Formulation of Cross-Anisotropic Failure Criterion for Granular Material
This article has been corrected.
VIEW CORRECTIONPublication: International Journal of Geomechanics
Volume 12, Issue 2
Abstract
The failure anisotropy of geomaterial is inherently related to the microstructure such as grain arrangement, bedding, and crack pattern. This paper presents a formulation of an anisotropic failure criterion in three-dimensional (3D) stress space on the basis of the combination of the SMP criterion and a material microstructure tensor proposed in previous publications. The criterion is specialized for cross-anisotropic granular-material based on the loading direction and the direction of material bedding determined by two angles in 3D stress space. Consequently, it can describe the variation of strength resulting from the changing of the direction of material bedding and the changing of the stress state. Furthermore, the proposed criterion can capture the cross-anisotropic strength behavior of granular materials, which is concluded from the comparisons between its predicted and relevant experimental results.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors appreciate the supports of the National Natural Science Foundation for Distinguished Young Scholar (Grant No. 50825901), the Fundamental Research Funds for the Central Universities (Grant No. 2010B15014) and Jiangsu Civil Engineering Graduate Center for Innovation and Academic Communication Foundation.
References
Abelev, A. V., and Lade, P. V. (2003). “Effects of cross anisotropy on three-dimensional behavior of sand. part: Stress-strain behavior and shear banding.” J. Eng. Mech.JENMDT, 129(2), 160–166.
Abelev, A. V., and Lade, P. V. (2004). “Characterization of failure in cross-anisotropic soils.” J. Eng. Mech.JENMDT, 130(5), 599–606.
Gao, Z., Zhao, J., and Yao, Y. (2010). “A generalized anisotropic failure criterion for geomaterials.” Int. J. Solids Struct., 47(22-23), 3166–3185.IJSOAD
Guo, P. J., and Stolle, D. F. E. (2005). “On the failure of granular materials with fabric effects.” Soils Found., 45(4), 1–12.SOIFBE
Imam, S. M., Chan, D. H., and Robertson, P. K. et al. (2002). “Effect of anisotropic yielding on the flow liquefaction of loose sand.” Soils Found., 42(3), 33–44.SOIFBE
Kirkgard, M. M., and Lade, P. V. (1993). “Anisotropic three-dimensional behavior of a normally consolidated clay.” Can. Geotech. J.CGJOAH, 30(5), 848–858.
Lade, P. V. (1977). “Elasto-plastic stress-strain theory for cohesionless soil with curved yield surface.” Int. J. Solids Struct., 13(11), 1019–1035.IJSOAD
Lade, P. V. (2007). “Modeling failure in cross-anisotropic frictional materials.” Int. J. Solids Struct., 44(16), 5146–5162.IJSOAD
Lade, P. V. (2008). “Failure criterion for cross-anisotropic soils.” J. Geotech. Geoenviron. Eng.JGGEFK, 134(1), 117–124.
Lade, P. V., and Duncan, J. M. (1975). “Elastoplastic stess-strain theory for cohesionless soil.” J. Geotech. Eng. Div.JGENDZ, 101(GT10), 1037–1053.
Lade, P. V., and Abelev, A. V. (2005). “Characterization of cross-anisotropic soil deposits from isotropic compression tests.” Soils Found., 45(5), 89–102.SOIFBE
Lade, P. V., and Kirkgard, M. M. (2000). “Effects of stress rotation and changes of -values on cross-anisotropic behavior of natural, -consolidated soft clay.” Soils Found., 40(6), 93–105.SOIFBE
Lam, W. K., and Tatsuoka, F. (1988). “Effects of initial anisotropic fabric and r2 on strength and deformation characteristics of sand.” Soils Found., 28(1), 89–106.SOIFBE
Lee, Y., and Pietruszczak, S. (2008). “Application of critical plane approach to the prediction of strength anisotropy in transversely isotropic rock masses.” Int. J. Rock Mech. Min. Sci., 45(4), 513–523.IJRMA2
Liu, H. L., Xiao, Y., and Liu, J. Y., et al. (2010). “A new elliptic-parabolic yield surface model revised by an adaptive criterion for granular soils.” Sci. China Tech. Sci.SCTSBO, 53(8), 2152–2159.
Liu, M. D., and Carter, J. P. (2003). “General strength criterion for geomaterials.” Int. J. Geomech.IJGNAI, 3(2), 253–259.
Matsuoka, H. (1976). “On the significance of the spatial mobilized plane.” Soils Found., 16(1), 91–100.SOIFBE
Matsuoka, H., and Nakai, T. (1974). “Stress-deformation and strength characteristics of soil under three difference principal stresses.” Proc. JSCE, 232(9), 59–70.F0028A
Mortara, G. (2008). “A new yield and failure criterion for geomaterials.” Géotechnique, 58(2), 125–132.GTNQA8
Mortara, G. (2010). “A yield criterion for isotropic and cross-anisotropic cohesive-frictional materials.” Int. J. Numer. Anal. Meth. Geomech., 34, 953–977.
Mroz, Z., and Maciejewski, J. (2002). “Failure criteria of anisotropically damaged materials based on the critical plane concept.” Int. J. Numer. Anal. Meth. Geomech., 26(4), 407–431.
Ochiai, H., and Lade, P. V. (1983). “Three-dimensional behavior of sand with anisotropic fabric.” J. Geotech. Eng., 109(10), 1313–1328.JGENDZ
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.SOIFBE
Oda, M., and Nakayama, H. (1989). “Yield function for soil with anisotropic fabric.” J. Eng. Mech.JENMDT, 115(1), 89–104.
Pietruszczak, Z., and Mroz, Z. (2000). “Formulation of anisotropic failure criteria incorporating a microstructure tensor.” Comput. Geotech., 26(2), 105–112.CGEOEU
Pietruszczak, Z., and Mroz, Z. (2001). “On failure criteria for anisotropic cohesive-frictional materials.” Int. J. Numer. Anal. Meth. Geomech., 25(5), 509–524.
Roscoe, K., Schorfield, A. N., and Wroth, C. P. (1958). “On the yielding of soil.” Géotechnique, 8(1), 22–53.GTNQA8
Su, D., Wang, Z. L., and Xing, F. (2009). “A two-parameter expression for failure surfaces.” Comput. Geotech., 36(3), 517–524.CGEOEU
Xiao, Y., Liu, H. L., and Zhu, J. G. (2010). “Failure criterion for granular soils.” Chin. J. Geotech. Eng.YGXUEB, 32(4), 586–591 (in Chinese).
Yu, M. H., Zan, Y. W., and Zhao, J., et al. (2002). “A unified strength criterion for rock materials.” Int. J. Rock Mech. Min. Sci., 39(8), 975–989.IJRMA2
Information & Authors
Information
Published In
Copyright
© 2012. American Society of Civil Engineers.
History
Received: Oct 12, 2010
Accepted: Apr 14, 2011
Published online: Apr 15, 2011
Published in print: Apr 1, 2012
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.