考虑水力效应的裂缝边坡稳定性非线性能耗分析

doi:10.3969/j.issn.1674-0696.2024.03.04

摘要/Abstract

摘要： 现有考虑水力效应的裂缝边坡稳定性分析大多基于线性破坏准则，而岩土体破坏往往呈现非线性特征，因此开展水力效应影响下的裂缝边坡稳定性非线性极限上限分析具有重要意义。基于极限分析上限定理及强度折减技术，结合“外切线法”非线性破坏准则，构建坡顶含竖直裂缝的边坡对数螺旋线破坏模式，根据虚功原理推导出裂缝边坡安全系数解析式，通过MATLAB优化计算，结合边坡工程实例探讨了典型因素对裂缝边坡稳定性、临界裂缝及滑动面位置的影响规律。研究结果表明：随着地下水位h的持续上升，边坡安全系数不断降低，临界裂缝深度逐渐增大且临界裂缝位置逐渐向坡顶缘偏移；非线性系数m明显影响边坡的稳定性，边坡安全系数随着非线性系数的增大显著减小，采用线性破坏准则会高估地下水位变化对边坡稳定性的影响；随着非线性系数的增大，临界裂缝深度随之增大，临界裂缝位置距离坡顶缘越来越远，滑坡体体积逐渐增大；裂缝与坡顶缘距离lm随着非线性系数m的增大而增大 (当m增大0.2时，lm增大约1 m)，且随着裂缝与坡顶缘距离的增大，边坡安全系数无明显变化，临界裂缝深度先逐渐减小后趋于稳定。

关键词: 岩土工程；稳定性分析；极限分析上限定理；安全系数；非线性破坏准则；强度折减技术

Abstract: 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.

Key words: geotechnical engineering; stability analysis; upper bound theorem of limit analysis; safety factor; nonlinear failure criterion; strength reduction technology

中图分类号:

TU457

罗伟1,2，卢茜1,2，徐长节1,2，陈静瑜1,2，陶智1,2. 考虑水力效应的裂缝边坡稳定性非线性能耗分析[J]. 重庆交通大学学报（自然科学版）, 2024, 43(3): 26-34.

LUO Wei1,2, LU Xi1,2, XU Changjie1,2, CHEN Jingyu1,2, TAO Zhi1,2. Nonlinear Energy Consumption Analysis of Cracked Slopes Stability Considering Hydraulic Effect[J]. Journal of Chongqing Jiaotong University(Natural Science), 2024, 43(3): 26-34.

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