【摘要】 自然界或人类工程活动中，土质边坡裂缝的产生不仅与岩土体性质有关，还与边坡的几何形态有关。为了研究不规则形态的裂缝土坡稳定性问题，基于极限分析上限定理及强度折减法，构建n级不规则形态裂缝土坡能耗平衡方程，推导安全系数的表达式，探讨土坡的坡形凹凸程度、裂缝位置、裂缝深度对坡体稳定性的影响，结果表明：当等效直坡角β₀=30°,凹点在坡脚附近时，凹坡较直坡不稳定；凸点在坡脚附近时，凸坡较直线坡更稳定。凸形态下，凸点上移过程中，临界裂缝深度δ/H_min先减小后增加，临界位置x/H_min逐渐靠近坡面；凹形态下，凹点上移过程中，δ/H_min先增加后减小，x/H_min逐渐远离坡面。最后，将所提方法与实际工程相结合，得出坡顶张裂缝对坡体稳定性的影响效果随坡体凹凸程度及坡高的加剧而减弱。研究成果可为类似边坡工程提供一定的理论依据。更多还原

【Abstract】 In nature or human engineering activities, the crack generation of soil slope is not only related to the properties of rock and soil, but also to the geometry of the slope. In order to study the stability of irregularly shaped cracked soil slopes, based on the upper bound theorem of limit analysis and the strength reduction method, an energy balance equation for n-level irregularly shaped cracked soil slopes was constructed, and the expression of the safety factor was derived. The influence of the slope shape concavity and convexity, crack position, and crack depth on the stability of the slope was explored. The results show that when the equivalent straight slope angle β₀ is 30° and the concave point is near the foot of the slope, the concave slope is less stable than the straight slope. When the convex point is near the slope foot, the convex slope is more stable than the straight slope. In the convex shape, the critical crack depth δ/H_min first decreases and then increases, and the critical position δ/H_min gradually approaches the slope when the convex point moves upward. In the concave form, x/H_min increases first and then decreases, and x/H_mingradually moves away from the slope during the upward movement of the concave point. Finally, combining the method with the actual project, it is concluded that the effect of the tensile crack on the slope stability is weakened with the increase of the slope body concave-convex degree and slope height. The research results can provide some theoretical basis for similar slope engineering.更多还原