TECHNICAL PAPERS
Jan 1, 2008

Failure Criterion for Cross-Anisotropic Soils

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 134, Issue 1

Abstract

Experimental evidence and analyses of results of three-dimensional (3D) tests show that the shape of the failure surface for soils is influenced by the intermediate principal stress, shear banding, and cross anisotropy. Presented here is a formulation of a general 3D failure criterion for cross-anisotropic soils for both nonrotating and rotating stresses. The formulation relates the loading direction to the principal directions of the cross-anisotropic microstructure of the soil. The criterion is based on a function of stress, previously used as the 3D failure criterion for isotropic frictional materials, which is set equal to a scalar that varies over a sphere. The formulation is specialized for true triaxial tests and torsion shear tests and determination of material parameters is demonstrated. The failure criterion for cross-anisotropic soils is compared with experimental results from the literature to show that it is able to capture the conditions obtained in true triaxial tests without stress rotations as well as the conditions in torsion shear tests performed to study effects of stress rotation. Sets of data from some classic true triaxial tests are reinterpreted to show their true cross-anisotropic behavior.

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References

Abelev, A. V., and Lade, P. V. (2004). “Characterization of failure in cross-anisotropic soils.” J. Eng. Mech., 130(5), 599–606.
Lade, P. V. (1977). “Elastoplastic stress-strain theory for cohesionless soil with curved yield surfaces.” Int. J. Solids Struct., 13, 1019–1035.
Lade, P. V. (2003). “Analysis and prediction of shear banding under 3D conditions in granular materials.” Soils Found., 43(4), 161–172.
Lade, P. V. (2006). “Assessment of test data for selection of 3D failure criterion for sand.” Int. J. Numer. Analyt. Meth. Geomech., 30(4), 307–333.
Lade, P. V., and Abelev, A. V. (2005). “Characterization of cross-anisotropic soil deposits from isotropic compression tests.” Soils Found., 45(5), 89–102.
Lade, P. V., Nam, J., and Hong, W. P. (2006a). “Interpretation of strains in torsions shear tests.” Comput. Geotech., submitted.
Lade, P. V., Nam, J., and Hong, W. P. (2006b). “Shear banding and cross-anisotropic behavior observed in laboratory sand tests with stress rotation.” Can. Geotech. J., accepted.
Matsuoka, H., and Nakai, T. (1974). “Stress-deformation and strength characteristics of soil under different principal stresses.” Proc., JSCE, 232, 59–70.
Ochiai, H., and Lade, P. V. (1983). “Three-dimensional behavior of sand with anisotropic fabric.” J. Geotech. Engrg., 109(10), 1313–1328.
Pietruszczak, S., and Mroz, Z. (2000). “Formulation of anisotropic failure criteria incorporating a microstructure tensor.” Comput. Geotech., 26, 105–112.
Pietruszczak, S., and Mroz, Z. (2001). “On failure criteria for anisotropic cohesive-frictional materials.” Int. J. Numer. Analyt. Meth. Geomech., 25, 509–524.
Ramamurthy, T., and Rawat, P. C. (1973). “Shear strength of sand under general stress system.” Proc., 8th Int. Conf. Soil Mech. Found. Engrg, Vol. 1.2, Moscow, 339–342.
Sutherland, H. B., and Mesdary, M. S. (1969). “The influence of the intermediate principal stress on the strength of sand.” Proc., 7th Int. Conf. Soil Mech. Found. Engrg., Vol. 1, Mexico City, 391–399.
Wang, Q., and Lade, P. V. (2001). “Shear banding in true triaxial tests and its effect on failure in sand.” J. Eng. Mech., 127(8), 754–761.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 134Issue 1January 2008
Pages: 117 - 124

History

Received: Aug 2, 2006
Accepted: Dec 27, 2006
Published online: Jan 1, 2008
Published in print: Jan 2008

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Authors

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Poul V. Lade, M.ASCE [email protected]
Professor and Chair, Dept. of Civil Engineering, Catholic Univ. of America, Washington, D.C. 20064. E-mail: [email protected]

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