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Nonlinear Energy Consumption Analysis of Cracked Slopes Stability Considering Hydraulic Effect
LUO Wei1,2, LU Xi1,2, XU Changjie1,2, CHEN Jingyu1,2, TAO Zhi1,2
2024, 43(3):
26-34.
DOI: 10.3969/j.issn.1674-0696.2024.03.04
The existing stability analysis of cracked slopes considering hydraulic effect was mostly based on linear failure criterion, and the failure of rock and soil often presented nonlinear characteristics. Therefore, it was of great significance to carry out nonlinear limit upper bound analysis of cracked slopes stability under the hydraulic effect. Based on the upper bound theorem of limit analysis and strength reduction technology, combined with the “outer tangent method”, the nonlinear failure criterion was introduced to construct the logarithmic spiral failure mode of the slope with vertical cracks at the top of the slope. According to the principle of virtual work, an analytical formula for the safety factor of cracked slopes was derived. Through MATLAB optimization calculation, combined with the slope engineering example, the influence rule of typical factors on the stability of cracked slopes, critical crack and sliding surface position was discussed. The research results show that with the continuous rise of groundwater level h, the slope safety factor decreases continuously, the critical crack depth gradually increases, and the critical crack position gradually shifts towards the top edge of the slope. The nonlinear factor m obviously affects the slope stability, and the safety factor of slope decreases significantly with the increase of nonlinear factor. The use of linear failure criterion will overestimate the influence of groundwater level change on slope stability. With the increase of nonlinear factor, the critical crack depth increases; the crack critical position is farther and farther away from the top edge of the slope, and the volume of the landslide body increases gradually. The distance lm between the crack and slope crest increases with the increase of the nonlinear factor m (when m increases by 0.2, lm increases by about 1 m), and with the increase of the distance between the crack and slope crest, the safety factor of the slope has no obvious change, and the critical crack depth decreases firstly and then tends to be stable.
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