Large-Strain Damping of Sands: Parameter Effects
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 147, Issue 9
Abstract
A recently developed damping calculation method for undrained load-controlled cyclic tests was implemented on some 70 cyclic triaxial and direct simple shear tests conducted by various researchers on a range of different sands for a correct understanding of the high-strain (0.1%–4%) damping behavior of sands. The effect of various controlling parameters was investigated, including the shear strain, confining stress, number of cycles, void ratio, gradation, nonplastic fines content, and overconsolidation ratio. The data analysis shows that general trends at high strains are in good agreement with the damping behavior of sands at small strains. The results also indicate a direct correlation between the damping behavior of sands and cyclic strength. The recently proposed guideline on load-controlled damping ratio bounds for clean sands at high strains was also in good agreement with the damping behavior of sands with nonplastic fines content up to 25%.
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Data Availability Statement
Some or all data, models, or code used during the study were provided by a third party. Direct requests for these materials may be made to the provider as indicated in the Acknowledgments.
Acknowledgments
The authors gratefully acknowledge the cooperation of Professor Carmine Polito, Tim Roy, Professor Torsten Wichtmann, Dr. Ana M. Parra Bastidas, Professor Majid T. Manzari, and Dr. Mohamed A. El Ghoraiby. They variously contributed experimental data and comments on this study. This article is dedicated to the memory of Professor Horst G. Brandes, who passed away shortly before the publication of the article. He was a brilliant engineer, teacher, mentor, and a great friend.
References
Bolton, M. D., and J. M. R. Wilson. 1990. “Soil stiffness and damping.” In Structural dynamics. Rotterdam, Netherlands: A. A. Balkema.
Cao, Y. L., and K. T. Law. 1991. “Energy approach for liquefaction of sandy and clayey silts.” In Proc., 2nd Int. Conf. on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, 491–497. St. Louis: Univ. of Missouri.
Carraro, J., P. Bandini, and R. Salgado. 2003. “Liquefaction resistance of clean nonplastic silty sands based on cone penetration resistance.” J. Geotech. Geoenviron. Eng. 129 (11): 965–976. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:11(965).
Chien, L.-K., Y.-N. Oh, C.-H. Chang. 2002. “Effects of fines content on liquefaction strength and dynamic settlement of reclaimed soil.” Can. Geotech. J. 1 (May): 254–265. https://doi.org/10.1139/t01-083.
Chung, R. M., F. Y. Yokel, and V. P. Drnevich. 1984. “Evaluation of dynamic properties of sands by resonant column testing.” Geotech. Test. J. 7 (2): 60–69. https://doi.org/10.1520/GTJ10594J.
Darendeli, M. B., K. H. Stokoe, E. M. Rathje, and C. J. Roblee. 2001. “Importance of confining pressure on nonlinear soil behavior and its impact on earthquake response predictions of deep sites.” In Proc., 15th Int. Conf. on Soil Mechanics and Geotechnical Engineering. Rotterdam, Netherlands: A.A. Balkema.
Darendereli, M. B. 2001. “Development of a new family of normalized modulus reduction and material damping curves.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Texas at Austin.
De Alba, P., H. B. Seed, and C. K. Chan. 1976. “Sand liquefaction in large scale simple shear tests.” J. Geotech. Eng. Div. 102 (9): 909–927. https://doi.org/10.1061/AJGEB6.0000322.
Dobry, R., R. S. Ladd, F. Y. Yokel, R. M. Chung, and D. Powell. 1982. Prediction of pore water pressure buildup and liquefaction of sands during earthquakes by the cyclic strain method. Gaithersburg, MD: National Bureau of Standards.
Doygun, O., and H. G. Brandes. 2020. “High strain damping for sands from load-controlled cyclic tests: Correlation between stored strain energy and pore water pressure.” Soil Dyn. Earthquake Eng. 134 (Jul) 106134. https://doi.org/10.1016/j.soildyn.2020.106134.
Doygun, O., H. G. Brandes, and T. T. Roy. 2019. “Effect of gradation and non-plastic fines on monotonic and cyclic simple shear strength of silica sand.” Geotech. Geol. Eng. 37 (4): 3221–3240. https://doi.org/10.1007/s10706-019-00838-9.
El Ghoraiby, M. A., and M. T. Manzari. 2018. “Liquefaction experiments and analysis projects (LEAP): Stress-strain response of Ottawa F65 sand in cyclic direct simple shear tests.” Accessed December 4, 2018. https://www.designsafe-ci.org/data/browser/public/designsafe.storage.published/PRJ-2137.
Green, R. A. 2001. “Energy-based evaluation and remediation of liquefiable soils.” Ph.D. dissertation, Dept. of Civil Engineering, Virginia Polytechnic Institute and State Univ.
Hardin, B. O., and W. L. Black. 1966. “Sand stiffness under various triaxial stresses.” J. Soil Mech. Found. Div. 92 (2): 27–42. https://doi.org/10.1061/JSFEAQ.0000865.
Hardin, B. O., and W. L. Black. 1969. “Closure to ‘Vibration modulus of normally consolidated clay’.” J. Soil Mech. Found. Div. 95 (6): 1531–1537. https://doi.org/10.1061/JSFEAQ.0001364.
Hardin, B. O., and V. P. Drnevich. 1972. “Shear modulus and damping in soils: Measurement and parameter effects.” J. Soil Mech. Found. Div. 98 (6): 603–624. https://doi.org/10.1061/JSFEAQ.0001756.
Idriss, I. M., and R. W. Boulanger. 2008. Soil liquefaction during earthquakes. Oakland, CA: Earthquake Engineering Research Institute.
Imazu, M., and K. Fukutake. 1986. “Dynamic shear modulus and damping ratio of gravel materials.” [In Japanese.] In Proc., 21st Annual Convention of JSSMFE, 509–512. Tokyo: Japanese Geotechnical Society.
Ishihara, K. 1996. Soil behavior in earthquake geotechnics. Oxford, UK: Oxford University Press.
Kokusho T. 1980. “Cyclic triaxial test of dynamic soil properties for wide strain range.” Soils Found. 20 (2): 45–60. https://doi.org/10.3208/sandf1972.20.2_45.
Kokusho, T. 1982. “Dynamic soil properties and nonlinear seismic response of ground.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Tokyo.
Kokusho, T., Y. Yoshida, and Y. Esashi. 1982. “Dynamic properties of soft clay for wide strain range.” Soils Found. 22 (4): 1–18. https://doi.org/10.3208/sandf1972.22.4_1.
Kramer, S. L. 1996. Geotechnical earthquake engineering. London: Pearson Education.
Kumar, S. S., A. M. Krishna, and A. Dey. 2017. “Evaluation of dynamic properties of sandy soil at high cyclic strains.” Soil Dyn. Earthquake Eng. 99 (Aug): 157–167. https://doi.org/10.1016/j.soildyn.2017.05.016.
Kuribayashi, E., T. Iwasaki, and F. Tatsuoka. 1975. “Effects of stress-strain conditions on dynamic properties of sands.” In Proc. the Japan Society of Civil Engineers. Tokyo: Japan Society of Civil Engineers.
Matasovic, N., and M. Vucetic. 1993. “Cyclic characterization of liquefiable sands.” J. Geotech. Eng. 119 (11): 180522. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:11(1805).
Parra Bastidas, A. M.R. W. Boulanger, T. J. Carey, and J. T. DeJong. 2017. “Ottawa F-65 sand data from Ana Maria Parra Bastidas.” Accessed June 15, 2017. https://datacenterhub.org/resources/ottawa_f_65.
Payan, M., K. Senetakis, A. Khoshghalb, and N. Khalili. 2017. “Characterization of the small-strain dynamic behavior of silty sands, contribution of silica non-plastic fines content.” Soil Dyn. Earthquake Eng. 102 (8): 232–240. https://doi.org/10.1016/j.soildyn.2017.08.008.
Polito, C. P. 1999. “The effects of non-plastic and plastic fines on the liquefaction of sandy soils.” Ph.D. dissertation, Dept. of Civil Engineering, Virginia Polytechnic Institute and State Univ.
Polito, C. P., and J. R. Martin. 2001. “Effects of nonplastic fines on the liquefaction resistance of sands.” J. Geotech. Geoenviron. Eng. 127 (5): 408–415. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:5(408).
Polito, C. P., and J. R. Martin. 2003. “A reconciliation of the effects of non-plastic fines on the liquefaction resistance of sands reported in the literature.” Earthquake Spectra 19 (3): 635–651. https://doi.org/10.1193/1.1597878.
Pyke, R. M. 1973. “Settlement and liquefaction of sands under multi-directional loading.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of California.
Radjai, F., and D. E. Wolf. 1998. “Features of static pressure in dense granular media.” Granular Matter 1 (1): 3–8. https://doi.org/10.1007/PL00010907.
Radjai, F., D. E. Wolf, M. Jean, and J. J. Moreau. 1998. “Bimodal character of stress transmission in granular packings.” Phys. Rev. Lett. 80 (1): 61–64. https://doi.org/10.1103/PhysRevLett.80.61.
Roy, T. T. 2010. “A study of the effects of gradation on the liquefaction of silica sand.” Master thesis, Dept. of Civil Engineering, Univ. of Hawaii at Manoa.
Seed, H. B., and I. M. Idriss. 1970. Soil moduli and damping factors for dynamic response analyses. Oakland, CA: Earthquake Engineering Research Center.
Senetakis, K., A. Anastasiadis, and K. Pitilakis. 2012. “The small-strain shear modulus and damping ratio of quartz and volcanic sands.” Geotech. Test. J. 35 (6): 964–980.
Silver, M. L., and H. B. Seed. 1969. The behavior of sands under seismic loading conditions. Berkeley, CA: Univ. of California.
Tatsuoka, F., and T. Iwasaki. 1978. “Hysteretic damping of sands under cyclic loading and its relation to shear modulus.” Soils Found. 18 (2): 25–40. https://doi.org/10.3208/sandf1972.18.2_25.
Towhata, I. 2008. Geotechnical earthquake engineering. Berlin: Springer.
Vucetic, M., and R. Dobry. 1991. “Effect of soil plasticity on cyclic response.” J. Geotech. Eng. 117 (1): 89–107. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:1(89).
Vucetic, M., G. Lanzo, and M. Doroudian. 1998. “Damping at small strains in cyclic simple shear test.” J. Geotech. Geoenviron. Eng. 124 (7):585. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:7(585).
Whitman, R. V., and R. Dobry. 1993. “Modulus and damping for large strains.” In Soil dynamics. Berlin: Springer.
Wichtmann, T., M. A. N. Hernandez, and T. Triantafyllidis. 2015. “On the influence of a non-cohesive fines content on small strain stiffness, modulus degradation and damping of quartz sand.” Soil Dyn. Earthquake Eng. 69 (10): 103–114. https://doi.org/10.1016/j.soildyn.2014.10.017.
Wichtmann, T., and T. Triantafyllidis. 2013. “Effect of uniformity coefficient on G/Gmax and damping ratio of uniform to well-graded quartz sands.” J. Geotech. Geoenviron. Eng. 139 (1). https://doi.org/10.1061/(ASCE)GT.1943-5606.0000735.
Wichtmann, T., and T. Triantafyllidis. 2016. “An experimental data base for the development, calibration and verification of constitutive models for sand with focus to cyclic loading.” Acta Geotech. 11 (4): 739–761. https://doi.org/10.1007/s11440-015-0402-z.
Xenaki, V. C., and G. A. Athanasopoulos. 2003. “Liquefaction resistance of sand–silt mixtures: An experimental investigation of the effect of fines.” Soil Dyn. Earthquake Eng. 2003 (23): 183–194.
Zen, K., Y. Umehara, and K. Hamada. 1978. “Laboratory tests and in-situ seismic survey on vibratory shear modulus of clayey soils with different plasticities.” In Proc., 5th Japan Earthquake Engineering Symp., 721–728. Tokyo: Seismological Society of Japan.
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Journal of Geotechnical and Geoenvironmental Engineering
Volume 147 • Issue 9 • September 2021
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© 2021 American Society of Civil Engineers.
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Received: Nov 11, 2020
Accepted: Apr 2, 2021
Published online: Jun 17, 2021
Published in print: Sep 1, 2021
Discussion open until: Nov 17, 2021
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