Technical Papers
Feb 15, 2013

Model Prediction of Static Liquefaction: Influence of the Initial State on Potential Instabilities

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 139, Issue 3

Abstract

This paper examines the influence of the initial state of sands on the potential for undrained instability. The main goal is to illustrate how advanced constitutive modeling of sand behavior can be used to evaluate the susceptibility for static liquefaction. The methodology is based on the concept of latent instability, in which the potential for collapse is contingent on particular boundary conditions. A generalized effective stress soil model, MIT-S1, is used to support the analysis and is combined with a theoretical approach for identifying loss of control owing to undrained shear perturbations. The theory is evaluated using experimental evidence available for Toyoura sand to point out the key role of void ratio and consolidation history and to provide experimental validation for the theory. Model predictions are then used to disclose the subtle role of drained preloading paths in promoting liquefaction instabilities. The ability of the constitutive model to reproduce the interplay between undrained kinematic constraints and material failure is fundamental in predicting potential instabilities arising from changes in drainage conditions. The examples shed light on the mechanics of static liquefaction and set a framework for applying the principles of material stability to the triggering analysis of flow slides induced by undrained shear perturbations.

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Acknowledgments

The first author gratefully acknowledges the Rocca Fellowship program, which provided support for his research studies at MIT. The authors are also grateful to Professor Roberto Nova for useful suggestions during the editing of the paper and to anonymous reviewers for their thoughtful comments.

References

Anderson, S. A., and Sitar, N. (1995). “Analysis of rainfall induced debris-flow.” J. Geotech. Eng., 121(7), 544–552.
Andrade, J. E. (2009). “A predictive framework for static liquefaction.” Geotechnique, 59(8), 673–682.
Been, K., and Jefferies, M. G. (1985). “A state parameter for sands.” Geotechnique, 35(2), 99–112.
Been, K., Jefferies, M. G., and Hachey, J. (1991). “The critical state of sand.” Geotechnique, 41(3), 365–381.
Borja, R. I. (2006). “Condition for liquefaction instability in fluid-saturated granular soils.” Acta Geotech., 1(4), 211–224.
Buscarnera, G., Dattola, G., and di Prisco, C. (2011). “Controllability, uniqueness and existence of the incremental response: A mathematical criterion for elastoplastic constitutive laws.” Int. J. Solids Struct., 48(13), 1867–1878.
Buscarnera, G., and Nova, R. (2011). “Modelling instabilities in triaxial testing on unsaturated soil specimens.” Int. J. Numer. Anal. Methods Geomech., 35(2), 179–200.
Buscarnera, G., and Whittle, A. J. (2012). “Constitutive modeling approach for evaluating the triggering of flow slides.” Can. Geotech. J., 49(5), 499–511.
Castro, G., and Poulos, S. J. (1977). “Factors affecting liquefaction and cyclic mobility.” J. Geotech. Engng Div. Am. Soc. Civ. Engrs., 103(6), 501–516.
Chu, J., Leroueil, S., and Leong, W. K. (2003). “Unstable behavior of sand and its implication for slope stability.” Can. Geotech. J., 40(5), 873–885.
Daouadji, A., et al. (2011). “Diffuse failure in geomaterials: Experiments, theory and modelling.” Int. J. Numer. Anal. Methods Geomech., 35(16), 1731–1773.
Darve, F. (1994). “Liquefaction phenomenon: Modelling, stability and uniqueness.” Verifications of numerical procedures for the analysis of soil liquefaction problems, K. Arulanandan and R. F. Scott, eds., Balkema, Rotterdam, Netherlands, 1305–1319.
di Prisco, C., Imposimato, S., and Vardoulakis, I. (2000). “Mechanical modelling of drained creep triaxial tests on loose sands.” Geotechnique, 50(1), 73–82.
di Prisco, C., Matiotti, R., and Nova, R. (1995). “Theoretical investigation of the undrained stability of shallow submerged slopes.” Geotechnique, 45(3), 479–496.
di Prisco, C., and Nova, R. (1994). “Stability problems related to static liquefaction of loose sand.” Localisation and bifurcation theory for soils and rocks, R. Chambon, J. Desrues, and I. Vardoulakis, eds., Balkema, Rotterdam, Netherlands, 59–72.
Hight, D. W., Georgiannou, V. N., Martin, P. L., and Mundegar, A. K. (1999). “Flow slides in micaceous sands.” Proc., Int. Symp. Problematic Soils, E. Yanagisawa, N. Moroto and T. Mitachi, eds., Balkema, Rotterdam, Netherlands, 945–958.
Hill, R. (1958). “A general theory of uniqueness and stability in elastic-plastic solids.” J. Mech. Phys. Solids, 6(3), 239–249.
Imposimato, S., and Nova, R. (1998). “An investigation on the uniqueness of the incremental response of elastoplastic models for virgin sand.” Mech. Cohes.-Frict. Mater., 3(1), 65–87.
Ishihara, K. (1993). “Liquefaction and flow failure during earthquakes.” Geotechnique, 43(3), 351–415.
Kato, S., Ishihara, K., and Towhata, I. (2001). “Undrained shear characteristics of saturated sand under anisotropic consolidation.” Soil Found., 41(1), 1–11.
Klisinski, M., Mroz, Z., and Runesson, K. (1992). “Structure of constitutive equations in plasticity for different choices of state and control variables.” Int. J. Plast., 8(3), 221–243.
Kramer, S. L., and Seed, B. H. (1988). “Initiation of static liquefaction under static loading conditions.” J. Geotech. Eng., 114(4), 412–430.
Lade, P. (1992). “Static instability and liquefaction of loose fine sandy slopes.” J. Geotech. Eng., 118(1), 51–71.
Nova, R. (1989). “Liquefaction, stability, bifurcations of soil via strain-hardening plasticity.” Numerical methods for localisations and bifurcations of granular bodies, Proc., Int. Works, E. Dembicki, G. Gudehus, and Z. Sikora, eds., Technical Univ. of Gdansk, Gdansk, Poland, 117–132.
Nova, R. (1994). “Controllability of the incremental response of soil specimens subjected to arbitrary loading programmes.” J. Mech. Behavior Mater., 5(2), 193–201.
Nova, R. (2003). “The failure concept in soil mechanics revisited.” Bifurcations and instabilities in geomechanics, J. F. Labuz and A. Drescher, eds., Balkema, Lisse, Rotterdam, Netherlands, 3–16.
Pestana, J. M. (1994). “A unified constitutive model for clays and sands.” Sc.D. thesis, Dept. of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA.
Pestana, J. M., and Whittle, A. J. (1999). “Formulation of a unified constitutive model for clays and sands.” Int. J. Numer. Anal. Methods Geomech., 23(12), 1215–1243.
Pestana, J. M., Whittle, A. J., and Salvati, L. A. (2002). “Evaluation of a constitutive model for clays and sands. I: Sand behavior.” Int. J. Numer. Anal. Methods Geomech., 26(11), 1097–1121.
Poulos, S. J. (1981). “The steady state of deformation.” J. Geotech. Engng Div. Am. Soc. Civ. Engrs., 107(5), 553–562.
Poulos, S. J., Castro, G., and France, J. (1985). “Liquefaction evaluation procedure.” J. Geotech. Eng., 111(6), 772–792.
Seed, H. B., Seed, R. B., Schlosser, F., Blondeau, F., and Juran, I. (1988). “The landslide at the Port of Nice on October 16, 1979.” Rep. UCB/EERC-88/10, Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Sladen, J. A., D'Hollander, R. D., and Krahn, J. (1985). “Back analysis of the Nerlerk berm liquefaction slides.” Can. Geotech. J., 22(4), 579–588.
Verdugo, I. (1992). “Characterization of sandy soil behaviour under large deformation.” Doctoral thesis, Univ. of Tokyo.
Verdugo, I., and Ishihara, K. (1996). “The steady state of sandy soils.” Soil Found., 36(2), 81–91.
Wan, R. G., Pinheiro, M., and Guo, P. J. (2011). “Elastoplastic modelling of diffuse instability response of geomaterials.” Int. J. Numer. Anal. Methods Geomech., 35(2), 140–160.
Ziegler, H. (1968). Principles of structural stability. Blaisdell, Waltham, MA.

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Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 139Issue 3March 2013
Pages: 420 - 432

History

Received: Jul 18, 2011
Accepted: May 17, 2012
Published online: Feb 15, 2013
Published in print: Mar 1, 2013

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Authors

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Giuseppe Buscarnera, Aff.M.ASCE [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Northwestern Univ., Evanston, IL 60208; formerly, Research Assistant, Politecnico di Milano, 20133 Milan, Italy (corresponding author). E-mail: [email protected]
Andrew J. Whittle, M.ASCE
Professor, Dept. of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139.

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