TECHNICAL PAPERS
Sep 1, 2008

Ultimate State of Samples of Ellipsoids under Different Stress Paths

Publication: Journal of Engineering Mechanics
Volume 134, Issue 9

Abstract

The ultimate state of granular material was investigated by the discrete element method. This paper discusses a series of numerical triaxial tests on samples of two kinds of ellipsoids. Samples of three different densities were loaded along various stress paths. The ellipsoids were mixed in the proportions 50:50 by weight. The longer particles have an aspect ratio (major length/minor length) of 1.5 and the other particles have an aspect ratio of 1.2. The samples were generated by deposition under gravity to simulate the air-pluviation sample preparation technique. Then they were consolidated isotropically. Fourteen stress-path controlled triaxial tests were conducted numerically for each sample. They are sheared to the ultimate state to determine the friction angle and void ratio at the ultimate state. When samples of different densities were sheared along the same loading path, a unique ultimate state was observed. The initial density does not affect the ultimate state. However, when different loading paths are applied to the same numerical specimen, they do not always arrive at the same critical state in the void-mean stress space.

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References

Ayoubian, A. (1996). “Triaxial testing on very loose sands for flow liquefaction analyses.” MSc thesis, Univ. of Alberta, Edmonton, Alta, Canada.
Been, K., Jefferies, M. G., and Hachey, J. (1991). “The critical state of sands.” Geotechnique, 41(3), 365–381.
Bolton, M. D. (1986). “The strength and dilatancy of sands.” Geotechnique, 36(1), 65–78.
Cundall, P. A., and Strack, O. L. (1979). “A discrete numerical model for granular assemblies.” Geotechnique, 29(1), 47–65.
Lambe, T. W., and Whitman, R. V. (1969). Soil mechanics, Wiley, New York.
Lin, X., and Ng, T.-T. (1997). “A three dimensional element model using arrays of ellipsoids.” Geotechnique, 47(2), 319–329.
Ng, T.-T. (2002). “Hydrostatic boundaries in discrete element methods. Discrete element methods: Numerical modeling of discontinua.” Geotechnical Special Publication, No. 117, ASCE, 47–51.
Ng, T.-T. (2004a). “Behavior of ellipsoids of two sizes.” J. Geotech. Geoenviron. Eng., 130(10), 1077–1083.
Ng, T.-T. (2004b). “Macro- and microbehavior of granular materials under different sample preparation methods and stress paths.” Int. J. Solids Struct., 41(21), 5871–5884.
Ng, T.-T. (2005). “Behavior of gravity deposited granular material under different stress paths.” Can. Geotech. J., 42(6), 1644–1655.
Robertson, P. K., Sasitharan, S., Cunning, J. C., and Sego, D. C. (1995). “Shear wave velocity to evaluate in-situ state of Ottawa sand.” J. Geotech. Engrg., 121(3), 262–273.
Roscoe, K. H., Schofield, A. N., and Wroth, C. P. (1958). “On the yielding of soils.” Geotechnique, 8, 22–53.
Simmons, G., and Brace, W. F. (1965). “Comparison of static and dynamic measurements of compressibility of rocks.” J. Geophys. Res., 70, 5649–5656.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 134Issue 9September 2008
Pages: 723 - 729

History

Received: Apr 11, 2006
Accepted: Feb 20, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008

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Notes

Note. Associate Editor: Ching S. Chang

Authors

Affiliations

Tang-Tat Ng, F.ASCE
Professor, Civil Engineering Dept., Univ. of New Mexico, MSCO1-1070, Albuquerque, NM 87131. E-mail: [email protected]

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