In mountain areas, flexural buckling failure of layered rock slopes due to self-weight is common, and it frequently results in serious disasters. Previous research has focused on qualitatively evaluating slope buckling stability and rarely studied the whole process from deformation to failure. In this work, we intend to quantitatively analyze the progressive movement of buckling landslide by solving the critical buckling sliding displacement. Layered rocks are simplified as an inclined multiple beam model with axial concentrated force. The sliding process of buckling is divided into three stages, which correspond to the upper rock stress reaches tensile strength, the lower rock stress reaches compressive strength, and the rock layers below the maximum uplift height of buckling segment begin to overturn under the action of self-weight. By considering tensile and compressive strength, the calculation method of critical sliding displacement is put forward, and corresponding criterion for assessing slope buckling stability is developed. The feasibility and accuracy of the proposed method were confirmed based on the good agreement among numerical manifold simulation, theoretical calculation and field data. In addition, the parameter sensitivity analysis of layered slopes stability shows that longer, thinner, and steeper soft rock slopes are more prone to buckling failure. The formation of buckling failure will be aggravated for layered rocks with smaller compressive strength, lower geological strength index and higher degree of disturbance, but the value of critical sliding displacement remains unchanged.

在山区，层状岩质边坡因自重引起的屈曲屈曲破坏十分普遍，往往造成严重的灾害。以往的研究多集中于定性评价边坡屈曲稳定性，很少研究边坡从变形到破坏的全过程。在这项工作中，我们打算通过求解临界屈曲滑动位移来定量分析屈曲滑坡的渐进运动。层状岩石被简化为具有轴向集中力的倾斜多梁模型。屈曲滑动过程分为三个阶段，分别对应上层岩石应力达到抗拉强度，下层岩石应力达到抗压强度，屈曲段最大抬升高度以下的岩层在自重作用下开始倾覆。在考虑抗拉和抗压强度的基础上，提出了临界滑动位移的计算方法，并制定了相应的边坡屈曲稳定性评价准则。基于数值流形模拟、理论计算和现场数据之间的良好一致性，证实了所提方法的可行性和准确性。此外，层状边坡稳定性参数敏感性分析表明，越长、越薄、越陡的软岩边坡越容易发生屈曲破坏。对于抗压强度较小、强度较低的层状岩石，屈曲破坏的形成会加剧。地质强度指标和扰动程度较高，但临界滑动位移值保持不变。