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边坡三维临界滑裂面的确定及其安全系数的求解是边坡稳定分析中的关键问题,而现有分析方法尚难以方便、可靠地获得三维滑裂面。在有限元数值应力场的基础上,计算边坡的安全系数。通过构造扩展椭球形滑裂面,利用自适应差分进化(SaDE)算法结合反向移动操作,实现了复杂边坡三维临界滑裂面的搜索。扩展椭球滑裂面构造方便,搜索灵活,比传统的球面或椭球面更能反映实际工程情况。整个求解过程为显式求解,不存在收敛性问题。算例考核结果表明,提出的方法具有良好的搜索效率与全局寻优能力,结果与刚体极限平衡法、有限元强度折减法吻合,计算结果合理可靠。通过实际工程边坡,进一步验证了该方法可方便、有效地应用于具有复杂岩性及环境条件的边坡三维稳定性分析。
The determination of the three-dimensional critical slip plane and the solution of its safety factor are the key problems in the slope stability analysis. However, the existing analytical methods are still not easy and reliable to obtain the three-dimensional sliding surface. On the basis of finite element numerical stress field, the safety factor of slope is calculated. By constructing the extended ellipsoidal slip surface and using the adaptive differential evolution (SaDE) algorithm combined with the reverse moving operation, the 3D critical slip surface of complex slope is searched. The extended ellipsoidal slip surface has the advantages of convenient structure and flexible search, which can better reflect the actual engineering conditions than the traditional spherical or ellipsoidal surface. The whole solution process is explicit solution, there is no convergence problem. The test results show that the proposed method has good searching efficiency and global optimization ability. The results are in good agreement with the rigid body limit equilibrium method and finite element strength reduction method, and the calculation results are reasonable and reliable. Through the actual engineering slope, it is further verified that the method can be conveniently and effectively applied to the three-dimensional slope stability analysis with complex lithology and environmental conditions.