Limit analysis of slope stability supported by framed prestressed anchor rods

ZHU Yan-peng; HOU Xi-nan; MA Xiang-xiang; YANG Kui-bin

doi:10.11779/CJGE2021S1002

Volume 43 Issue S1

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Chinese Journal of Geotechnical Engineering > 2021 > 43(S1): 7-12. > DOI: 10.11779/CJGE2021S1002

ZHU Yan-peng, HOU Xi-nan, MA Xiang-xiang, YANG Kui-bin. Limit analysis of slope stability supported by framed prestressed anchor rods[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(S1): 7-12. DOI: 10.11779/CJGE2021S1002

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Limit analysis of slope stability supported by framed prestressed anchor rods

1.
College of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2.
Western Center of Disaster Mitigation in Civil Engineering, Ministry of Education, Lanzhou University of Technology, Lanzhou 730050, China

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Received Date: December 14, 2020
Available Online: December 05, 2022

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Abstract

Abstract

Framed prestressed anchor rods are widely used in slope engineering.Considering the influences of supporting structures and anchor rods on the stability of soil slopes, the basic principles of the upper limit theory are analyzed, and the formula for calculating the safety factor of supported slope is deduced on the basis of plastic mechanics limit.The algorithm based on Matlab language is adopted to search the global optimal solution.Finally, according to the orthogonal design method, the influences of the internal factors such as slope angle, slope height and soil properties on the stability of prestressed anchor supported slope are discussed.It is concluded that the slope angle has the greatest influences on the stability of the prestressed anchor supported slope, following by the internal friction angle and slope hight, cohesion force, design value of thrust of supporting structures for the slope and soil weight, and the slope height, internal friction angle and slope angle have significant influences on its stability.
- slope engineering,
- framed prestressed rod,
- stability,
- limit analysis

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References

[1]	周勇, 朱彦鹏. 框架预应力锚杆边坡支护结构的稳定性分析方法及其应用[J]. 工程地质学报, 2008, 16(3): 89-95. https://www.cnki.com.cn/Article/CJFDTOTAL-GCDZ200803016.htm ZHOU Yong, ZHU Yan-peng. Stability analysis method for prestressed anchor and grillage supporting structures and its application[J]. Journal of Engineering Geology, 2008, 16(3): 89-95. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GCDZ200803016.htm
[2]	李忠, 朱彦鹏. 框架预应力锚杆边坡支护结构稳定性计算方法及其应用[J]. 岩石力学与工程学报, 2005, 24(21): 3922-3926. doi: 10.3321/j.issn:1000-6915.2005.21.018 LI Zhong, ZHU Yan-peng, Stability calculation methodsforgrillagesupportingstructurewith prestressed anchor and its application[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(21): 3922-3926. (in Chinese) doi: 10.3321/j.issn:1000-6915.2005.21.018
[3]	龚晓南. 土塑性力学[M]. 杭州: 浙江大学出版社, 1990. GONG Xiao-nan. Soil Plastic Mechanics[M]. Hangzhou: Zhejiang University Press, 1990. (in Chinese)
[4]	董倩, 刘东燕. 均质边坡稳定分析的上限解探讨[J]. 公路交通科技, 2007, 24(6): 8-11. doi: 10.3969/j.issn.1002-0268.2007.06.002 DONG Qian, LIU Dong-yan. Discussionontheupper-boundsolutionof homogeneous soil slope stability[J]. Journal of Highway and Transportation Research and Development, 2007, 24(6): 8-11. (in Chinese) doi: 10.3969/j.issn.1002-0268.2007.06.002
[5]	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. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201006004.htm FANG Wei, YANG Guo-lin, LIU Xiao-hong, et al. The upper-bound limit analysis of the inhomogeneous slope stability[J]. China Railway Science, 2010, 31(6): 14-20. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201006004.htm
[6]	周强. 利用上限定理的二级边坡地震稳定性研究[J]. 公路工程, 2013, 38(2): 174-176. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL201302044.htm ZHOU Qiang. Slope with multi-step stability under earthquake forces based on limit analysis[J]. Highway Engineering, 2008, 38(2): 174-176. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL201302044.htm
[7]	李新坡, 何思明, 徐骏, 等. 预应力锚索加固土质边坡的稳定性极限分析[J]. 四川大学学报(工程科学版), 2006, 38(5): 82-85. https://www.cnki.com.cn/Article/CJFDTOTAL-SCLH200605012.htm LI Xin-po, HE Si-ming, XU Jun, et al. Stability analysis of slopes reinforced with pre-tensioned cables by limit analysis method[J]. Journal of Sichuan University(Engineering Science Edition), 2006, 38(5): 82-85. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-SCLH200605012.htm
[8]	王根龙, 伍法权, 祁生文, 等. 加锚岩质边坡稳定性评价的极限分析上限法研究[J]. 岩石力学与工程学报, 2007, 26(12): 2556-2563. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200712025.htm WANG Gen-long, WU Fa-quan, QI Sheng-wen, et al. Research on limit analysis upper bound method for stability evaluation of anchored rock slop[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(12): 2556-2563. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200712025.htm
[9]	BISHOP A W. The use of the slip circle in the stability analysis of slopes[J]. Géotechnique, 1955, 5(1): 7-17.
[10]	ZIENKIEWICZ O C, HUMPHESON C, LEWIS R W. Associated and non-associated visco-plasticity and plasticity in soil mechanics[J]. Géotechnique, 1975, 25(4): 671-689.
[11]	DUNCAN J M. State of the art: limit equilibrium and finite element analysis of slopes[J]. Journal of Geotechnical Engineering, 1996, 122(7): 577-596.
[12]	郑颖人, 陈祖煜, 王恭先, 等. 边坡与滑坡工程治理[M]. 北京: 人民交通出版社, 2007. ZHENG Ying-ren, CHEN Zu-yu, WANG Gong-xian, et al. Slope and Landslide Engineering Treatment[M]. Beijing: China Communications Press, 2007. (in Chinese)
[13]	SOUBRA A H, MACUH B. Active and passive earth pressure coefficients by a kinematical approach[J]. Geotechnical Engineering, 2002, 155(2): 119-131.
[14]	CHEN W F. Limit Analysis and Soil Plasticity[M]. New York: Elsevier Scientific Publishing Co, 1975.
[15]	陈祖煜. 土力学经典问题的极限分析上、下限解[J]. 岩土工程学报, 2002, 24(1): 1-11. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200201000.htm CHEN Zu-yu. Limit analysis for the classic problems of soil mechanics[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(1): 1-11. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200201000.htm
[16]	杨昕光, 周密, 张伟, 等. 基于二阶锥规划的边坡稳定上限有限元分析[J]. 长江科学院院报, 2016, 33(12): 61-67. https://www.cnki.com.cn/Article/CJFDTOTAL-CJKB201612013.htm YANG Xin-guang, ZHOU Mi, ZHANG Wei, et al. Upper bound finite element analysis of slope stability using second-order cone programming[J]. Journal of Yangtze River Scientific Research Institute, 2016, 33(12): 61-67. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CJKB201612013.htm
[17]	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. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201302020.htm ZHAO Lian-heng, 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) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201302020.htm
[18]	夏世友, 张电吉, 夏亮, 等. 有限差分强度折减法求解边坡安全系数[J]. 武汉工程大学学报, 2012, 34(4): 19-21, 26. https://www.cnki.com.cn/Article/CJFDTOTAL-WHHG201204006.htm XIA Shi-you, ZHANG Dian-ji, XIA Liang, et al. Strength reduction finite difference method for solving safety factor of slope[J]. Journal of Wuhan Institute of Technology, 2012, 34(4): 19-21, 26. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-WHHG201204006.htm
[19]	LUAN Mao-tian, WU Ya-jun, NIAN Ting-kai. A criterion for evaluating slope stability based on development of plastic zone by shear strength reduction FEM[J]. Journal of Seismology, 2003, 23(3): 1-8.