TECHNICAL PAPERS
Dec 1, 2006

Unified Sand Model Based on the Critical State and Generalized Plasticity

Publication: Journal of Engineering Mechanics
Volume 132, Issue 12

Abstract

Based on the critical state concept and with the use of a state parameter, a unified generalized plasticity model is proposed for sand. The model uses a nonlinear critical state line. The plastic modulus, loading vectors and plastic flow direction vectors of a generalized plasticity model were modified so that they depend on the state parameter. With a single set of parameters, the model simulates the stress-deformation behavior of sand of different densities and pressure levels, under both drained and undrained conditions. A total of 12 parameters are required for monotonic loading and additional five parameters are included to consider cycling loading. The model is calibrated using the results of a minimum of two triaxial compression tests conducted on specimens of different densities and confining pressures. The model has been validated against the monotonic and cyclic test results of Toyoura sand, Nevada sand, and Fuji River sand. The comparison between simulations and test results showed that the model is capable of simulating sophisticated sand behavior. Its limitation in simulating monotonic loading following series of cyclic loadings of dense sand is discussed.

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Acknowledgments

The study is based upon works supported by the National Science Foundation under Career Award Grant No. NSFCMS-0092739 with Dr. Richard J. Fragaszy as Program Director. The development of unified model was inspired by the comments made by one of the reviewers for Ling and Liu (2003). In the current submission, the anonymous reviewer provided useful insights into generalized plasticity and issues related to cyclic loading simulation.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 132Issue 12December 2006
Pages: 1380 - 1391

History

Received: Apr 11, 2005
Accepted: Jun 5, 2006
Published online: Dec 1, 2006
Published in print: Dec 2006

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Notes

Note. Associate Editor: George Z. Voyiadjis

Authors

Affiliations

Hoe I. Ling, M.ASCE
Associate Professor, Dept. of Civil Engineering and Engineering Mechanics, Columbia Univ., 500 West 120th St., New York, NY 10027; also, Visiting Associate Professor, Division of Engineering and Applied Sciences, Harvard Univ., 29 Oxford Street, Cambridge, MA 02138. E-mail: [email protected]
Songtao Yang
Graduate Research Assistant, Dept. of Civil Engineering and Engineering Mechanics, Columbia Univ., 500 West 120th St., New York, NY 10027.

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