Laboratory Analyses of Noncoaxiality and Anisotropy of Spherical Granular Media under True Triaxial State
Publication: International Journal of Geomechanics
Volume 23, Issue 9
Abstract
Anisotropy of the soil is responsible for its noncoaxial response. In simple shear and hollow cylindrical torsional shear tests, considerable noncoaxial responses were detected as a result of the stress-induced anisotropy caused by the rotation of the principal stress axis, while true triaxial tests on the noncoaxial and anisotropic response of perfectly spherical particles have seldom been reported. In consideration of the influence of the three principal stress orientations, true triaxial tests were conducted on uniformly sized spherical glass balls using the stress path of fixed-axis shear with constant values of p′ and b in the deviatoric plane. Samples with inherent anisotropy were prepared to study the evolution of noncoaxiality and anisotropy as a result of the loading process across the entire deviatoric plane. Test results indicate that the glass bead samples exhibit minor deformation and strength anisotropy in various sections of the deviatoric plane. The noncoaxial behaviors exhibit apparent orientation-dependent and b-dependent properties. This study would provide a valuable reference for granular materials with different shapes and gradations in nature that are subjected to true triaxial stress conditions.
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Acknowledgments
This research was funded by the National Natural Science Foundation of China (Grant Nos. 12162028 and 51669027), the project of Leading Talents of Science and Technology Innovation of Ningxia (Grant No. KJT2019001), and the Technology Innovation Team-Ningxia Hui Autonomous Region (Innovation Team-Multi-scale Mechanics and Engineering Applications). Their support is gratefully acknowledged.
References
Abelev, A. V., and P. V. Lade. 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. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:2(160).
Arthur, J. R. F., and B. K. Menzies. 1972. “Inherent anisotropy in a sand.” Géotechnique 22 (1): 115–128.
Cai, Y., H.-S. Yu, D. Wanatowski, and X. Li. 2013. “Noncoaxial behavior of sand under various stress paths.” J. Geotech. Geoenviron. Eng. 139 (8): 1381–1395. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000854.
Drescher, A., and G. de Josselin de Jong. 1972. “Photoelastic verification of a mechanical model for the flow of a granular material.” J. Mech. Phys. Solids 20 (5): 337–340. https://doi.org/10.1016/0022-5096(72)90029-4.
Drucker, D. C., and W. Prager. 1952. “Soil mechanics and plastic analysis or limit design.” Q. Appl. Math. 10 (2): 157–165. https://doi.org/10.1090/qam/1952-10-02.
Fu, P., and Y. F. Dafalias. 2011. “Fabric evolution within shear bands of granular materials and its relation to critical state theory.” Int. J. Numer. Anal. Methods Geomech. 35 (18): 1918–1948. https://doi.org/10.1002/nag.988.
Gutierrez, M., and K. Ishihara. 2000. “Non-coaxiality and energy dissipation in granular materials.” Soils Found. 40 (2): 49–59. https://doi.org/10.3208/sandf.40.2_49.
Gutierrez, M., K. Ishihara, and I. Towhata. 1991. “Flow theory for sand during rotation of principal stress direction.” Soils Found. 31 (4): 121–132. https://doi.org/10.3208/sandf1972.31.4_121.
Haruyama, M. 1981. “Anisotropic deformation-strength characteristics of an assembly of spherical particles under three dimensional stresses.” Soils Found. 21 (4): 41–55. https://doi.org/10.3208/sandf1972.21.4_41.
Huang, K., Q. Ma, D. Ma, and Z. Yao. 2022. “Strength and deformation properties of frozen sand under a true triaxial stress condition.” Soils Found. 62 (1): 101089. https://doi.org/10.1016/j.sandf.2021.10.006.
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.
Kallstenius, T. K. E., and W. Bergau. 1961. “Research on the texture of granular masses.” In Vol. 1 of Proc., 5th Int. Conf. on Soil Mechanics and Foundation Engineering, Soil Properties and their Measurement, 165–170. Paris: Dunod.
Lade, P. V., and A. V. Abelev. 2003. “Effects of cross anisotropy on three-dimensional behavior of sand. II: Volume change behavior and failure.” J. Eng. Mech. 129 (2): 167–174. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:2(167).
Lade, P. V., and J. M. Duncan. 1975. “Elastoplastic stress-strain theory for cohesionless soil.” J. Geotech. Eng. Div. 101 (10): 1037–1053. https://doi.org/10.1061/AJGEB6.0000204.
Lade, P. V., N. M. Rodriguez, and E. J. V. Dyck. 2014a. “Effects of principal stress directions on 3D failure conditions in cross-anisotropic sand.” J. Geotech. Geoenviron. Eng. 140 (2): 04013001. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001005.
Lade, P. V., E. Van Dyck, and N. M. Rodriguez. 2014b. “Shear banding in torsion shear tests on cross-anisotropic deposits of fine Nevada sand.” Soils Found. 54 (6): 1081–1093. https://doi.org/10.1016/j.sandf.2014.11.004.
Li, X., W. Lu, Z. Ma, and N. Tuo. 2021. “The undrained characteristics of Tengger desert sand from true triaxial testing.” Adv. Civ. Eng. 2021: e6320397.
Li, Y., Y. Yang, H.-S. Yu, and G. Roberts. 2018. “Principal stress rotation under bidirectional simple shear loadings.” KSCE J. Civ. Eng. 22 (5): 1651–1660. https://doi.org/10.1007/s12205-017-0822-4.
Liu, X., X. Zhang, L. Kong, R. An, and G. Xu. 2021. “Effect of inherent anisotropy on the strength of natural granite residual soil under generalized stress paths.” Acta Geotech. 16 (12): 3793–3812. https://doi.org/10.1007/s11440-021-01393-5.
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.
Nawir, H., B. Prasetyo, and A. Sahadewa. 2020. “Strength and deformation characteristics of reconstituted sand under different stress paths in true triaxial tests.” J. Eng. Technol. Sci. 52 (6): 907. https://doi.org/10.5614/j.eng.technol.sci.2020.52.6.
Nishimura, S., N. A. Minh, and R. J. Jardine. 2007. “Shear strength anisotropy of natural London clay.” Géotechnique 57 (1): 49–62.
Ochiai, H., and P. V. Lade. 1983. “Three-dimensional behavior of sand with anisotropic fabric.” J. Geotech. Eng. 109 (10): 1313–1328. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:10(1313).
Oda, M. 1972a. “Initial fabrics and their relations to mechanical properties of granular material.” Soils Found. 12 (1): 17–36. https://doi.org/10.3208/sandf1960.12.17.
Oda, M. 1972b. “The mechanism of fabric changes during compressional deformation of sand.” Soils Found. 12 (2): 1–18. https://doi.org/10.3208/sandf1972.12.1.
Oda, M., and J. Konishi. 1974. “Microscopic deformation mechanism of granular material in simple shear.” Soils Found. 14 (4): 25–38. https://doi.org/10.3208/sandf1972.14.4_25.
Oda, M., S. Nemat-Nasser, and J. Konishi. 1985. “Stress-induced anisotropy in granular masses.” Soils Found. 25 (3): 85–97. https://doi.org/10.3208/sandf1972.25.3_85.
O’Sullivan, C., J. D. Bray, and M. Riemer. 2004. “Examination of the response of regularly packed specimens of spherical particles using physical tests and discrete element simulations.” J. Eng. Mech. 130 (10): 1140–1150. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:10(1140).
Pan, J., J. Jiang, Z. Cheng, H. Xu, and Y. Zuo. 2020. “Large-scale true triaxial test on stress-strain and strength properties of rockfill.” Int. J. Geomech. 20 (1): 04019146. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001527.
Pradel, D., K. Ishihara, and M. Gutierrez. 1990. “Yielding and flow of sand under principal stress axes rotation.” Soils Found. 30 (1): 87–99. https://doi.org/10.3208/sandf1972.30.87.
Reid, D., R. Fanni, and A. Fourie. 2022. “Assessing the undrained strength cross-anisotropy of three tailings types.” Géotech. Lett. 12 (1): 1–24.
Rodriguez, N. M., and P. V. Lade. 2013. “True triaxial tests on cross-anisotropic deposits of fine Nevada sand.” Int. J. Geomech. 13 (6): 779–793. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000282.
Roscoe, K. H. 1970. “The influence of strains in soil mechanics.” Géotechnique 20 (2): 129–170.
Sazzad, M., and K. Suzuki. 2010. “Micromechanical behavior of granular materials with inherent anisotropy under cyclic loading using 2D DEM.” Granular Matter 12 (6): 597–605. https://doi.org/10.1007/s10035-010-0200-0.
Sun, D., W. Huang, and Y.-P. Yao. 2008. “An experimental study of failure and softening in sand under three-dimensional stress condition.” Granular Matter 10 (3): 187–195. https://doi.org/10.1007/s10035-008-0083-5.
Thornton, C. 1979. “The conditions for failure of a face-centered cubic array of uniform rigid spheres.” Géotechnique 29 (4): 441–459.
Tong, Z., P. Fu, Y. F. Dafalias, and Y. Yao. 2014. “Discrete element method analysis of non-coaxial flow under rotational shear.” Int. J. Numer. Anal. Methods Geomech. 38 (14): 1519–1540. https://doi.org/10.1002/nag.2290.
Wang, Q., and P. V. Lade. 2001. “Shear banding in true triaxial tests and its effect on failure in sand.” J. Eng. Mech. 127 (8): 754–761. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:8(754).
Yamada, Y., and K. Ishihara. 1979. “Anisotropic deformation characteristics of sand under three dimensional stress conditions.” Soils Found. 19 (2): 79–94. https://doi.org/10.3208/sandf1972.19.2_79.
Yang, L.-T., X. Li, H.-S. Yu, and D. Wanatowski. 2016. “A laboratory study of anisotropic geomaterials incorporating recent micromechanical understanding.” Acta Geotech. 11 (5): 1111–1129. https://doi.org/10.1007/s11440-015-0423-7.
Yang, Y., W. Fei, H.-S. Yu, J. Ooi, and M. Rotter. 2015. “Experimental study of anisotropy and non-coaxiality of granular solids.” Granular Matter 17 (2): 189–196. https://doi.org/10.1007/s10035-015-0551-7.
Yang, Y., and H. S. Yu. 2006. “Application of a non-coaxial soil model in shallow foundations.” Geomech. Geoeng. 1 (2): 139–150. https://doi.org/10.1080/17486020600777101.
Yang, Z. X., X. S. Li, and J. Yang. 2007. “Undrained anisotropy and rotational shear in granular soil.” Géotechnique 57 (4): 371–384.
Yu, H.-S., L.-T. Yang, X. Li, and D. Wanatowski. 2016. “Experimental investigation on the deformation characteristics of granular materials under drained rotational shear.” Geomech. Geoeng. 11 (1): 47–63. https://doi.org/10.1080/17486025.2015.1006267.
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© 2023 American Society of Civil Engineers.
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Received: Aug 11, 2022
Accepted: Apr 3, 2023
Published online: Jul 5, 2023
Published in print: Sep 1, 2023
Discussion open until: Dec 5, 2023
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