Characterization of Failure in Cross-Anisotropic Soils
Publication: Journal of Engineering Mechanics
Volume 130, Issue 5
Abstract
Drained true triaxial tests on dense Santa Monica Beach sand deposited with a cross-anisotropic fabric have been performed to study the failure condition in the principal stress space. The failure surface was assumed to be symmetric around the vertical axis (on the octahedral plane of the principal stress space), but varying as a function of the Lode angle. Data from previously performed consolidated-undrained true triaxial tests on San Francisco Bay Mud and data from triaxial compression, triaxial extension, and plane strain tests on Toyoura sand showed similar behavior in terms of effective stresses. A three-dimensional failure criterion is proposed for characterization of failure in cross-anisotropic soils, under commonly occurring conditions when loading and depositional directions coincide and no significant rotation of principal stresses occur. This cross-anisotropic criterion is developed using a coordinate rotation of the principal stress space and utilization of an existing isotropic failure formulation. Derivation of the three required parameters is explained and illustrated. The proposed criterion is compared with various experimental results; and it is demonstrated that the failure criterion for cross-anisotropic soils captures the experimental behavior with good accuracy.
Get full access to this article
View all available purchase options and get full access to this article.
References
Abelev, A. V., and Lade, P. V.(2003). “Effects of cross-anisotropy on three-dimensional behavior of sand. I: Stress-strain behavior and shear banding.” J. Eng. Mech., 129(2), 160–166.
Arthur, J. R. F., and Menzies, B. K.(1972). “Inherent anisotropy in a sand.” Geotechnique, 22(1), 115–128.
Casagrande, A., and Carillo, N.(1944). “Shear failure of anisotropic materials.” J. Boston. Soc. Civ. Eng., 31(4), 74–87.
Duncan, J. M., and Seed, H. B.(1966). “Anisotropy and stress reorientation in clay.” J. Soil Mech. Found. Div., 92(5), 21–50.
El-Sohby, M. A., and Andrawes, K. Z. (1973). “Experimental examination of sand anisotropy.” Proc., 8th Int. Conf. on Soil Mechanics and Foundation Engineering, Moscow, 103–109.
Gasson, P. C. (1983). Geometry of spatial forms, Ellis Horwood Limited, Chichester, England.
Haruyama, M.(1981). “Anisotropic deformation-strength characteristics of an assembly of spherical particles under three dimensional stresses.” Soils Found., 21(4), 41–55.
Kim, M. K., and Lade, P. V.(1984). “Modeling rock strength in three dimensions.” Int. J. Rock Mech., Min. Sci. Geomech. Abstr., 21(1), 21–33.
Kirkgard, M. M., and Lade, P. V.(1991). “Anisotropy of normally consolidated San Francisco Bay Mud.” Geotech. Test. J., 14(3), 231–246.
Kirkgard, M. M., and Lade, P. V.(1993). “Anisotropic three-dimensional behavior of a normally consolidated clay.” Can. Geotech. J., 30, 848–858.
Korn, G. A., and Korn, T. M. (1961). Mathematical handbook for scientists and engineers, McGraw-Hill, New York.
Lade, P. V.(1977). “Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces.” Int. J. Solids Struct., 13, 1019–1035.
Lade, P. V.(1978). “Cubical triaxial apparatus for soil testing.” Geotech. Test. J., 1(2), 93–101.
Lade, P. V.(1982). “Three-parameter failure criterion for concrete.” J. Eng. Mech. Div., 108(5), 850–863.
Lade, P. V. (1984). “Failure criterion for frictional materials.” Mechanics of engineering materials, C. S. Desai and R. H. Gallagher, eds., Wiley, New York, 385–402.
Lade, P. V.(2003). “Analysis and prediction of shear banding under 3-D conditions in granular materials.” Soils Found., 43(4), 161–172.
Lade, P. V., and Abelev, A. V.(2003). “Effects of cross-anisotropy on three-dimensional behavior of sand. II: Volume change behavior and failure.” J. Eng. Mech., 129(2), 167–174.
Lade, P. V., and Duncan, J. M.(1973). “Cubical triaxial tests on cohesionless soil.” J. Soil Mech. Found. Div., 99(10), 793–812.
Lade, P. V., and Wang, Q.(2001). “Analysis of shear banding in true triaxial tests on sand.” J. Eng. Mech., 127(8), 762–768.
Lam, W.-K., and Tatsuoka, F.(1988). “Effects of initial anisotropic fabric and on strength and deformation characteristics of sand.” Soils Found., 28(1), 89–106.
Lewin, P. I., Yamada, Y., and Ishihara, K. (1982). “Correlated drained and undrained 3D tests on loose sand.” Proc., IUTAM Conf. on Deformation and Failure of Granular Materials, Balkema, Rotterdam, The Netherlands, 419–429.
Matsuoka, H., and Ishizaki, H. (1981). “Deformation and strength of anisotropic soil.” Proc., 10th Int. Conf. on Soil Mechanics and Foundation Engineering, Balkema, Rotterdam, The Netherlands, 1, 699–702.
Ochiai, H., and Lade, P. V.(1983). “Three-dimensional behavior of sand with anisotropic fabric.” J. Geotech. Eng., 109(10), 1313–1328.
Oda, M.(1972a). “Deformation mechanism of sand in triaxial compression tests.” Soils Found., 12(4), 45–63.
Oda, M.(1972b). “Initial fabrics and their relations to mechanical properties of granular material.” Soils Found., 12(1), 17–36.
Oda, M.(1972c). “The mechanism of fabric changes during compressional deformation of sand.” Soils Found., 12(2), 1–18.
Oda, M., Koishikawa, I., and Higuchi, T.(1978). “Experimental study of anisotropic shear strength of sand by plane strain test.” Soils Found., 18(1), 25–38.
Parkin, A. K., Gerrard, C. M., and Willoughby, D. R.(1968). “Discussion on deformation of sand in shear.” J. Soil Mech. Found. Div., 94(1), 336–340.
Rice, J. R. (1976). “The localization of plastic deformation.” Theoretical and Applied Mechanics: Proc., 14th IUTAM Congress, W. T. Koiter, ed., North-Holland, Amsterdam, The Netherlands, 207–229.
Rudnicki, J. W., and Rice, J. R.(1975). “Conditions for the localization of deformation in pressure-sensitive dilatant materials.” J. Mech. Phys. Solids, 23, 371–394.
Vardoulakis, I.(1980). “Shear band inclination and shear modulus of sand in biaxial tests.” Int. J. Numer. Analyt. Meth. Geomech., 4(3), 103–119.
Vardoulakis, I. G., and Sulem, J. (1995). Bifurcation analysis in geomechanics, Blackie Academic, London.
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.
Weindieck, K.(1967). “Zur struktur Königer medien.” Bautechnik, 6, 196–199.
Yamada, Y., and Ishihara, K.(1979). “Anisotropic deformation characteristics of sand under three-dimensional stress conditions.” Soils Found., 19(2), 79–94.
Information & Authors
Information
Published In
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: May 1, 2002
Accepted: Sep 11, 2003
Published online: Apr 15, 2004
Published in print: May 2004
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.