shear modulus and damping relationships for gravels. J Geotech Geoenviron Eng 124:396–405.  https://doi.org/10.1061/(ASCE)1090-0241(1998)124:5(396) CrossRefGoogle Scholar
  20. 20.
    Seed HB, Idriss IM (1970) Soil moduli and damping factors for dynamic response analyses. Report EERC 70–10, College of Engineering, University of CaliforniaGoogle Scholar
  21. 21.
    Seed HB, Wong RT, Idriss IM, Tokimatsu K (1986) Moduli and damping factors for dynamic analyses of cohesionless soil. J Geotech Eng 112:1016–1032.  https://doi.org/10.1061/(ASCE)07339410(1986)112:11(1016) CrossRefGoogle Scholar
  22. 22.
    Senetakis K, Anastasiadis A, Pitilakis K (2012) The small-strain shear modulus and damping ratio of quartz and volcanic sands. Geotech Test J 35:964–980.  https://doi.org/10.1520/GTJ20120073 CrossRefGoogle Scholar
  23. 23.
    Senetakis K, Anastasiadis A, Pitilakis K, Coop MR (2013) The dynamics of pumice granular soil in dry state under isotropic resonant column testing. Soil Dyn Earthq Eng 45:70–79.  https://doi.org/10.1016/j.soildyn.2012.11.009 CrossRefGoogle Scholar
  24. 24.
    Senetakis K, Anastasiadis A, Pitilakis K (2013) Normalized shear modulus reduction and damping ratio curves of quartz sand and rhyolitic crushed rock. J Soils Found 53:879–893.  https://doi.org/10.1016/j.sandf.2013.10.007 CrossRefGoogle Scholar
  25. 25.
    Senetakis K, Madhusudhan BN (2015) Dynamics of potential fill-back fill material at very small strains. J Soils Found 55:1196–1210.  https://doi.org/10.1016/j.sandf.2015.09.019 CrossRefGoogle Scholar
  26. 26.
    Stokoe KH, Darendeli MB, Andrus RD, Brown LT (1999) Dynamic soil properties: laboratory, field and correlation studies. In: Proceedings of the 2nd international conference on earthquake geotechnical engineering, vol 3, pp 811–845Google Scholar
  27. 27.
    Tokimatsu K, Hosaka Y (1986) Effects of sample disturbance on dynamic properties of sand. J Soils Found 26:53–64.  https://doi.org/10.3208/sandf1972.26.53 CrossRefGoogle Scholar
  28. 28.
    Wichtmann T, Triantafyllidis T (2009) On the influence of the grain size distribution curve of quartz sand on the small strain shear modulus Gmax. J Geotech Geoenviron Eng 135:1404–1418.  https://doi.org/10.1061/(ASCE)GT.1943-5606.0000096 CrossRefGoogle Scholar
  29. 29.
    Wichtmann T, Triantafyllidis T (2013) Effect of uniformity coefficient on G/Gmax and damping ratio of uniform to well-graded quartz sands. J Geotech Geoenviron Eng ASCE 139:59–72.  https://doi.org/10.1061/(ASCE)GT.1943-5606.0000735 CrossRefGoogle Scholar
  30. 30.
    Wichtmann T, Hernández MN, Triantafyllidis Th (2015) on the influence of a non-cohesive fines content on small strain stiffness, modulus degradation and damping of quartz sand. Soil Dyn Earthq Eng 69:103–114.  https://doi.org/10.1016/j.soildyn.2014.10.017 CrossRefGoogle Scholar
  31. 31.
    Zhang J, Andrus R, Juang C (2005) Normalized shear modulus and material damping ratio relationship. J Geotech Geoenviron Eng 131:453–464.  https://doi.org/10.1061/(ASCE)10900241(2005)131:4(453) CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Civil and Environmental EngineeringTennessee Tech UniversityCookevilleUSA
  2. 2.Department of Civil EngineeringAlmuthanna UniversityAL samawahIraq

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