TECHNICAL PAPERS
Jul 29, 2010

Soil Uncertainty and Its Influence on Simulated G/Gmax and Damping Behavior

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 137, Issue 3

Abstract

In this paper, recently developed probabilistic elastoplasticity was applied in simulating cyclic behavior of clay. A simple von Mises elastic–perfectly plastic material model was used for simulation. Probabilistic soil parameters, elastic shear modulus (Gmax) and undrained shear strength (su), needed for the simulation were obtained from correlations with the standard penetration test (SPT) N-value. It has been shown that the probabilistic approach to geo-material modeling captures some of the important aspects—the modulus reduction, material damping ratio, and modulus degradation—of cyclic behavior of clay reasonably well, even with the simple elastic–perfectly plastic material model.

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Acknowledgments

The work presented in this paper was supported by Grant No. NSFNSF-CMMI-0600766 from the Civil, Mechanical and Manufacturing Innovation Program, Directorate of Engineering of the National Science Foundation—cognizant program director Dr. Richard Fragaszy.

References

Anders, M., and Hori, M. (1999). “Stochastic finite element method for elasto-plastic body.” Int. J. Numer. Methods Eng., 46(11), 1897–1916.
Anders, M., and Hori, M. (2001). “Three-dimensional stochastic finite element method for elasto-plastic bodies.” Int. J. Numer. Methods Eng., 51(4), 449–478.
Baecher, G. B., and Christian, J. T. (2003). Reliability and statistics in geotechnical engineering, 2nd Ed., Wiley, West Sussex, UK.
Ben-Haim, Y., and Elishakoff, I. (1990). Convex models of uncertainty in applied mechanics, Elsevier, Amsterdam, The Netherlands.
Borja, R. I. (2004). “Incorporating uncertainties in nonlinear soil properties into numerical models.” Proc., Int. Workshop on Uncertainties in Nonlinear Soil Properties and Their Impact on Modeling Dynamic Soil Response, Pacific Earthquake Engineering Research (PEER) Center, Univ. of California, Berkeley CA.
de Lima, B. S. L. P., Teixeira, E. C., and Ebecken, N. F. F. (2001). “Probabilistic and possibilistic methods for the elastoplastic analysis of soils.” Adv. Eng. Software, 32(7), 569–585.
DeGroot, D. J., and Baecher, G. B. (1993). “Estimating autocovariance of in-situ soil properties.” J. Geotech. Eng., 119(1), 147–166.
Duncan, J. M. (2000). “Factors of safety and reliability in geotechnical engineering.” J. Geotech. Geoenviron. Eng., 126(4), 307–316.
Einav, I., and Collins, I. F. (2008). “A thermomechanical framework of plasticity based on probabilistic micromechanics.” J. Mech. Mater. Struct., 3(5), 867–892.
Federal Highway Administration (FHWA). (2002). “Geotechnical engineering circular no. 5: Evaluation of soil and rock properties.” No. FHWA-IF-02-034, United States Dept. of Transportation, Washington, DC.
Fenton, G. A. (1999a). “Estimation of stochastic soil models.” J. Geotech. Geoenviron. Eng., 125(6), 470–485.
Fenton, G. A. (1999b). “Random field modeling of CPT data.” J. Geotech. Geoenviron. Eng., 125(6), 486–498.
Fenton, G. A., and Griffiths, D. V. (2002). “Probabilistic foundation settlement on spatially random soil.” J. Geotech. Geoenviron. Eng., 128(5), 381–390.
Fenton, G. A., and Griffiths, D. V. (2003). “Bearing capacity prediction of spatially random c-ϕ soil.” Can. Geotech. J., 40(1), 54–65.
Fenton, G. A., and Griffiths, D. V. (2005). “Three-dimensional probabilistic foundation settlement.” J. Geotech. Geoenviron. Eng., 131(2), 232–239.
Gardiner, C. W. (2004). Handbook of stochastic methods for physics, chemistry and the natural sciences, 3rd Ed., Springer Complexity, Heidelberg, Germany.
Ghanem, R. G., and Spanos, P. D. (1991). Stochastic finite elements: A spectral approach, Springer-Verlag, Berlin (Reissued by Dover, 2003).
Griffiths, D. V., Fenton, G. A., and Manoharan, N. (2002). “Bearing capacity of rough rigid strip footing on cohesive soil: Probabilistic study.” J. Geotech. Geoenviron. Eng., 128(9), 743–755.
Hammitt, G. M. (1966). Statistical analysis of data from a comparative laboratory test program sponsored by ACIL, U.S. Army Waterways Experiment Station, Vicksburg, MS.
Hara, A., Ohta, T., Niwa, M., Tanaka, S., and Banno, T. (1974). “Shear modulus and shear strength of cohesive soils.” Soils Found., 14(3), 1–12.
Harr, M. E. (1987). Reliability-based design in civil engineering, McGraw-Hill, New York.
Hasancebi, N., and Ulusay, R. (2007). “Empirical correlations between shear wave velocity and penetration resistance for ground shaking assessments.” Bull. Eng. Geol. Environ., 66(2), 203–213.
Hashin, Z. (1983). “Analysis of composite materials—A survey.” J. Appl. Mech., 50(3), 481–505.
Idriss, I. M. (1990). “Response of soft soil sites during earthquakes.” Proc., Symp. to Honor Professor H. B. Seed, BiTech Publishers, Vancouver, BC, Canada, 273–289.
Imai, T. (1977). “P- and S-wave velocities of the ground in Japan.” Proc., IX Int. Conf. on Soil Mechanics and Foundation Engineering, Tokyo, 127–132.
Jafari, M. K., Shafiee, A., and Ramzkhah, A. (2002). “Dynamic properties of fine grained soils in south of Tehran.” Iranian J. Seismolog. Earthquake Eng., 4(1), 25–35.
Jeremić, B., and Sett, K. (2009). “On probabilistic yielding of materials.” Commun. Numer. Methods Eng., 25(3), 291–300.
Jeremić, B., Sett, K., and Kavvas, M. L. (2007). “Probabilistic elasto-plasticity: Formulation in 1-D.” Acta Geotech., 2(3), 197–210.
Karhunen, K. (1947). “Über lineare methoden in der wahrscheinlichkeitsrechnung.” Ann. Acad. Sci., Fennicae. Ser. A 1. Math.-Phys., 37, 1–79.
Kavvas, M. L. (2003). “Nonlinear hydrologic processes: Conservation equations for determining their means and probability distributions.” J. Hydrol. Eng., 8(2), 44–53.
Kleiber, M., and Hien, T. D. (1992). “The stochastic finite element method: Basic perturbation technique and computer implementation, Wiley, Chichester, UK.
Kulhawy, F. H., and Phoon, K. K. (2002). “Observations on geotechnical reliability-based design development in North America.” Foundation design codes and soil investigation in view of international harmonization and performance based design, Y. Honjo, O. Kusakabe, M. Kenji, M. Kouda, and G. Pokharel, eds., Swets and Zeitlinger, Lisse, The Netherlands, 31–48.
Lacasse, S., and Nadim, F. (1996). “Uncertainties in characterizing soil properties.” Uncertainty in geologic environment: from theory to practice, Proc., Uncertainty ’96, Geotechnical Special Publication No. 58, C. D. Shackelford and P. P. Nelson, eds., Vol. 1, ASCE, New York, 49–75.
Ladd, C. C. (1991). “Stability evaluation during staged construction.” J. Geotech. Eng., 117(4), 540–615.
Loève, M. (1948). “Fonctions aleatories du second ordre: Supplement to P. Levy.” Processus stochastic et mouvement brownien, Gauthier-Villars, Paris.
Lumb, P. (1966). “The variability of natural soils.” Can. Geotech. J., 3(2), 74–97.
Manolis, G. D. (2002). “Stochastic soil dynamics.” Soil Dyn. Earthquake Eng., 22(1), 3–15 .
Marosi, K. T., and Hiltunen, D. R. (2004). “Characterization of spectral analysis of surface waves shear wave velocity measurement uncertainty.” J. Geotech. Geoenviron. Eng., 130(10), 1034–1041.
Matthies, H. G., Brenner, C. E., Bucher, C. G., and Guedes Soares, C. G. (1997). “Uncertainties in probabilistic numerical analysis of structures and solids—stochastic finite elements.” Struct. Saf., 19(3), 283–336.
Mayne, P. W. (2007). “Cone penetration testing state-of-practice.” Final Rep. NCHRP Project 20-05; Task 37-14, Georgia Institute of Technology, Atlanta Transportation Research Board Synthesis Study.
Metropolis, N., and Ulam, S. (1949). “The Monte Carlo method.” J. Am. Stat. Assoc., 44(247), 335–341.
Moore, R. (1979). Methods and applications of interval analysis, SIAM, Philadelphia.
Ohya, S., Imai, T., and Matsubara, M. (1982). “Relationship between N-value by SPT and LLT pressuremeter results.” Proc., 2nd European Symp. on Penetration Testing, Amsterdam, The Netherlands, 1, 125–130.
Paice, G. M., Griffiths, D. V., and Fenton, G. A. (1996). “Finite element modeling of settlement on spatially random soil.” J. Geotech. Eng., 122(9), 777–779.
Phoon, K.-K., and Kulhawy, F. H. (1999a). “Characterization of geotechnical variability.” Can. Geotech. J., 36(4), 612–624.
Phoon, K.-K., and Kulhawy, F. H. (1999b). “Evaluation of geotechnical property variability.” Can. Geotech. J., 36(4), 625–639.
Pitilakis, K., Raptakis, D., Lontzetidis, K., Tika-Vasilikou, T., and Jongmans, D. (1999). “Geotechnical and geophysical description of Euro-seistests, using field and laboratory tests, and moderate strong ground motions.” J. Earthquake Eng., 3(3), 381–409.
Popescu, R., Deodatis, G., and Nobahar, A. (2005). “Effects of random heterogeneity of soil properties on bearing capacity.” Probab. Eng. Mech., 20(4), 324–341.
Rackwitz, R. (2000). “Reviewing probabilistic soil modelling.” Comput. Geotech., 26(3–4), 199–223.
Sett, K., and Jeremić, B. (2009). “Forward and backward probabilistic simulations in geotechnical engineering.” Contemporary topics in in situ testing, analysis, and reliability of foundations (Selected papers from the 2009 Int. Found. Congress and Equipment Expo 2009), M. Iskander, D. F. Laefer, and M. H. Hussein, eds., Geotechnical Special Publications No. 186, ASCE, New York, 1–11.
Sett, K., and Jeremić, B. (2010). “Probabilistic yielding and cyclic behavior of geomaterials.” Int. J. Numer. Anal. Meth. Geomech., 34(15), 1541-1559.
Sett, K., Jeremić, B., and Kavvas, M. L. (2007a). “Probabilistic elasto-plasticity: Solution and verification in 1-D.” Acta Geotech., 2(3), 211–220.
Sett, K., Jeremić, B., and Kavvas, M. L. (2007b). “The role of nonlinear hardening/softening in probabilistic elasto-plasticity.” Int. J. Numer. Anal. Meth. Geomech., 31(7), 953–975.
Sett, K., Jeremić, B., and Kavvas, M. L. (2011). “Stochastic elastic-plastic finite elements.” Comput. Methods Appl. Mech. Eng., 200(9–12), 997–1007.
Stokoe, K. H., II, Darendeli, R. B., Gilbert, R. B., Menq, F.-Y., and Choi, W. K. (2004). “Development of a new family of normalized modulus reduction and material damping curves.” Proc., Int. Workshop on Uncertainties in Nonlinear Soil Properties and Their Impact on Modeling Dynamic Soil Response, Pacific Earthquake Engineering Research (PEER) Center, Univ. of California, Berkeley, CA.
Sudret, B., and Der Kiureghian, A. (2000). “Stochastic finite element methods and reliability: A state of the art report.” Technical Rep. UCB/SEMM-2000/08, Univ. of California, Berkeley, CA.
Vucetic, M., and Dobry, R. (1991). “Effect of soil plasticity on cyclic response.” J. Geotech. Eng., 117(1), 89–107.
Wiener, N. (1938). “The homogeneous chaos.” Am. J. Math., 60(4), 897–936.
Zadeh, J. (1983). “The role of fuzzy logic in the management of uncertainty in expert systems.” Fuzzy Sets Syst., 11(1–3), 199–227.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 137Issue 3March 2011
Pages: 218 - 226

History

Received: Nov 20, 2009
Accepted: Jul 24, 2010
Published online: Jul 29, 2010
Published in print: Mar 1, 2011

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Authors

Affiliations

Kallol Sett, A.M.ASCE
Dept. of Civil Engineering, Univ. of Akron, Akron, OH.
Berna Unutmaz
Dept. of Civil Engineering, Kocaeli Univ., Kocaeli, Turkey.
Kemal Önder Çetin, M.ASCE
Dept. of Civil Engineering, Middle East Technical Univ., Ankara, Turkey.
Suzana Koprivica
Dept. of Civil Construction Management, Union Univ., Belgrade, Serbia.
Boris Jeremić, M.ASCE
Dept. of Civil and Environmental Engineering, Univ. of California, Davis, CA (corresponding author).

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