›› 2009, Vol. 30 ›› Issue (S2): 97-101.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Multiple solutions in upper bound limit analysis of soil slopes

LI Liang, YU Guang-ming, CHU Xue-song, LU Shi-bao, HONG Yong   

  1. School of Civil Engineering, Qingdao Technological University,Qingdao 266033, China
  • Received:2009-08-17 Online:2009-08-10 Published:2011-06-21

Abstract:

The assumption of existence of total plastic zone is made in the upper bound limit analysis, i.e. there exists a sliding body satisfying yielding equation in slopes. However, the mobilized extent of inter-slice strength is taken as optimized variables in this paper; and multiple solutions can be obtained by using virtual work-energy equation. The solution which is the biggest among those multiple ones is used to assess the stability for given sliding body. Two soil slopes are analyzed using the proposed method; and the results are compared to those by general upper bound method. The effect of this assumption on the stability results is given.

Key words: limit analysis, soil slope stability, Pan’s principles, factor of safety

CLC Number: 

  • TU 441
[1] SUN Lai-bin, XIAO Shi-guo, . Evaluation method for elastic foundation coefficient of finite downslope soil against loading segment of stabilizing piles [J]. Rock and Soil Mechanics, 2020, 41(1): 278-284.
[2] LIU Shun-qing, HUANG Xian-wen, ZHOU Ai-zhao, CAI GUO-jun, JIANG Peng-ming, . A stability analysis method of soil-rock slope based on random block stone model [J]. Rock and Soil Mechanics, 2019, 40(S1): 350-358.
[3] YUAN Wei, LIU Shang-ge, NIE Qing-ke, WANG Wei, . An approach for determining the critical thickness of the karst cave roof at the bottom of socketed pile based on punch failure mode [J]. Rock and Soil Mechanics, 2019, 40(7): 2789-2798.
[4] CHEN Zheng, HE Ping, YAN Du-min, GAO Hong-jie, NIE Ao-xiang, . Upper-bound limit analysis of tunnel face stability under advanced support [J]. Rock and Soil Mechanics, 2019, 40(6): 2154-2162.
[5] WANG Zhen, CAO Lan-zhu, WANG Dong, . Evaluation on upper limit of heterogeneous slope stability [J]. Rock and Soil Mechanics, 2019, 40(2): 737-742.
[6] REN Jin-lan, CHEN Xi, WANG Dong-yong, LÜ Yan-nan. Instantaneous linearization strength reduction technique for generalized Hoek-Brown criterion [J]. Rock and Soil Mechanics, 2019, 40(12): 4865-4872.
[7] FENG Ling-yun, ZHU Bin, DAI Jia-lin, KONG De-qiong, . Modelling lateral pipe-soil interaction on soft clay using large displacement sequential limit analysis [J]. Rock and Soil Mechanics, 2019, 40(12): 4907-4915.
[8] LI Dian-qing, ZHOU Qiang, CAO Zi-jun, . Safety criteria for geotechnical design based on generalized reliability ratio of safety margin [J]. Rock and Soil Mechanics, 2019, 40(10): 3977-3986.
[9] LIU Feng-tao, ZHANG Shao-fa, DAI Bei-bing, ZHANG Cheng-bo, LIN Kai-rong, . Upper bound limit analysis of soil slopes based on rigid finite element method and second-order cone programming [J]. Rock and Soil Mechanics, 2019, 40(10): 4084-4091.
[10] GUO Hong-xian, ZHOU Ding. Discussion on stability of soil nailing in excavation in soft clay [J]. Rock and Soil Mechanics, 2018, 39(S2): 398-404.
[11] XU Peng, JIANG Guan-lu, QIU Jun-jie, LIN Zhan-zhan, WANG Zhi-meng,. Limit analysis on yield acceleration and failure model of reinforced soil retaining walls using two-wedge method [J]. , 2018, 39(8): 2765-2770.
[12] YIN Jun-fan, LEI Yong, CHEN Qiu-nan, LIU Yi-xin, DENG Jia-zheng,. Upper bound analysis of the punching shear failure of cave roof in karst area [J]. , 2018, 39(8): 2837-2843.
[13] XIAO Guo-feng, CHEN Cong-xing. Simulation of progressive failure process and stability analysis method for rock block [J]. , 2018, 39(8): 3001-3010.
[14] YAN Min-jia, XIA Yuan-you, LIU Ting-ting. Limit analysis of bedding rock slopes reinforced by prestressed anchor cables under seismic loads [J]. , 2018, 39(7): 2691-2698.
[15] CAO Wen-gui, TAN Jian-hui, HU Wei-dong, . Upper bound of ultimate bearing capacity for the reinforced grounds [J]. , 2018, 39(6): 1955-1962.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] TIAN Wei,DANG Fa-ning,DING Wei-hua,LIANG Xin-yu,CHEN Hou-qun. Development of a dynamic loading apparatus for CT experiment and its application[J]. , 2010, 31(1): 309 -313 .
[2] TAN Han-hua, FU He-lin. Testing study of application of time domain reflectometry to highway slope monitoring[J]. , 2010, 31(4): 1331 -1336 .
[3] YE Jun-neng. Dynamic response of track system-layered transversely isotropic saturated subgrade to train loads[J]. , 2010, 31(5): 1597 -1603 .
[4] WEI Xing,WANG Gang,YU Zhi-ling. FEM of traffic-load-induced settlement of road on soft clay[J]. , 2010, 31(6): 2011 -2015 .
[5] WEN Shi-yi, LI Jing , SU Xia , YAO Xiong. Studies of mesomechanical structure characters of surrounding rock failure under complex stress state[J]. , 2010, 31(8): 2399 -2406 .
[6] ZHANG Zhi-qiang, HE Ben-guo, HE Chuan. Study of load of lining under condition of saturated stratum for underwater tunnels[J]. , 2010, 31(8): 2465 -2470 .
[7] MAO Ning,ZHANG Yao-liang. Typical examples of simple methods to find empirical formulas[J]. , 2010, 31(9): 2978 -2982 .
[8] YU Tian-tang. Extended finite element method for modeling three-dimensional crack problems[J]. , 2010, 31(10): 3280 -3285 .
[9] LIU Jie,LI Jian-lin,QU Jian-jun,Cheng Xing,LI Jian-wu,LUO Shi-wei. Multiple factors analysis of influence of developing horizontal displacement at Dagangshan dam abutment slope based on unloading rock mass mechanics[J]. , 2010, 31(11): 3619 -3626 .
[10] LI Wei-hua, ZHAO Cheng-gang, DU Nan-xin. Analysis of effects of saturated soft interlayer on seismic responses of metro station[J]. , 2010, 31(12): 3958 -3963 .