Liquefaction Mapping in Finite-Element Simulations
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 135, Issue 11
Abstract
Recent criteria have been developed to describe the onset of static liquefaction in constitutive models. This paper expands the theory to a finite-element framework in order to predict potentially unstable regions in granular soils at the engineering scale. Example simulations are presented for two plane strain tests and a submarine slope to demonstrate the applicability of a proposed liquefaction criterion to boundary value problems. In addition, loading rate and mesh size effects on the liquefaction prediction are examined. The methodology presented herein shows promise as a means of predicting soil liquefaction based on solid mechanical theory rather than empiricism.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
K. C. E. would like to acknowledge the partial support of his MS studies at Northwestern via a Walter P. Murphy Graduate Fellowship. Also, the writers are grateful to the anonymous reviewers for their insightful comments. Partial support for this work was provided by the National Science Foundation under Grant No. CMMI-0726908 to Northwestern University. This support is gratefully acknowledged.
References
Andrade, J. E. (2009). “A predictive model for static liquefaction.” Geotechnique, in press.
Andrade, J. E., Baker, J. W., and Ellison, K. C. (2008). “Random porosity fields and their influence on the stability of granular media.” Int. J. Numer. Analyt. Meth. Geomech., 32, 1147–1172.
Andrade J. E., and Borja, R. I. (2006). “Capturing strain localization in dense sands with random density.” Int. J. Numer. Methods Eng., 67, 1531–1564.
Andrade, J. E., and Borja, R. I. (2007). “Modeling deformation banding in dense and loose fluid-saturated sands.” Finite Elem. Anal. Design, 43, 361–383.
Andrade, J. E., and Ellison, K. C. (2008). “Evaluation of a predictive constitutive model for sands.” J. Geotech. Geoenviron. Eng., 134 (12), 1825–1828.
Borja, R. I. (2006). “Condition for liquefaction instability in fluid-saturated granular soils.” Acta Geotechnica, 1, 211–224.
Borja, R. I., and Andrade, J. E. (2006). “Critical state plasticity. Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials.” Comput. Methods Appl. Mech. Eng., 195, 5115–5140.
Buckingham, E. (1914). “On physically similar systems; illustrations of the use of dimensional equations.” Phys. Rev., 4, 345–376.
Doanh, T., Ibraim, E., and Matiotti, R. (1997). “Undrained instability of very loose hostun sand in triaxial compression and extension. Part 1: experimental observations.” Mech. Cohesive-Frict. Mater., 2, 47–70.
Hill, R. (1958). “A general theory of uniqueness and stability in elastic-plastic solids.” J. Mech. Phys. Solids, 6, 236–249.
Houlsby, G. T. (1985). “The use of a variable shear modulus in elasto-plastic models for clays.” Comput. Geotech., 1, 3–13.
Ishihara, K., Tatsuoka, F., and Yasuda, S. (1975). “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils Found., 15, 29–44.
Jefferies, M. G. (1993). “Nor-Sand: A simple critical state model for sand.” Geotechnique, 43, 91–103.
Kramer, S. L. (1996). Geotechnical earthquake engineering, Prentice-Hall, Upper Saddle River, N.J.
Lade, P. V. (1992). “Static instability and liquefaction of loose fine sandy slopes.” J. Geotech. Engrg., 118(1), 51–71.
Nova, R. (1994). “Controllability of the incremental response of soil specimens subjected to arbitrary loading programmes.” J. Mech. Behav. Mater., 5, 193–201.
Pradel, D., and Lade, P. V. (1990). “Instability and plastic flow of soils. I: Analytical investigation.” J. Eng. Mech., 116(11), 2551–2566.
Rudnicki, J. W., and Rice, J. R. (1975). “Conditions for localization of deformation in pressure-sensitive dilatant materials.” J. Mech. Phys. Solids, 23, 371–394.
Schofield, A., and Wroth, P. (1968). Critical state soil mechanics, McGraw-Hill, New York.
Information & Authors
Information
Published In
Copyright
© 2009 ASCE.
History
Received: Nov 28, 2007
Accepted: Apr 3, 2009
Published online: Apr 14, 2009
Published in print: Nov 2009
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.