Probabilistic Models for Cyclic Straining of Saturated Clean Sands
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VIEW THE REPLYPublication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 135, Issue 3
Abstract
A maximum likelihood framework for the probabilistic assessment of postcyclic straining of saturated clean sands is described. Databases consisting of cyclic laboratory test results including maximum shear and postcyclic volumetric strains in conjunction with relative density, number of stress (strain) cycles, and “index” test results were used for the development of probabilistically based postcyclic strain correlations. For this purpose, in addition to the compilation of existing data from literature, a series of stress-controlled cyclic triaxial and simple shear tests were performed on laboratory-constituted saturated clean sand specimens. The variabilities in testing conditions (i.e., type of test, consolidation procedure, confining pressure, rate of loading, etc.) were corrected through a series of correction schemes, the effectiveness of which were later confirmed by the discriminant analyses results. Volumetric and shear strain boundary curves were developed in the cyclic stress ratio versus or domain. In addition to being based on significantly extended and higher quality databases, contrary to the existing judgmentally derived deterministic ones, proposed correlations have formal probabilistic bases, and so provide insight regarding uncertainty of strain predictions or probability of exceeding a target strain value. Probabilistic uses of the proposed correlations were illustrated by three sets of examples. A companion paper applied and calibrated the proposed volumetric strain correlation to semiempirically evaluate postearthquake settlement of level, free-field sites. For the calibration, case history soil profiles, composed of a broad range of sand types and depositional characteristics, shaken by a number of earthquakes, were used. Superior predictions of field settlements by this laboratory data-based cyclic strain assessment approach were concluded to be strongly mutually supportive.
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References
Arulmoli, K., Muraleetharan, K. K., Hosain, M. M., and Fruth, L. S. (1992) “VELACS laboratory testing program, soil data.” Rep., The Earth Technology Corporation, Irvine, Calif., to the National Science Foundation, Washington, D.C.
Bilge, H. T. (2005). “Volumetric and deviatoric strain behavior of cohesionless soils under cyclic loading.” MSc thesis, Middle East Technical Univ, Ankara, Turkey.
Bilge, H. T., and Cetin, K. O. (2006). “Probabilistic models for the assessment of cyclic soil deformations.” 100th Anniversary Earthquake Conf. Commemorating the 1906 San Francisco Earthquake, Mira Digital Publishing, San Francisco, Calif.
Boulanger, R. W., and Idriss, I. M. (2004). “State normalization of penetration resistance and the effect of overburden stress on liquefaction.” Proc., 11th Int. Conf. on Soil Dyn. and Earthquake Eng. and 3rd Int. Conf. on Earthquake Geotechnical Eng., Stallion Press, Univ. of California, Berkeley, Calif.
Castro, G., and Poulos, J. (1976). “Factors affecting liquefaction and cyclic mobility.” Liquefaction problems in geotechnical engineering, ASCE National Convention, Reston, Va., 105–138.
Chang, N. Y. (1990). “Influence of fines content and plasticity on earthquake-induced soil liquefaction.” Contract Rep., US Army Engineer Waterways Experiment Station, Vicksburg, Miss., Contract No. DACW3988-C-0078.
Cho, Y., Rizzo, P. C., and Humphries, W. K. (1976). “Saturated sand and cyclic dynamic tests.” Liquefaction problems in geotechnical engineering, ASCE National Convention, Reston, Va., 285–312.
Cubrinovski, M., and Ishihara, K. (1999). “Empirical correlation between SPT N-value and relative density of sandy soils.” Soils Found., 39(5), 61–71.
Dobry, R. (1985). “Liquefaction of soils during earthquakes.” Committee on Earthquake Engineering Commission on Engineering and Technical Systems, National Research Council, National Academy Press, Washington, D.C.
Donovan, N. C., and Singh, S. (1976). “Liquefaction criteria for the Trans-Alaska pipeline.” Liquefaction problems in geotechnical engineering, ASCE National Convention, Reston, Va., 139–167.
Evans, M. D., and Zhou, S. (1994). “Cyclic behavior of gravelly soil.” Geotechnical Special Publication No. 44, ASCE National Convention, Reston, Va., 158–176.
Finn, W. D. L., Martin, G. R., and Byrne, P. M. (1976). “Seismic response and liquefaction of sands.” J. Geotech. Engrg. Div., 102(GT8), 841–856.
Hatanaka, M., Suzuki, K., Kawasaki, T., and Endo, M. (1988). “Cyclic undrained shear properties of high quality undisturbed Tokyo gravel.” Soils Found., 28(4), 57–68.
Hazirbaba, K. (2005). “Pore pressure generation characteristics of sands and silty sands: A strain approach.” Ph.D. dissertation, Univ. of Texas, Austin, Tex.
Holtz, W. G., and Gibbs, H. J. (1979). “Discussion of ‘SPT and relative density in coarse sand.’” J. Geotech. Engrg. Div., 105(GT5), 439–441.
Huberty, C. J. (1994). Applied discriminant analysis, Wiley-Interscience, New York.
Ishihara, K. (1996). Soil behavior in earthquake engineering, Clarendon, Oxford, U.K.
Ishihara, K., and Koseki, J. (1989). “Cyclic strength of fines-containing sands.” Earthquake and geotechnical engineering, Japanese Society of Soil Mechanics and Foundation Engineering, Tokyo, 101–106.
Ishihara, K., and Yoshimine, M. (1992). “Evaluation of settlements in sand deposits following liquefaction during earthquakes.” Soils Found., 32(1), 861–878.
Kammerer, A. M. (2002). “Undrained response of Monterey sand under multi-directional cyclic shear loading conditions.” Ph.D. dissertation, Univ. of California, Berkeley, Calif.
Konno, T., Hatanaka, M., Ishihara, K., Ibe, Y., and Iizuka, S. (1994). “Gravelly soil properties evaluation by large scale in-situ cyclic shear tests.” Proc., Session on Ground Failures under Seismic Conditions, ASCE Convention, Reston, Va., 177–200.
Ladd, R. S. (1976). “Specimen preparation and cyclic stability of sands.” Liquefaction problems in geotechnical engineering, ASCE National Convention, Reston, Va., 199–226.
Liu, A. H., Stewart, J. P., Abrahamson, N. A., and Moriwaki, Y. (2001). “Equivalent number of uniform stress cycles for soil liquefaction analysis.” J. Geotech. Geoenviron. Eng., 127(12), 1017–1026.
Mulilis, J. P., Chan, C. K., and Seed, H. B. (1975). “The effects of method of sample preparation on the cyclic stress strain behavior of sands.” Rep. No. UCB/EERC/75/18, Earthquake Engineering Research Center, Univ. of California at Berkeley, Berkeley, Calif.
Riemer, M. F., Gookin, W. B., Bray, J. D., and Arango, I. (1994). “Effects of loading frequency and control on the liquefaction behavior of clean sands.” Rep. No. UCB/GT/94–07, Geotechnical Engineering, Univ. of California, Berkeley, Calif.
Seed, H. B. (1976). “Evaluation of soil liquefaction effects on level ground earthquakes.” Liquefaction problems in geotechnical engineering, ASCE National Convention, Reston, Va., 1–105.
Seed, H. B., and Idriss, I. M. (1971). “Simplified procedure for evaluating soil liquefaction potential.” Artif. Intell. Rev., 97(9), 1249–1273.
Seed, H. B., Idriss, I. M., Makdisi, F., and Banerjee, N. (1975). “Representation of irregular stress time histories by equivalent uniform stress series in liquefaction analyses.” Rep. No. EERC 75-29, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Seed, H. B., and Lee, K. L. (1966). “Liquefaction of saturated sands during cyclic loading.” J. Soil Mech. and Found. Div., 92(6), 105–134.
Seed, H. B., Wong, R. T., Idriss, I. M., and Tokimatsu, K. (1984). “Moduli and damping factors for dynamic analyses of cohesionless soils.” Rep. No. EERC 84-14, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Shamoto, Y., Zhang, J., and Tokimatsu, K. (1998). “New charts for predicting large residual post-liquefaction ground deformation.” Soil Dyn. Earthquake Eng., 17(7–8), 427–438.
Silver, M. L., Chan, C. K., Ladd, R. S., Lee, K. L., Tiedemann, D. A., Townsend, F. C., Valera, J. E., and Wilson, J. H. (1976). “Cyclic triaxial strength of standard test sand.” J. Geotech. Engrg. Div., 102(GT5), 511–523.
Skempton, A. W. (1986). “Standard penetration test procedures and the effects in sands of overburden pressure, relative density, particle size, aging, and overconsolidation.” Geotechnique, 36(4), 425–447.
Talaganov, K. V. (1996). “Stress-strain transformations and liquefaction of sands.” Soil Dyn. Earthquake Eng., 15(7), 411–418.
Tanaka, Y., Kokusho, K., Kudo, K., and Yoshida, Y. (1991). “Dynamic strength of gravelly soils and its relation to the penetration resistance.” Proc., 2nd Int. Conf. on Recent Advances in Geotechnical Engineering and Soil Dynamics, Vol. 1, St. Louis, Mo., 399–406.
Tatsuoka, F., Ochi, K., Fuji, S., and Okamoto, M. (1986). “Cyclic undrained triaxial and torsional shear strength of sands for different preparation methods.” Soils Found., 26(3), 23–41.
Toki, S., Tatsuoka, F., Miura, S., Yoshimi, Y., Yasuda, S., and Makihara, Y. (1986). “Cyclic undrained triaxial strength of sand by a cooperative test program.” Soils Found., 26(3), 117–128.
Tokimatsu, K., and Seed, H. B. (1984). “Simplified procedures for the evaluation of settlements in clean sands.” Rep. No. UCB/EERC-84/16, Earthquake Engineering Research Center, College of Engineering, Univ. of California, Berkeley, Calif.
Vaid, Y. P., and Chern, J. C. (1982). “Mechanism of deformation during cyclic undrained loading of saturated sands.” Proc., Conf. on Soil Dynamics and Earthquake Engineering, Southampton, A. S. Cakmak, A. M. Abdel-Ghaffar, and C. A. Brebbia, eds., Balkema, 101–115.
Vucetic, M., and Dobry, R. (1988). “Degradation of marine clays under cyclic loading.” J. Geotech. Engrg., 114(GT2), 133–149.
Wu, J., and Seed, R. B. (2004). “Estimating of liquefaction-induced ground settlement (case studies).” Proc., 5th Int. Conf. on Case Histories in Geotechnical Engineering, New York, Paper No. 3.09.
Wu, J., Seed, R. B., and Pestana, J. M. (2003). “Liquefaction triggering and post liquefaction deformations of Monterey sand under uni-directional cyclic simple shear loading.” Geotechnical Engineering Research Rep. No. UCB/GE-2003/01, Univ. of California, Berkeley, Calif.
Yoshimi, Y., Tokimatsu, K., and Hosaka, Y. (1989). “Evaluation of liquefaction resistance of clean sands based on high-quality undisturbed samples.” Soils Found., 29(1), 93–104.
Youd, T. L., et al. (2001). “Liquefaction resistance of soils: Summary report from the 1996 NCEER and 1998 NCEER/NSF workshops on evaluation of liquefaction resistance of soils.” J. Geotech. Geoenviron. Eng., 127(10), 817–833.
Youd, T. L., and Noble, S. K. (1997). “Magnitude scaling factors.” Proc., NCEER Workshop on Evaluation of Liquefaction Resistance of Soils, T. L. Youd and I. M. Idriss, eds., National Center for Earthquake Engineering Research, Buffalo, 175–194.
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Received: Jan 23, 2007
Accepted: May 2, 2008
Published online: Mar 1, 2009
Published in print: Mar 2009
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