Volume 42 Issue 12
Dec.  2021
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Article Contents
ZHANG Jingwu, ZHANG Haiyang, LI Mingdong, GUAN Zhongmin. Upper Bound Analysis on the Stability of Cracked Slopes at Tunnel Entrance Subjected to Pore Water Pressure[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1287-1295. doi: 10.21656/1000-0887.420054
 Citation: ZHANG Jingwu, ZHANG Haiyang, LI Mingdong, GUAN Zhongmin. Upper Bound Analysis on the Stability of Cracked Slopes at Tunnel Entrance Subjected to Pore Water Pressure[J]. Applied Mathematics and Mechanics, 2021, 42(12): 1287-1295.

# Upper Bound Analysis on the Stability of Cracked Slopes at Tunnel Entrance Subjected to Pore Water Pressure

##### doi: 10.21656/1000-0887.420054
• Accepted Date: 2021-03-01
• Rev Recd Date: 2021-05-22
• Available Online: 2021-11-15
• Publish Date: 2021-12-01
• The stability of the cracked slope at tunnel entrance subjected to pore water pressure was studied. The upper-bound limit analysis method and the logarithmic spiral rotation failure mechanism were adopted. A formula for calculating the stability coefficient reflecting the critical slope height was derived. The rationality of the proposed method was verified through comparison of the calculated results with those without effects of the pore water pressure. The distribution of the most critical crack position at the top of slope and the safety factor of the slope were studied by an example analysis. The results show that, the greater the crack depth is, the larger the internal friction angle and the slope angle will be, and the shallower the water level is, the closer the crack position will be to the edge of the slope. The greater the pore water pressure coefficient and the cracking depth are, the smaller the stability coefficient of the slope top will be. The deeper the crack is, the higher the pore water pressure coefficient and the steeper the slope will be, and the more unstable the slope will be. However, the lower the water level is, the more stable the slope will be.

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