Abstract
The stress–strain behavior under the stress path of constant deviatoric stress was important to evaluate the deformation of embankment dams and slopes due to the variation of water level. The triaxial tests of cyclic spherical stress with constant deviatoric stress were conducted on Fujian standard sand. Under the condition of the same consolidation deviatoric stress and the amplitude of cyclic spherical stress, the influence of cyclic consolidation spherical stress on the stress–strain relationships of saturated sand was preliminarily discussed. The test results indicated that the influence of consolidation spherical stress on the shear strain is much greater than that on the volumetric strain. Under the same consolidation deviatoric stress conditions, when the consolidation spherical stress pc enhances, the variation amplitude of volumetric strain significantly reduces. However, in the lnp–εv space, the volumetric strain curves of different consolidation spherical stress almost coincide with each other. After the same number of cycles, the accumulative volumetric strain under different consolidation spherical stress differs little. Under the same other stress conditions, the normalized spherical stress (p/pc) of different consolidation spherical stress is consistent with the volumetric strain. When the consolidation spherical stress pc is enhanced, under the same spherical stress increment, the increase in shear strain considerably reduces and the cumulative amount of shear strain considerably decreases. The enhancement in consolidation spherical stress inhibits the development of soil shear deformation. Under the condition of the same stress path length, the development of cumulative shear strain is closely related to the consolidation stress ratio.
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References
Al-rkaby AHJ, Chegenizadeh A, Nikraz HR (2017) Cyclic behaviour of reinforced sand under principal stress rotation. J Rock Mech Geotech Eng 9(04):15–28. https://doi.org/10.1016/j.jrmge.2017.03.010
Anderson SA, Sitar N (1995) Analysis of rainfall-induced debris flows. J Geotech Eng 122(7):544–552. https://doi.org/10.1061/(ASCE)0733-9410(1995)121:7(544)
Atkinson JH, Farrar DM (1985) Stress path tests to measure soil strength parameters for shallow landslips. Proceedings of the eleventh international conference on soil mechanics and foundation engineering, San Francisco, August Publication of: Balkema (AA), pp 12–16
Brand EW(1981) Some thoughts on rain-induced slope failure. In Proceedings of the 10th international conference on soil mechanics and foundation engineering. Balkema, Rotterdam, The Netherlands, 3: 373–376
Chen CL, Xie DY (2005) Testing study on deformation characteristics of saturated sand under repeated deviatoric stress. Chin J Rock Mech Eng 24(3):513–520. https://doi.org/10.3321/j.issn:1000-6915.2005.03.025(inChinese)
Chen Y, Wei S, Dave C (2015) Experiment study on deformation characteristics of slope deep soil under the cyclic loading and unloading action of reservoir water. J Hydraul Eng 46(5):612–618. https://doi.org/10.13243/j.cnki.slxb.20141080 (in Chinese)
Chen Y, Yang Y, Cao L (2017) Deformation characteristics simulation of bank slope saturated soils under spherical stress paths. Rock Soil Mech 38(3):672–684. https://doi.org/10.16285/j.rsm.2017.03.008 (in Chinese)
Cho W, Finno RJ (2010) Stress-strain responses of block samples of compressible Chicago glacial clays. J Geotech Geoenviron Eng 136(1):178–188. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000186
Imam R, Azizi A, Zandian R et al (2009) Behavior of sands in constant deviatoric stress loading. Prediction and Simulation Methods for Geohazard Mitigation
Junaideen SM, Tham LG, Law KT et al (2010) Behaviour of recompacted residual soils in a constant shear stress path. Can Geotech J 47(6):648–661. https://doi.org/10.1139/T09-129
Jung YH, Finno RJ, Cho W (2012) Stress–strain responses of reconstituted and natural compressible Chicago glacial clay. Eng Geol 129–130(1):9–19. https://doi.org/10.1016/j.enggeo.2012.01.003
Krim A, Arab A, Bouferra R et al (2016) Characteristics of cyclic shear behavior of sandy soils: a laboratory study. Arab J Sci Eng 41(10):3995–4005. https://doi.org/10.1007/s13369-016-2064-z
Kuwano R, Jardine RJ (2007) A triaxial investigation of kinematic yielding in sand. Géotechnique 57(7):563–579
Lashkari A, Khodadadi M, Binesh SM, Rahman MM (2019) Instability of particulate assemblies under constant shear drained stress path: a DEM approach. Int J Geomech 19(6):1–21. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001407
Ling HI, Wu MH, Leshchinsky D, Leshchinsky B (2009) Centrifuge modeling of slope instability. J Geotech Geoenviron Eng 135(6):758–767. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000024
Lourenço SDN, Wang GH, Chu J (2011) Aspects of sand behaviour by modified constant shear drained tests. Environ Earth Sci 62(4):865–870. https://doi.org/10.1007/s12665-010-0573-8
Matziaris V, Marshall AM, Yu HS (2015) Centrifuge Model Tests of Rainfall-Induced Landslides. Recent Advances in Modeling Landslides and Debris Flows, Springer International Publishing, pp 73–83
Perez JCL, Kwok CY, O’Sullivan C, Huang X, Hanley KJ (2016) Exploring the micro-mechanics of triaxial instability in granular materials. Geotechnique 66(9):725–740. https://doi.org/10.1680/jgeot.15.P.206
Rabbi AT, Rahman MM, Cameron DA (2019) Instability of natural silty sand under undrained and constant shear drained path: a critical state study. Int J Geomech 19(8):04019083
Sarkar K, Singh TN, Verma AK (2012) A numerical simulation of landslide-prone slope in Himalayan region—A case study. Arab J Geosci 5(1):73–81. https://doi.org/10.1007/s12517-010-0148-8
Sun L, Gu C, Wang P (2015) Effects of cyclic confining pressure on the deformation characteristics of natural soft clay. Soil Dyn Earthq Eng 78(9):99–109. https://doi.org/10.1016/j.soildyn.2015.07.010
Take WA, and Bolton M D (2004) Identification of seasonal slope behaviour mechanisms from centrifuge case studies. Proceedings of the Conference on Advances in Geotechnical Engineering. Thomas Telford, pp 992–1004
Tu X, Finno RJ (2007) Modeling shear and volumetric responses in stress probe tests. Geotechnical Special Publication 40(173):1–11
Yao YP (2015) Advanced UH models for soils. Chin J Geotech Eng 37(2):193–217. https://doi.org/10.11779/CJGE201502001 (in Chinese)
Yasufuku N, Murata H, Hyodo M (1991) Yield characteristics of anisotropically consolidated sand under low and high stresses. Soils Found 31(1):95–109. https://doi.org/10.1016/0148-9062(92)91130-W
Yu HS, Yang LT, Li X et al (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
Zhang YG, Zhu SY, Tan JK, Li LD, Yin XJ (2020) The influence of water level fluctuation on the stability of landslide in the three gorges reservoir. Arab J Geosci. https://doi.org/10.1007/s12517-020-05828-3
Zhao ZY, Deng G, Han YS et al (2020) Comparison of deformation behavior of saturated sand under constant and variable deviatoric stress. KSCE J Civ Eng 24(3):762–769. https://doi.org/10.1007/s12205-020-0976-3
Zhao ZY, Deng G, Wen YF et al (2017) Effects of initial relative density of sand on its deformation under cyclic spherical stress. J Hydroelectric Eng 36(3):71–77. https://doi.org/10.11660/slfdxb.20170309 (in Chinese)
Zhao ZY, Deng G, Zhou MJ et al (2018) Influence of the constant deviator stress on deformation characteristics of saturated sand under cyclic spherical stress. Arab J Sci Eng 43(10):5585–5596. https://doi.org/10.1007/s13369-018-3197-z
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The authors acknowledge the support of the National Natural Science Foundation of China (Grant 51908516), Natural Science Foundation of Shanxi Province (Grant 201901D211207), and Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant 2019L0547)
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Responsible Editor: Zeynal Abiddin Erguler
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Zhao, Z., Deng, G., Zhang, Z. et al. Influence of cyclic consolidation spherical stress on deformation behavior of saturated sand under constant deviatoric stress. Arab J Geosci 14, 2208 (2021). https://doi.org/10.1007/s12517-021-08602-1
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DOI: https://doi.org/10.1007/s12517-021-08602-1