Abstract
The strength properties of transversely isotropic soils are closely related to the loading direction. These direction-dependent properties have been testified by a series of laboratory tests. Two primary features for peak strength are obtained: the distortion of the strength curve on the deviatoric plane and the change of the internal friction angle associated with the direction angle between the major principal stress-acting plane and the depositional plane. How to describe these two features in a unified way is a difficult and hot research topic. This paper aims at solving this problem by proposing a strength parameter that was obtained by projecting the microstructure tensor on the direction of the spatial mobilized plane. It is an approach to extend an isotropic strength criterion into a transverse isotropy one. The combination of the proposed strength parameter with the isotropic non-linear unified strength criterion can well capture the distorted strength curve and its evolution with the increase of direction angle. The effects of the intermediated principle stress ratio b and the direction angle δ are also analysed. Material parameters in the proposed criterion can be conveniently obtained from the conventional laboratory tests. It is demonstrated that the new proposed criterion can be verified favorably by the test results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Su, S.F., Liao, H.J.: Effect of strength anisotropy on undrained slope stability in clay. Géotechnique 49(2), 215–230 (1999)
Fu, P.C., Dafalias, Y.F.: Study of anisotropic shear strength of granular materials using DEM simulation. Int. J. Numer. Anal. Methods Geomech. 35(10), 1098–1126 (2011)
Kimura, T., Kusakabe, O., Saitoh, K.: Geotechnical model tests of bearing in a centrifuge. Géotechnique 35(1), 33–45 (1985)
Zdravkovic, L., Potts, D.M., Hight, D.W.: The effect of strength anisotropy on the behaviour of embankments on soft ground. Géotechnique 52(6), 447–457 (2002)
Sun, D.A., et al.: An anisotropic hardening elastoplastic model for clays and sands and its application to FE analysis. Comput. Geotech. 31(1), 37–46 (2004)
Oda, M., Koishikawa, I., Higuchi, T.: Experimental study of anisotropic shear strength of sand by plane strain test. Soils Found. 18(1), 25–38 (1978)
Tatsuoka, F., et al.: Strength and deformation characteristics of sand in plane strain compression at extremely low pressures. Soils Found. 26(1), 65–84 (1986)
Callisto, L., Calabresi, G.: Mechanical behaviour of a natural soft clay. Géotechnique 48(4), 495–513 (1998)
Rodriguez, N.M., Lade, P.V.: True triaxial tests on cross-anisotropic deposits of fine Nevada sand. Int. J. Geomech. 13(6), 779–793 (2013)
Kirkgard, M.M., Lade, P.V.: Anisotropic three-dimensional behavior of a normally consolidated clay. Can. Geotech. J. 30(5), 848–858 (1993)
Zdravkovic, L., Jardine, R.J.: The effect on anisotropy of rotating the principal stress axes during consolidation. Géotechnique 51(1), 69–83 (2001)
Yang, L.T., et al.: A laboratory study of anisotropic geomaterials incorporating recent micromechanical understanding. Acta Geotech. 11(5), 1111–1129 (2016)
Lade, P.V., Rodriguez, N.M., Van Dyck, E.J.: Effects of principal stress directions on 3D failure conditions in cross-anisotropic sand. J. Geotech. Geoenviron. Eng. 140(2), 1–12 (2014)
Mortara, G.: A yield criterion for isotropic and cross-anisotropic cohesive-frictional materials. Int. J. Numer. Anal. Meth. Geomech. 34(10), 953–977 (2010)
Abelev, A.V., Lade, P.V.: Characterization of failure in cross-anisotropic soils. J. Eng. Mech. 130(5), 599–606 (2004)
Tobita, Y., Yanagisawa, E.: Modified stress tensors for anisotropic behavior of granular materials. Soils Found. 32(1), 85–99 (1992)
Gao, Z.W., Zhao, J.D., Yao, Y.P.: A generalized anisotropic failure criterion for geomaterials. Int. J. Solids Struct. 47(22–23), 3166–3185 (2010)
Pietruszczak, S., Mroz, Z.: Formulation of anisotropic failure criteria incorporating a microstructure tensor. Comput. Geotech. 26(2), 105–112 (2000)
Yao, Y.P., Kong, Y.X.: Extended UH model: three-dimensional unified hardening model for anisotropic clays. J. Eng. Mech. 138(7), 853–866 (2012)
Liu, M.D., Indraratna, B.N.: General strength criterion for geomaterials including anisotropic effect. Int. J. Geomech. 11(3), 251–261 (2011)
Pietruszczak, S., Guo, P.J.: Description of deformation process in inherently anisotropic granular materials. Int. J. Numer. Anal. Meth. Geomech. 37(5), 478–490 (2013)
Rodriguez, N.M., Lade, P.V.: Effects of principal stress directions and mean normal stress on failure criterion for cross-anisotropic sand. J. Eng. Mech. 139(11), 1592–1601 (2013)
Lu, D.C., et al.: Development of a new nonlinear unified strength theory for geomaterials based on the characteristic stress concept. Int. J. Geomech. 17(2) (2017). https://doi.org/10.1061/(ASCE)gm.1943-5622.0000729
Ma, C., et al.: Developing a 3D elastoplastic constitutive model for soils: a new approach based on characteristic stress. Comput. Geotech. 86, 129–140 (2017)
Imam, S.M.R., et al.: Effect of anisotropic yielding on the flow liquefaction of loose sand. Soils Found. 42(2), 33–44 (2002)
Lade, P.V.: Failure criterion for cross-anisotropic soils. J. Geotech. Geoenviron. Eng. 134(1), 117–124 (2008)
Acknowledgements
This study was supported by the National Natural Science Foundation of China (Grant Nos. 51522802, 51778026, 51421005) and the National Natural Science Foundation of Beijing (8161001).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Liang, J., Lu, D., Zhang, J., Du, X. (2018). Strength Criterion Associated with the Loading Direction for Transversely Isotropic Soils. In: Zhou, A., Tao, J., Gu, X., Hu, L. (eds) Proceedings of GeoShanghai 2018 International Conference: Fundamentals of Soil Behaviours. GSIC 2018. Springer, Singapore. https://doi.org/10.1007/978-981-13-0125-4_26
Download citation
DOI: https://doi.org/10.1007/978-981-13-0125-4_26
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-0124-7
Online ISBN: 978-981-13-0125-4
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)