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| Seismic stability limit analysis of reinforced soil slopes with prestressed cables considering inhomogeneity and anisotropy of multiple parameters |
| XIA Yuanyou,CHEN Chunshu |
(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan,Hubei 430070,China)
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Abstract A limit analysis based on the horizontal slice method was proposed for the seismic stability of soil slopes reinforced with prestressed cables considering the inhomogeneity and anisotropy of multiple parameters. In this method,the sliding soil mass was divided into several horizontal slices,and the soil inside each slice was treated as a homogeneous part. The energy power of each horizontal slice was calculated based on the partitioning method and was substituted into the energy equation. According to the geometrical relationship among the polar angles of the slices,two polar angles were chosen to be the optimization variables in the computational program based on genetic algorithm theory. This method was applied in a case study,where the inhomogeneity was simplified as the linear distribution along depth. The reliability of this method was verified,and the influence of the parameters concerning the inhomogeneity and anisotropy on the seismic stability were analyzed. The results of analysis indicated that the yield acceleration factor of the slope is not sensitive to the inhomogeneity of cohesive force,it is therefore feasible to use the average value of cohesive force. The inhomogeneity of internal friction angle and unit weight have remarkable effects on the yield acceleration factor. The anisotropy coefficient influences greatly the yield acceleration factor.
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[1] DRUCKER D C,PRAGER W,GREENBERG H J. Extended limit design theorems for continuous media[J]. Quarterly Applied Mathematics,1952,(9):381–389.
[2] CHEN W F. Limit analysis and soil plasticity[M]. Amsterdam: Elsevier Science,1975:638.
[3] CHEN W F,LIU X L. Limit analysis in soil mechanics[M]. Amsterdam:Elsevier,1990:492.
[4] CHEN W F,GIGER M W,FANG H Y. On the limit analysis of stability of slopes[J]. Soil and Foundations,1969,9(4):23–32.
[5] MICHALOWSKI R L. Stability of uniformly reinforced slopes[J]. Journal of Geotechnical and Geoenvironmental Engineering,1997,123(6):546–556.
[6] AUSILIO E,CONTE E,DENTE G. Stability analysis of slopes reinforced with piles[J]. Computers and Geotechnics,2001,28(8):591–611.
[7] LI X,HE S,WU Y. Seismic displacement of slopes reinforced with piles[J]. Journal of Geotechnical and Geoenvironmental Engineering,2010,136(6):880–884.
[8] MICHALOWSKI R L,YOU L. Displacements of reinforced slopes subjected to seismic loads[J]. Journal of Geotechnical and Geoenvironmental Engineering,2014,126(8):685–694.
[9] 王根龙,伍法权,张军慧. 非均质土坡稳定性分析评价的刚体单元上限法[J]. 岩石力学与工程学报,2008,27(增2):3 425–3 430. (WANG Genlong,WU Faquan,ZHANG Junhui. Upper bound approach of rigid elements for inhomogeneous soil slope stability analysis[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.2):3 425–3 430.(in Chinese))
[10] 年廷凯,刘 凯,黄润秋,等. 多阶多层复杂边坡稳定性的通用上限方法[J]. 岩土力学,2016,37(3):842–849.(NIAN Tingkai,LIU Kai,HUANG Runqiu,et al. A generalized upper-bound limit analysis approach for stability analysis of complex multistep and multilayer slopes[J]. Rock and Soil Mechanics,2016,37(3):842–849.(in Chinese))
[11] 范鑫萍,黄茂松,王浩然. 考虑龄期分层的固体废弃物填埋场边坡稳定分析[J]. 岩土力学,2016,37(6):1 715–1 720.(FAN Xinping,HUANG Maosong,WANG Haoran. Stability analysis of a municipal solid waste slope layered by aging[J]. Rock and Soil Mechanics,2016,37(6):1 715–1 720.(in Chinese))
[12] 方 薇,杨果林,刘晓红,等. 非均质边坡稳定性极限分析上限法[J]. 中国铁道科学,2010,31(6):14–20.(FANG Wei,YANG Guolin,LIU Xiaohong,et al. The upper-bound limit analysis of the inhomogeneous slope stability[J]. China Railway Science,2010,31(6):14–20.(in Chinese))
[13] HWANG J,DEWOOLKAR M,KO H Y. Stability analysis of two-dimensional excavated slopes considering strength anisotropy[J]. Canadian Geotechnical Journal,2002,39(5):1 026–1 038.
[14] CHEN W F,SAWADA T. Earthquake-induced slope failure in nonhomogeneous,anisotropic soils[J]. Soils and Foundations,1983,23(2):125–139.
[15] 栾茂田,年廷凯,杨 庆. 考虑非均质各向异性效应的阻滑桩加固土坡稳定性分析[J]. 岩土力学,2006,27(4):530–536.(LUAN Maotian,NIAN Tingkai,YANG Qing. Stability analysis of pile- stabilized slopes considering both nonhomogeneity and anisotropy of soil strength using upper bound method of limit analysis[J]. Rock and Soil Mechanics,2006,27(4):530–536.(in Chinese))
[16] AL-KARNI A A,AL-SHAMRANI M A. Study of the effect of soil anisotropy on slope stability using method of slices[J]. Computers and Geotechnics,2000,26(2):83–103.
[17] 范明桥,盛金保. 土强度指标?,c的互相关性[J]. 岩土工程学报,1997,19(4):100–104.(FAN Mingqiao,SHENG Jinbao. The cross correlation between soil strength parameters ?,c[J]. Chinese Journal of Geotechnical Engineering,1997,19(4):100–104.(in Chinese))
[18] 夏元友,陈春舒. 考虑内部摩擦变形耗能的预应力锚索边坡极限分析[J]. 岩土工程学报,2017,39(2):210–217.(XIA Yuanyou,CHEN Chunshu. Limit analysis of reinforced slopes with prestressed anchor cables considering energy dissipation due to deformation of inner friction[J]. Chinese Journal of Geotechnical Engineering,2017,39(2):210–217.(in Chinese))
[19] 赵炼恒,罗 强,李 亮,等. 基于失稳状态耗能最小原理的预应力锚索加固边坡稳定性上限解析[J]. 岩土力学,2013,34(2):426–432.(ZHAO Lianheng,LUO Qiang,LI Liang,et al. Energy analysis method for slopes reinforcing with prestressed anchor cables based on minimum energy principle of instability state[J]. Rock and Soil Mechanics,2013,34(2):426–432.(in Chinese))
[20] CHANG C J,CHEN W F,YAO J T P. Seismic displacements in slopes by limit analysis[J]. Journal of Geotechnical Engineering,2014,110(7):860–874.
[21] 陈春舒,夏元友. 基于极限分析的边坡实时动态Newmark滑块位移法[J]. 岩石力学与工程学报,2016,35(12):2 507–2 515.(CHEN Chunshu,XIA Yuanyou. A real-time dynamic Newmark sliding block method for slopes based on limit analysis[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(12):2 507–2 515.(in Chinese)) |
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