Technical Papers
Jul 16, 2019

Total Stress Analysis of Soft Clay Ground Response in Centrifuge Models

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 145, Issue 10

Abstract

This paper presents one-dimensional ground response simulations of centrifuge models involving soft clay deposits subjected to ground motions of varying intensity. Total stress ground response simulations were performed using equivalent-linear (EL) and nonlinear (NL) methods. Shear strains higher than 10% were mobilized during large ground motions; therefore, undrained shear strength of the clay is an important parameter for the simulations. Testing shows that the San Francisco Bay Mud materials used in centrifuge modeling have monotonic shear strengths that increase by 13% per log cycle of shear strain rate. A comparison of simulation results to observations reveals the importance of incorporating shear strength into the development of stress-strain backbone curves, with appropriate consideration of rate adjustments to shear strength and stiffness. NL ground response simulations provide a good match to observed pseudospectral accelerations only when rate-adjusted shear strengths are properly accounted for; otherwise, the NL simulations have significant underprediction bias at oscillator periods less than the soil column period. EL modeling, even with the incorporation of shear strength, leads to unrealistic spectral shapes and overprediction at short spectral periods for tests involving large-strain site response.

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Acknowledgments

We would like to thank former UCLA graduate student Alek Harouonian and the NEES@UCDavis personnel, including Dan Wilson, Ross Boulanger, Bruce Kutter, Chad Justice, Ray Gerhard, Peter Rojas, Lars Pederson, Anatoliy Ganchenko, and Jenny Chen, for their assistance during the centrifuge modeling. We would like to thank Youssef Hashash for his input related to DEEPSOIL modeling. Funding for this work was provided by the United States Geological Survey under Contract Nos. 08HQGR0037 and G12AP20098. The contents of this paper reflect the views of the authors, who are responsible for the facts and accuracy of the data presented herein. The contents do not necessarily reflect the official views or policies of the United States federal government. This paper does not constitute a standard, specification, or regulation. This material is based on research performed in a renovated collaboratory by the National Science Foundation under Grant No. 0963183, which is an award funded under the American Recovery and Reinvestment Act of 2009 (ARRA).

References

Afacan, K. B. 2014. “Evaluation of nonlinear site response of soft clay using centrifuge models.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California.
Afacan, K. B., S. J. Brandenberg, and J. P. Stewart. 2014. “Centrifuge modeling studies of site response in soft clay over wide strain range.” J. Geotech. Geoenviron. Eng. 140 (2): 04013003. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001014.
Blake, T. F., R. A. Hollingsworth, and J. P. Stewart, eds. 2002. Recommended procedures for implementation of DMG Special Publication 117 guidelines for analyzing and mitigating landslide hazards in California, 130. Los Angeles: Southern California Earthquake Center, Univ. of Southern California.
Bolton, M. D. 1986. “The strength and dilatancy of sands.” Geotechnique 36 (1): 65–78. https://doi.org/10.1680/geot.1986.36.1.65.
Borcherdt, R. D. 1994. “Estimates of site-dependent response spectra for design (methodology and justification).” Earthquake Spectra 10 (4): 617–653. https://doi.org/10.1193/1.1585791.
Boulanger, R. W., and I. M. Idriss. 2007. “Evaluation of cyclic softening in silts and clays.” J. Geotech. Geoenviron. Eng. 133 (6): 641–652. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:6(641).
Brennan, A. J., N. I. Thusyanthan, and S. P. J. Madabhushi. 2005. “Evaluation of shear modulus and damping in dynamic centrifuge tests.” J. Geotech. Geoenviron. Eng. 131 (12): 1488–1497. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:12(1488).
Darendeli, M. B. 2001. “Development of a new family of normalized modulus reduction and material damping curves.” Ph.D. thesis, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas.
Dobry, R., R. D. Borcherdt, C. B. Crouse, I. M. Idriss, W. B. Joyner, G. R. Martin, M. S. Power, E. E. Rinne, and R. B. Seed. 2000. “New site coefficients and site classification system used in recent building seismic code provisions (1994/1997 NEHRP and 1997 UBC).” Earthquake Spectra 16 (1): 41–67. https://doi.org/10.1193/1.1586082.
Duku, P. M., J. P. Stewart, D. H. Whang, and R. Venugopal. 2007. “Digitally controlled simple shear apparatus for dynamic soil testing.” Geotech. Test. J. 30 (5): 368–377. https://doi.org/10.1520/GTJ100518.
Elgamal, A., Z. Yang, E. Parra, and A. Ragheb. 2003. “A modeling of cyclic mobility in saturated cohesionless soils.” Int. J. Plast. 19 (6): 883–905. https://doi.org/10.1016/S0749-6419(02)00010-4.
Garnier, J., C. Gaudin, S. M. Springman, P. J. Culligan, D. Goodings, D. Konig, B. Kutter, R. Phillips, M. F. Randolph, and L. Thorel. 2007. “Catalogue of scaling laws and similitude questions in geotechnical centrifuge modeling.” Int. J. Phys. Model. Geotech. 7 (3): 1–23. https://doi.org/10.1680/ijpmg.2007.070301.
Groholski, D. R., Y. M. Hashash, B. Kim, M. Musgrove, J. Harmon, and J. P. Stewart. 2016. “Simplified model for small-strain nonlinearity and strength in 1D seismic site response analysis.” J. Geotech. Geoenviron. Eng. 142 (9): 04016042. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001496.
Hashash, Y. M. A., M. I. Musgrove, J. A. Harmon, D. R. Groholski, C. A. Phillips, and D. Park. 2016. DEEPSOIL 6.1, user manual. Urbana–Champaign, IL: Univ. of Illinois at Urbana–Champaign.
Isenhower, W. M., and K. H. Stokoe. 1981. “Strain-rate dependent shear modulus of San Francisco Bay mud.” In Vol. II of Proc., Int. Conf. on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics, 597–602. St. Louis: Missouri Univ. of Science and Technology.
Kaklamanos, J., L. G. Baise, E. M. Thompson, and L. Dorfmann. 2015. “Comparison of 1D linear, equivalent-linear, and nonlinear site response models at six KiK-net validation sites.” Soil Dyn. Earthquake Eng. 69 (Feb): 207–219. https://doi.org/10.1016/j.soildyn.2014.10.016.
Kaklamanos, J., B. A. Bradley, E. M. Thompson, and L. G. Baise. 2013. “Critical parameters affecting bias and variability in site response analyses using KiK-net downhole array data.” Bull. Seismol. Soc. Am. 103 (3): 1733–1749. https://doi.org/10.1785/0120120166.
Khosravi, M., C. L. Meehan, D. V. Cacciola, and A. Khosravi. 2013. “Effect of fast shearing on the residual shear strengths measured along pre-existing shear surfaces in Kaolinite.” In Proc., Geo-Congress 2013, 245–254. Reston, VA: ASCE.
Kim, B., and Y. M. A. Hashash. 2013. “Site response analysis using downhole array recordings during the March 2011 Tohoku-Oki earthquake and the effect of long-duration ground motions.” Supplement, Earthquake Spectra 29 (S1): S37–S54. https://doi.org/10.1193/1.4000114.
Kim, B., Y. M. A. Hashash, J. P. Stewart, E. M. Rathje, J. A. Harmon, M. I. Musgrove, K. W. Campbell, and W. J. Silva. 2016. “Relative differences between nonlinear and equivalent-linear 1D site response analyses.” Earthquake Spectra 32 (3): 1845–1865. https://doi.org/10.1193/051215EQS068M.
Kwok, A. O., J. P. Stewart, Y. M. A. Hashash, N. Matasovic, R. Pyke, Z. Wang, and Z. Yang. 2007. “Use of exact solutions of wave propagation problems to guide implementation of nonlinear seismic ground response analysis procedures.” J. Geotech. Geoenviron. Eng. 133 (11): 1385–1398. https://doi.org/10.1061/(ASCE)1090-0241(2007)133:11(1385).
Ladd, C. C. 1991. “Stability evaluation during staged construction.” J. Geotech. Eng. 117 (4): 540–615. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:4(540).
Lefebvre, G., and D. LeBoeuf. 1987. “Rate effects and cyclic loading of sensitive clays.” J. Geotech. Eng. 113 (5): 476–489. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:5(476).
Matasovic, N., and Y. Hashash. 2012. Practices and procedures for site-specific evaluations of earthquake ground motions, synthesis 428. Washington, DC: National Cooperative Highway Research Program, Transportation Research Board.
Matesic, L., and M. Vucetic. 2003. “Strain-rate effect on soil secant shear modulus at small cyclic strains.” J. Geotech. Geoenviron. Eng. 126 (6): 536–549. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:6(536).
Mayne, P. W., and F. H. Kulhawy. 1982. “Ko -OCR relationships in soil.” J. Geotech. Eng. Div. 108 (6): 851–872.
Mazzoni, S., F. McKenna, M. H. Scott, and G. L. Fenves. 2009. OpenSees, command language manual. Berkeley, CA: Univ. of California, Berkeley.
Meehan, C. L., R. W. Boulanger, and J. M. Duncan. 2008. “Dynamic centrifuge testing of slickensided shear surfaces.” J. Geotech. Geoenviron. Eng. 134 (8): 1086–1096. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:8(1086).
Phillips, C., and Y. M. A. Hashash. 2009. “Damping formulation for nonlinear 1D site response analyses.” Soil Dyn. Earthquake Eng. 29 (7): 1143–1158. https://doi.org/10.1016/j.soildyn.2009.01.004.
Phillips, C., A. R. Kottke, Y. M. A. Hashash, and E. M. Rathje. 2012. “Significance of ground motion time step in one dimensional site response analysis.” Soil Dyn. Earthquake Eng. 43 (Dec): 202–217. https://doi.org/10.1016/j.soildyn.2012.07.005.
Qiu, T. 2010. “Analytical solution for Biot flow-induced damping in saturated soil during shear wave excitations.” J. Geotech. Geoenviron. Eng. 136 (11): 1501–1508. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000360.
Shafiee, A., J. P. Stewart, R. Venugopal, and S. J. Brandenberg. 2017. “Adaptation of bi-directional broadband simple shear device for constant volume and stress-controlled testing.” Geotech. Test. J. 42 (1): 15–28.
Sheahan, T. C., C. C. Ladd, and J. T. Germaine. 1996. “Rate-dependent undrained shear behavior of saturated clay.” J. Geotech. Geoenviron. Eng. 122 (2): 99–108. https://doi.org/10.1061/(ASCE)0733-9410(1996)122:2(99).
Stewart, J. P., K. Afshari, and C. A. Goulet. 2017. “Non-ergodic site response in seismic hazard analysis.” Earthquake Spectra 33 (4): 1385–1414. https://doi.org/10.1193/081716EQS135M.
Stewart, J. P., K. Afshari, and Y. M. A. Hashash. 2014. Guidelines for performing hazard-consistent one-dimensional ground response analysis for ground motion prediction. Berkeley, CA: Pacific Earthquake Engineering Research Center.
Yee, E., J. P. Stewart, and K. Tokimatsu. 2013. “Elastic and large-strain nonlinear seismic site response from analysis of vertical array recordings.” J. Geotech. Geoenviron. Eng. 139 (10): 1789–1801. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000900.
Yniesta, S., and S. J. Brandenberg. 2017. “Stress-ratio-based interpretation of modulus reduction and damping curves.” J. Geotech. Geoenvir. Eng. 143 (1): 06016021. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001585.
Yniesta, S., S. J. Brandenberg, and A. Shafiee. 2017. “ARCS: A one dimensional nonlinear soil model for ground response analysis.” Soil Dyn. Earthquake Eng. 102 (Nov): 75–85. https://doi.org/10.1016/j.soildyn.2017.08.015.
Yong, R. N., and R. D. Japp. 1969. “Stress-strain behavior of clays in dynamic compression.” In Vibration effects of earthquakes on soils and foundations, 233–262. West Conshohocken, PA: ASTM.
Zalachoris, G., and E. M. Rathje. 2015. “Evaluation of one-dimensional site response techniques using borehole arrays.” J. Geotech. Geoenviron. Eng. 141 (12): 04015053. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001366.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 145Issue 10October 2019

History

Received: May 16, 2018
Accepted: Mar 27, 2019
Published online: Jul 16, 2019
Published in print: Oct 1, 2019
Discussion open until: Dec 16, 2019

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Authors

Affiliations

Kamil B. Afacan, A.M.ASCE
Assistant Professor and Vice Chair, Dept. of Civil Engineering, Eskisehir Osmangazi Univ., Eskisehir 26040, Turkey.
Samuel Yniesta, A.M.ASCE
Assistant Professor, Dept. of Civil, Geological, and Mining Engineering, Polytechnique Montréal, Montréal, QC, Canada H3T 1J4.
Ali Shafiee, M.ASCE
Assistant Professor, Dept. of Civil Engineering, California State Polytechnic Univ., Pomona, CA 91768.
Jonathan P. Stewart, F.ASCE
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Los Angeles, CA 90095.
Professor, Dept. of Civil and Environmental Engineering, Univ. of California, Los Angeles, CA 90095 (corresponding author). ORCID: https://orcid.org/0000-0003-2493-592X. Email: [email protected]

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