Procedures for Elastoplastic Liquefaction Modeling of Sands
Publication: Journal of Engineering Mechanics
Volume 120, Issue 7
Abstract
When subjected to undrained cyclic loading, cohesionless soils are known to build up pore‐water pressure to the extent that the soil loses the effective confining pressure completely, leading to what is known as liquefaction. Presented in this paper is an elastoplastic model that is capable of describing the stress‐strain behavior of sands during such an event. The model is developed by modifying an earlier model, which was shown to be capable of modeling the behavior of sands during monotonic loading. Two procedures, one employing an associated flow rule and another employing a nonassociated flow rule, are proposed for modeling the pore pressure and strain responses during stress reversal, and their potential for modeling liquefaction behavior is explored. The model's capability is examined by comparing the theoretical predictions with experimental triaxial responses.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anandarajah, A. (1992). “Calibration of an elasto‐plastic model using results of Nevada sand.” Res. Rep., Dept. of Civil Engineering, The Johns Hopkins Univ., Baltimore, Md.
2.
Anandarajah, A. (1993). “VELACS project: elasto‐plastic finite element predictions of the liquefaction behavior of models 1, 3 and 4A.” Proc., Int. Conf. on Verification of Numer. Procedures for Anal. of Soil Liquefaction Prob., Vol. 1, K. Arulanandan and K. S. Scott, eds., National Science Foundation, Washington, D.C., 1075–1104.
3.
Anandarajah, A., and Agarwal, D. (1991). “Computer‐aided calibration of a soil plasticity model.” Int. J. for Numer. and Anal. Methods in Geomech., 15(12).
4.
Anandarajah, A., and Dafalias, Y. F. (1986). “Bounding surface plasticity. III: application to anisotropic cohesive clays.” J. Engrg. Mech., ASCE, 112(12), 1292–1318.
5.
Castro, G. (1969). “Liquefaction of sands.” Harvard SM Series No. 81.
6.
Dafalias, Y. F. (1986). “Bounding surface plasticity, part 1: mathematical foundation and hypoplasticity.” J. Engrg. Mech. Div., ASCE, 112(9), 966–987.
7.
Dafalias, Y. F., and Herrmann, L. (1986). “Bounding surface plasticity. II: application to isotropic cohesive clays.” J. Engrg. Mech., ASCE, 112(12), 1242–1291.
8.
Drucker, D. C. (1956). “On uniqueness in the theory of plasticity.” Q. Appl. Math., 14, 35–42.
9.
Drucker, D. C. (1959). “A definition of stable inelastic material.” J. Appl. Math., 26, 101–106.
10.
Earth Technology Corp., The (1992). “Verification of liquefaction analysis by centrifuge studies.” Soil Data Rep., Long Beach, Calif.
11.
Ghaboussi, J., and Momen, H. (1982). “Modeling and analysis of cyclic behavior of soils.” Soil mechanics‐transient and cyclic loads, G. N. Pande and O. C. Zienkiewicz, eds., J. Wiley, New York, N.Y., 313–342.
12.
Habib, P., and Luong, M. P. (1978). “Sols pulverulents sous chargement cyclique.” Ingenieurs Anciens Eleves de l'Ecole Nationale des Ponts et Chaussees, 49–79.
13.
Ishihara, K., and Okada, S. (1978). “Effects of stress history on cyclic behavior of sands.” Soils and Foundations, Japanese Society of Soil Mechanics and Foundation Engineering, 18(4).
14.
Ishihara, K., Tatsuoka, F., and Yasuda, S. (1975). “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils and Foundations, 15(1), 29–44.
15.
Pastor, M., Zienkiewicz, O. C., and Leung, K. H. (1985). “A simple model for transient loading in earthquake analysis, part II: non‐associative model for sands.” Int. J. Num. Anal. Methods in Geomech., 9, 477–498.
16.
Prevost, J. H. (1985). “A simple plasticity theory for frictional cohesionless soils.” Soil Dyn. and Earthquake Engrg., 4(1), 9–17.
17.
Richart, F. E., Hall, J. R. Jr., and Woods, R. D. (1970). Vibrations of soils and foundations. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
18.
Roscoe, K. H., and Burland, J. B. (1968). On the generalized stress‐strain behavior of wet clays. J. Heyman and F. A. Leckie, eds., Cambridge University Press, Cambridge, England, 535–609.
19.
Schofield, A., and Wroth, P. (1968). Critical state soil mechanics. McGraw Hill Publishers, New York, N.Y.
20.
Wang, Z‐L., Dafalias, Y. F., and Shen, C‐K. (1990). “Bounding surface hypoplasticity model for sand.” J. Engrg. Mech., ASCE, 116(5), 983–1001.
21.
Zienkiewicz, O. C., Leung, K. H., and Pastor, M. (1985). “A simple model for transient loading in earthquake analysis, part I: basic model.” Int. J. Num. Anal. Methods in Geomech., 9, 453–476.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 7 • July 1994
Pages: 1563 - 1589
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jan 11, 1993
Published online: Jul 1, 1994
Published in print: Jul 1994
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.