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为了合理地确定边坡的最不利滑裂面、探讨坡顶开裂原因及出现滑坡险情时的应急措施,将变分方法用于边坡稳定性分析。通过建立一个与边坡稳定相关的泛函,根据边界条件选取适当的基函数,获得了边坡最不利滑裂面。基于所得最不利滑裂面,得到垂直边坡和普通边坡最不利滑裂面的分布随土体内摩擦角和内聚力的变化趋势,为垂直边坡和普通边坡采取正确的应急措施、提高边坡的稳定性提供了理论依据;根据泛函T沿最不利滑裂面的变化将边坡划分为主动滑动区和被动滑动区。比较分析得出:变分方法和Bishop条分法所获得的安全系数比较接近,且变分方法获得的安全系数略小。
In order to reasonably determine the most unfavorable sliding surface of slope, the reason of slope cracking and the emergency measures in the event of landslide danger are discussed. The variation method is applied to the stability analysis of slope. By setting up a functional that is related to slope stability and selecting the appropriate basis function according to the boundary conditions, the most unfavorable slip surface of slope is obtained. Based on the most unfavorable sliding surface, the distribution of the most unfavorable sliding surface of vertical slope and ordinary slope is obtained. With the trend of soil friction angle and cohesion, the correct emergency measures are taken for vertical slope and common slope, The stability of the slope provides the theoretical basis; the slope is divided into the active sliding zone and the passive sliding zone according to the change of the most unfavorable sliding surface. The comparative analysis shows that the safety factor obtained by the variational method and the Bishop bar method is relatively close, and the variational method obtains slightly lower safety factor.