Effects of Initial Direction and Subsequent Rotation of Principal Stresses on Liquefaction Potential of Loose Sand
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 146, Issue 3
Abstract
The effects of the initial orientation of principal stress axes and subsequent rotation of principal stresses on liquefaction susceptibility of sands were investigated. Monotonic and cyclic hollow cylinder torsional shear tests were carried out on Fraser River sand specimens consolidated to different initial principal stress orientations and subjected to principal stress rotation during loading. Cyclic loading was applied with constant amplitude cyclic deviator stress, but along stress paths that impose different magnitudes of principal stress rotation. Test results demonstrate that the cyclic resistance ratio (CRR) is influenced by both the initial orientation of principal stresses and the magnitude of stress rotation during dynamic loading. These results suggest that the degree of stress rotation influences CRR more significantly than the initial principal stress orientation. Yet, the effects of the degree of stress rotation are not considered in current liquefaction assessment practice. The only available mechanism to account for principal stress directions is the use of the factor, which focuses on the initial principal stress orientation only. Irrespective of the initial inclination of the major principal stress axis, the weakest cyclic resistance was noted in tests with a principal stress rotation of . The increased susceptibility to liquefaction is possibly due to factors such as the inclination of the plane of maximum shear stress with the bedding plane, inclination of major principal stress with the bedding plane, the presence of horizontal shear stress, and the nature of the variation of shear stress on the weak bedding plane.
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Acknowledgments
This research was supported by grants from the Natural Sciences and Engineering Research Council of Canada, Canada Foundation for Innovation, and the Ontario Innovation Trust. The financial support provided by Ontario Trillium Scholarship to the first author, and the technical assistance of Stanley Conley, Pierre Trudel, and Jason Arnott are gratefully acknowledged.
References
ASTM. 2014a. Standard test methods for specific gravity of soil solids by water pycnometer. ASTM D854. West Conshohocken, PA: ASTM.
ASTM. 2014b. Standard test methods for maximum index density and unit weight of soils using a vibratory table. ASTM D4253. West Conshohocken, PA: ASTM.
ASTM. 2014c. Standard test methods for minimum index density and unit weight of soils and calculation of relative density. ASTM D4254. West Conshohocken, PA: ASTM.
Boulanger, R., and R. B. Seed. 1995. “Liquefaction of sand under bidirectional monotonic and cyclic loading.” J. Geotech. Eng. 121 (12): 870–878. https://doi.org/10.1061/(ASCE)0733-9410(1995)121:12(870).
Cai, Y., Q. Sun, L. Guo, C. H. Juang, and J. Wang. 2015. “Permanent deformation characteristics of saturated sand under cyclic loading.” Can. Geotech. J. 52 (6): 795–807. https://doi.org/10.1139/cgj-2014-0341.
Castro, G., and S. J. Poulos. 1977. “Factors affecting liquefaction and cyclic mobility.” J. Geotech. Eng. Div. 103 (6): 501–516.
Gräbe, P. J., and C. R. Clayton. 2014. “Effects of principal stress rotation on permanent deformation in rail track foundations.” J. Geotech. Geoenviron. Eng. 140 (2): 04013010. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001023.
Harder, L. F., and R. W. Boulanger. 1997. Application of and correction factors. Buffalo, NY: National Center for Earthquake Engineering Research.
Huang, B., X. Chen, and Y. Zhao. 2015. “A new index for evaluating liquefaction resistance of soil under combined cyclic shear stresses.” Eng. Geol. 199 (Dec): 125–139. https://doi.org/10.1016/j.enggeo.2015.10.012.
Idriss, I. M., and R. W. Boulanger. 2008. Soil liquefaction during earthquakes. Monograph MNO-12. Oakland, CA: Earthquake Engineering Research Institute.
Inam, A., T. Ishikawa, and S. Miura. 2012. “Effect of principal stress axis rotation on cyclic plastic deformation characteristics of unsaturated base course material.” Soils Found. 52 (3): 465–480. https://doi.org/10.1016/j.sandf.2012.05.006.
Ishihara, K., F. Tatsuoka, and S. Yasuda. 1975. “Undrained deformation and liquefaction of sand under cyclic stresses.” Soils Found. 15 (1): 29–44. https://doi.org/10.3208/sandf1972.15.29.
Ishihara, K., and I. Towhata. 1983. “Sand response to cyclic rotation of principal stress directions as induced by wave loads.” Soils Found. 23 (4): 11–26. https://doi.org/10.3208/sandf1972.23.4_11.
Lade, P. V., and M. M. Kirkgard. 2000. “Effects of stress rotation and changes of b-values on cross-anisotripic behavior of natural, -consolidated soft clay.” Soils Found. 40 (6): 93–105. https://doi.org/10.3208/sandf.40.6_93.
Lade, P. V., N. M. Rodriguez, and E. J. Van Dyck. 2013. “Effects of principal stress directions on 3D failure conditions in cross-anisotropic sand.” J. Geotech. Geoenviron. Eng. 140 (2): 1–12. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001005.
Logeswaran, P., and S. Sivathayalan. 2014. “A new hollow cylinder torsional shear device for stress/strain path controlled loading.” Geotech. Test. J. 37 (1): 20120202. https://doi.org/10.1520/GTJ20120202.
Miura, K., S. Miura, and S. Toki. 1986. “Deformation behavior of anisotropic dense sand under principal stress axes rotation.” Soils Found. 26 (1): 36–52. https://doi.org/10.3208/sandf1972.26.36.
Mulilis, J. P., K. Arulanandan, J. K. Mitchell, C. K. Chan, and H. B. Seed. 1977. “Effect of sample preparation on sand liquefaction.” J. Geotech. Eng. Div. 103 (GT2): 91–108.
NRC (National Research Council). 1985. Liquefaction of soils during earthquakes. Washington, DC: NRC, National Academy Press.
Oda, M., I. Koishikawa, and T. Higuchi. 1978. “Experimental study of anisotripic shear strength of sand by plane strain test.” Soils Found. 18 (1): 25–38. https://doi.org/10.3208/sandf1972.18.25.
Prasanna, R., N. Sinthujan, and S. Sivathayalan. 2018. “Effect of cyclic rotation of principal stresses on liquefaction resistance of sands.” In Proc., Geotechnical Earthquake Engineering and Soil Dynamics V: Liquefaction Triggering, Consequences, and Mitigation: Geotechnical Special Publication 290, 182–190. Reston, VA: ASCE.
Seed, H. B., I. M. Idriss, F. Makdisi, and N. Banerjee. 1975. Representation of irregular stress time histories by equivalent uniform stress series in liquefaction analysis. Berkeley, CA: Earthquake Engineering Research Center, College of Engineering, Univ. of California.
Seed, R. B., and L. F. Harder. 1990. “SPT-based analysis of cyclic pore pressure generation and undrained residual strength.” In Proc., H.B. Seed Memorial Symp. Edited by J. M. Duncan, 351–376. Berkeley, CA: Univ. of California Berkeley.
Sivathayalan, S. 2000. “Fabric, initial state and stress path effects on liquefaction susceptibility of sands.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of British Columbia.
Sivathayalan, S., and D. Ha. 2011. “Effect of static shear stress on the cyclic resistance of sands in simple shear loading.” Can. Geotech. J. 48 (10): 1471–1484. https://doi.org/10.1139/t11-056.
Sivathayalan, S., P. Logeswaran, and V. Manmatharajan. 2015. “Cyclic resistance of a loose sand subjected to rotation of principal stresses.” J. Geotech. Geoenviron. Eng. 141 (3): 04014113. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001250.
Sivathayalan, S., and Y. P. Vaid. 2002. “Influence of generalized initial state and principal stress rotation on the undrained response of sands.” Can. Geotech. J. 39 (1): 63–76. https://doi.org/10.1139/t01-078.
Symes, M. J., A. Gens, and D. W. Hight. 1984. “Undrained anisotropy and principal stress rotation in saturated sand.” Géotechnique 34 (1): 11–27. https://doi.org/10.1680/geot.1984.34.1.11.
Tong, Z.-X., J.-M. Zhang, Y.-L. Yu, and G. Zhang. 2010. “Drained deformation behavior of anisotropic sands during cyclic rotation of principal stress axes.” J. Geotech. Geoenviron. Eng. 136 (11): 1509–1518. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000378.
Uthayakumar, M., and Y. P. Vaid. 1998. “Static liquefaction of sands under multiaxial loading.” Can. Geotech. J. 35 (2): 273–283. https://doi.org/10.1139/t98-007.
Vaid, Y. P., and J. C. Chern. 1985. “Cyclic and monotonic undrained response of sands.” In Proc., Advances in the Art of Testing Soils under Cyclic Loading Conditions, edited by V. Khosla, 120–147. Reston, VA: ASCE.
Vaid, Y. P., A. Sayao, E. Hou, and D. Negussey. 1990. “Generalized stress-path-dependent soil behaviour with a new hollow cylinder torsional apparatus.” Can. Geotech. J. 27 (5): 601–616. https://doi.org/10.1139/t90-075.
Vaid, Y. P., and S. Sivathayalan. 1996. “Errors in estimates of void ratio of laboratory sand specimens.” Can. Geotech. J. 33 (6): 1017–1020. https://doi.org/10.1139/t96-128.
Vaid, Y. P., and S. Sivathayalan. 2000. “Fundamental factors affecting liquefaction susceptibility of sands.” Can. Geotech. J. 37 (3): 592–606. https://doi.org/10.1139/t00-040.
Vaid, Y. P., S. Sivathayalan, and D. Stedman. 1999. “Influence of specimen-reconstituting method on the undrained response of sand.” Geotech. Test. J. 22 (3): 187–195. https://doi.org/10.1520/GTJ11110J.
Vaid, Y. P., J. D. Stedman, and S. Sivathayalan. 2001. “Confining stress and static shear effects in cyclic liquefaction.” Can. Geotech. J. 38 (3): 580–591. https://doi.org/10.1139/t00-120.
Vaid, Y. P., and J. Thomas. 1995. “Liquefaction and postliquefaction behavior of sand.” J. Geotech. Eng. 121 (2): 163–173. https://doi.org/10.1061/(ASCE)0733-9410(1995)121:2(163).
Wijewickreme, D., and Y. P. Vaid. 2008. “Experimental observations on the response of loose sand under simultaneous increase in stress ratio and rotation of principal stresses.” Can. Geotech. J. 45 (5): 597–610. https://doi.org/10.1139/T08-001.
Yoshimine, M., K. Ishihara, and W. Vargas. 1998. “Effects of principal stress direction and intermediate principal stress on undrained shear behavior of sand.” Soils Found. 38 (3): 179–188. https://doi.org/10.3208/sandf.38.3_179.
Youd, T. L., et al. 2001. “Liquefaction resistance of soils: Summary report from the 1996 NCEER and workshops on evaluation of liquefaction resistance of soils.” J. Geotech. Geoenviron. Eng. 127 (10): 817–833. https://doi.org/10.1061/(ASCE)1090-0241(2001)127:10(817).
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©2019 American Society of Civil Engineers.
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Received: Mar 2, 2019
Accepted: Aug 7, 2019
Published online: Dec 24, 2019
Published in print: Mar 1, 2020
Discussion open until: May 24, 2020
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