3D effects on static and dynamic stability of convex curved slopes

ZHANG Fei; LIN Li-yao; SHU Shuang; YANG Shang-chuan; GAO Yu-feng

doi:10.11779/CJGE202208022

Volume 44 Issue 8

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Chinese Journal of Geotechnical Engineering > 2022 > 44(8): 1558-1566. > DOI: 10.11779/CJGE202208022

ZHANG Fei, LIN Li-yao, SHU Shuang, YANG Shang-chuan, GAO Yu-feng. 3D effects on static and dynamic stability of convex curved slopes[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(8): 1558-1566. DOI: 10.11779/CJGE202208022

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3D effects on static and dynamic stability of convex curved slopes

ZHANG Fei^{1, 2,},
LIN Li-yao^{1, 2},
SHU Shuang^{1, 2},
YANG Shang-chuan³,
GAO Yu-feng^{1, 2, ,}

1.
Key Laboratory of the Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210024, China
2.
Jiangsu Research Center for Geotechnical Engineering Technology, Hohai University, Nanjing 210024, China
3.
Key Laboratory of High-Speed Railway Engineering of the Ministry of Education, Southwest Jiaotong University, Chengdu 610031, China

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Received Date: September 02, 2021
Available Online: September 22, 2022

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Abstract

Abstract

There are numerous curved slopes adjacent to mountainous terrain. Their failures have significant three-dimensional (3D) characteristics. The raditional analyses of slope stability are based on two-dimensional plane-strain conditions and cannot involve the 3D effects. In this study, 3D stability analysis of curved slopes is carried out based on the limit equilibrium method of variational theory. The pseudo-static method is used to assess the 3D stability of the curved slopes subjected to the earthquakes. The critical slip surfaces are also determined by the optimization procedure. The results are compared with those calculated by other methods, indicating that the proposed method can obtain more critical solutions on the 3D stability of curved slopes. The geometrical parameters of the slopes (e.g., curving angle, curving radius, slope angle) and the horizontal seismic acceleration coefficients are considered to investigate the influences of the 3D effects on the slope stability. The results demonstrate that the 3D effects can be completely provided for a slope with a small curving angle to increase the safety of the slope, and reducing the curving radius can significantly enhance the 3D effects and enlarge the depth of the critical slip surface, whereas it is not pronounced for the slopes with large angles and horizontal seismic acceleration. In this situation, the traditional plane strain analysis can be adopted neglecting the 3D effects.
- slope,
- three-dimensional analysis,
- limit equilibrium,
- spatial effect,
- pseudo-static method

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References (20)

References

[1]	王家臣, 杜竞中. 水平凸型边坡破坏分析[J]. 中国矿业大学学报, 1992, 21(2): 102–108. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD199202013.htm WANG Jia-chen, DU Jing-zhong. The failure analysis of horizontal convex earth slopes[J]. Journal of China University of Mining & Technology, 1992, 21(2): 102–108. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGKD199202013.htm
[2]	CHENG Y M, LIU H T, WEI W B, et al. Location of critical three-dimensional non-spherical failure surface by NURBS functions and ellipsoid with applications to highway slopes[J]. Computers and Geotechnics, 2005, 32(6): 387–399. doi: 10.1016/j.compgeo.2005.07.004
[3]	李列列. 三维外凸边坡稳定性分析方法研究及数值模拟[D]. 长沙: 中南大学, 2011. LI Lie-lie. 3D Stability Analysis and Numerical Simulation of Convex Curve Slopes[D]. Changsha: Central South University, 2011. (in Chinese)
[4]	卢坤林, 朱大勇. 坡面形态对边坡稳定性影响的理论与试验研究[J]. 岩石力学与工程学报, 2014, 33(1): 35–42. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201401004.htm LU Kun-lin, ZHU Da-yong. Theoretical and experimental study of effect of slope topography on its stability[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(1): 35–42. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201401004.htm
[5]	FARZANEH O, ASKARI F, GANJIAN N. Three-dimensional stability analysis of convex slopes in plan view[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2008, 134(8): 1192–1200. doi: 10.1061/(ASCE)1090-0241(2008)134:8(1192)
[6]	赵衡, 宋二祥. 圆形凸坡的稳定性分析[J]. 岩土工程学报, 2011, 33(5): 730–737. http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/abstract/abstract14002.shtml ZHAO Heng, SONG Er-xiang. Stability analysis of circular convex slopes[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(5): 730–737. (in Chinese) http://manu31.magtech.com.cn/Jwk_ytgcxb/CN/abstract/abstract14002.shtml
[7]	黄治文. 地震作用下凹凸坡的稳定性分析[D]. 重庆: 重庆大学, 2016. HUANG Zhi-wen. The Stability of Concave and Convex Slope under Seismic Excitations[D]. Chongqing: Chongqing University, 2016. (in Chinese)
[8]	ZHANG Y B, CHEN G Q, ZHENG L, et al. Effects of geometries on three-dimensional slope stability[J]. Canadian Geotechnical Journal, 2013, 50(3): 233–249. doi: 10.1139/cgj-2012-0279
[9]	SUN C W, CHAI J R, XU Z G, et al. 3D stability charts for convex and concave slopes in plan view with homogeneous soil based on the strength-reduction method[J]. International Journal of Geomechanics, 2017, 17(5): 06016034. doi: 10.1061/(ASCE)GM.1943-5622.0000809
[10]	NIAN T K, HUANG R Q, WAN S S, et al. Three-dimensional strength-reduction finite element analysis of slopes: geometric effects[J]. Canadian Geotechnical Journal, 2012, 49(5): 574–588. doi: 10.1139/t2012-014
[11]	GIGER M W, KRIZEK R J. Stability analysis of vertical cut with variable corner angle[J]. Soils and Foundations, 1975, 15(2): 63–71. doi: 10.3208/sandf1972.15.2_63
[12]	LESHCHINSKY D, BAKER R, SILVER M L. Three dimensional analysis of slope stability[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1985, 9(3): 199–223. doi: 10.1002/nag.1610090302
[13]	ZHANG F, LESHCHINSKY D, BAKER R, et al. Implications of variationally derived 3D failure mechanism[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2016, 40(18): 2514–2531. doi: 10.1002/nag.2543
[14]	ZHANG F, LESHCHINSKY D, GAO Y F, et al. Three-dimensional slope stability analysis of convex turning corners[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2018, 144(6): 06018003. doi: 10.1061/(ASCE)GT.1943-5606.0001896
[15]	LESHCHINSKY D, MULLET T. Stability of vertical corner cuts[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1988, 114(3): 337–344. doi: 10.1061/(ASCE)0733-9410(1988)114:3(337)
[16]	BAKER R, LESHCHINSKY D. Stability analysis of conical heaps[J]. Soils and Foundations, 1987, 27(4): 99–110. doi: 10.3208/sandf1972.27.4_99
[17]	ZHANG X. Three-dimensional stability analysis of concave slopes in plan view[J]. Journal of Geotechnical Engineering, 1988, 114(6): 658–671. doi: 10.1061/(ASCE)0733-9410(1988)114:6(658)
[18]	LESHCHINSKY D, BAKER R. Three-dimensional slope stability: end effects[J]. Soils and Foundations, 1986, 26(4): 98–110. doi: 10.3208/sandf1972.26.4_98
[19]	TAYLOR D W. Stability of earth slopes[J]. Journal of Boston Society of Civil Engineering, 1937, 24(3): 197–246.
[20]	LESHCHINSKY D, HUANG C C. Generalized three-dimensional slope-stability analysis[J]. Journal of Geotechnical Engineering, 1992, 118(11): 1748–1764. doi: 10.1061/(ASCE)0733-9410(1992)118:11(1748)