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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

邮发代号 80-968

2019 Impact Factor: 1.68

Frontiers of Structural and Civil Engineering  2023, Vol. 17 Issue (11): 1760-1775   https://doi.org/10.1007/s11709-023-0018-6
  本期目录
Reliability analysis of excavated slopes in undrained clay
Shuang SHU, Bin GE, Yongxin WU, Fei ZHANG()
Key Laboratory of the Ministry of Education for Geomechanics and Embankment Engineering, College of Civil and Transportation Engineering, Hohai University, Nanjing 210098, China
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Abstract

A novel approach based on the upper bound theory is proposed to assess the stability of excavated slopes with spatially variable clay in undrained conditions. The proposed random limit analysis is a combination of the deterministic slope stability limit analysis together with random field theory and Monte Carlo simulation. A series of analyses is conducted to verify the potential application of the proposed method and to investigate the effects of the soil undrained shear strength gradient and the spatial correlation length on slope stability. Three groups of potential sliding surfaces are identified and the occurrence probability of each sort of failure mechanism is quantified for various slope ratios. The proposed method is found to be feasible for evaluating slope reliability. The obtained results are helpful in understanding the slope failure mechanism from a quantitative point of view. The paper could provide guidance for slope targeted local reinforcement.

Key wordsslope stability    spatial variability    limit analysis    random field    clay
收稿日期: 2022-10-10      出版日期: 2024-01-24
Corresponding Author(s): Fei ZHANG   
 引用本文:   
. [J]. Frontiers of Structural and Civil Engineering, 2023, 17(11): 1760-1775.
Shuang SHU, Bin GE, Yongxin WU, Fei ZHANG. Reliability analysis of excavated slopes in undrained clay. Front. Struct. Civ. Eng., 2023, 17(11): 1760-1775.
 链接本文:  
https://academic.hep.com.cn/fsce/CN/10.1007/s11709-023-0018-6
https://academic.hep.com.cn/fsce/CN/Y2023/V17/I11/1760
Fig.1  
Fig.2  
Fig.3  
Fig.4  
Fig.5  
Fig.6  
Fig.7  
Fig.8  
l (m)k (kPa/m)Rs = 1:1Rs = 1:2Rs = 1:3l (m)k (kPa/m)Rs = 1:1Rs = 1:2Rs = 1:3
μ LσLμ LσLμ LσLμ LσLμ LσLμ LσL
50.013.56.314.65.914.75.9250.014.06.915.36.514.46.1
0.511.95.513.45.713.95.70.512.46.414.06.314.16.1
1.011.25.012.45.413.35.71.011.25.613.16.113.55.9
1.510.64.712.05.112.85.61.510.55.212.45.813.15.9
2.09.94.211.44.912.55.42.010.25.011.85.612.85.8
2.59.84.111.24.912.25.32.59.74.511.65.612.55.7
3.09.84.010.94.711.95.23.09.64.411.25.212.25.7
100.014.37.114.86.814.46.6300.014.46.915.06.214.56.2
0.512.76.213.86.213.86.40.512.86.513.96.214.16.1
1.011.45.612.96.013.36.21.011.75.813.26.113.56.0
1.510.65.012.25.812.86.01.511.05.312.45.813.05.7
2.010.54.911.75.612.55.92.010.24.711.95.512.75.6
2.510.14.611.35.312.25.82.59.94.511.45.112.35.6
3.09.84.311.05.111.95.53.09.64.011.15.112.15.3
150.013.96.915.26.614.86.5350.014.27.015.56.414.65.9
0.512.86.614.26.614.16.50.512.56.514.36.413.85.9
1.011.96.113.36.613.86.51.011.15.813.16.113.45.9
1.511.15.712.66.313.46.51.510.45.312.46.012.85.8
2.010.65.212.05.912.96.22.09.84.711.85.712.65.7
2.510.34.811.65.612.66.02.59.54.511.45.512.25.5
3.09.94.611.45.512.25.83.09.24.011.05.212.05.5
200.014.46.815.26.614.86.3400.014.36.715.35.914.65.6
0.513.06.614.36.414.36.30.512.86.414.05.914.15.5
1.011.86.013.46.213.86.21.011.35.513.15.813.65.5
1.511.05.512.86.113.36.01.510.44.812.45.613.05.3
2.010.55.112.35.812.95.92.09.84.411.95.312.65.3
2.510.14.711.85.712.65.92.59.54.011.45.112.45.3
3.09.84.411.45.412.45.73.09.23.611.04.912.15.2
Tab.1  
k (kPa/m)l (m)
Rs = 1:1Rs = 1:2Rs = 1:3
0.020.717.715.1
0.58.416.314.9
1.08.312.114.7
1.58.210.813.0
2.08.19.712.2
2.57.99.011.0
3.07.89.010.3
Tab.2  
Fig.9  
Fig.10  
l (m)k (kPa/m)Rs = 1:1Rs = 1:2Rs = 1:3
TCDTCDCTCDTCDCTCDTCDC
50.03.29.787.105.994.102.797.3
0.56.013.180.9012.887.206.993.1
1.09.417.573.1019.880.2010.689.4
1.511.420.468.2026.074.0016.583.5
2.015.629.055.4032.567.5021.278.8
2.512.626.061.4038.062.0025.874.2
3.015.827.157.1042.357.7030.369.7
100.02.810.486.807.292.803.596.5
0.56.016.078.0014.385.709.990.1
1.09.520.769.8022.977.1016.084.0
1.512.823.663.6028.072.0020.979.1
2.015.024.061.0036.163.9026.473.6
2.517.027.955.1044.655.4032.068.0
3.019.130.650.3046.253.8035.065.0
150.04.413.182.508.092.003.796.3
0.57.618.474.0015.584.5010.090.0
1.010.323.766.0023.776.3016.683.4
1.514.727.058.3030.769.2022.977.1
2.017.428.054.6037.562.4030.769.3
2.520.329.949.8042.557.5034.165.9
3.023.130.846.1048.151.9038.062.0
200.03.611.884.605.894.204.395.7
0.56.219.174.7012.587.509.390.7
1.09.325.964.8020.779.3013.686.4
1.512.828.358.9029.071.0019.380.7
2.017.730.352.0034.565.5026.074.0
2.522.532.844.7039.460.6031.268.8
3.025.033.241.8046.153.9035.464.6
250.02.415.781.907.892.204.295.8
0.57.323.069.7016.084.008.991.1
1.010.731.058.3023.276.8015.584.5
1.514.531.953.6030.769.3022.777.3
2.018.533.947.6037.362.7028.671.4
2.522.436.740.9044.655.4032.667.4
3.025.834.439.8048.851.2037.662.4
300.02.415.682.007.792.303.696.4
0.54.723.871.5015.884.208.691.4
1.09.730.959.4023.576.5015.184.9
1.513.332.953.8031.668.4022.377.7
2.017.935.047.1039.360.7027.472.6
2.522.035.842.2043.156.9033.766.3
3.025.539.035.5047.053.0039.160.9
350.02.815.182.107.692.403.696.4
0.55.525.768.8015.684.407.992.1
1.09.531.459.1023.276.8014.885.2
1.512.839.248.0031.868.2022.277.8
2.017.941.540.6039.160.9027.672.4
2.521.743.235.1045.454.6032.567.5
3.026.942.230.9049.250.8038.461.6
400.02.214.982.906.993.103.097.0
0.55.124.270.7014.685.407.692.4
1.09.231.859.0023.576.5014.385.7
1.512.239.748.1031.168.9021.178.9
2.016.943.239.9037.462.6027.472.6
2.521.343.435.3044.355.7033.366.7
3.025.645.029.4048.351.7037.362.7
Tab.3  
Fig.11  
Fig.12  
Fig.13  
Fig.14  
lx (m)k (kPa/m)Rs = 1:1Rs = 1:2Rs = 1:3
TCDTCDCTCDTCDCTCDTCDC
10005.594.5010.090.08.818.672.6
1013.586.5018.381.414.327.657.7
15006.393.7011.288.89.319.771.0
1013.686.4021.478.215.127.257.7
20005.894.209.091.09.115.975.0
1014.413.6022.078.015.226.858.0
25006.193.908.891.27.716.975.4
1013.686.4018.781.314.227.158.7
30005.994.109.490.67.515.776.8
1015.085.0018.281.812.925.961.2
35005.994.1010.189.96.215.778.1
1014.385.7020.079.512.024.263.8
40005.894.2010.289.86.917.675.5
1014.485.6019.480.612.426.061.6
Tab.4  
Fig.15  
Fig.16  
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