基于极限分析的三维边坡可靠度研究

基于极限分析上限法提出了非相关联流动法则速度场下三维边坡的安全系数计算方法与可靠度计算模型，该方法有效地避免了在求解相关联法则速度场时，由于摩擦角过大会出现的速度场不收敛问题。基于双对数螺旋线破坏机制，考虑土体参数的空间变异性，提出的可靠度计算方法，相对于二维计算模型能够更加精确地计算边坡的失效概率。最后结合算例讨论了土体参数变异系数对三维边坡可靠度的影响。结果表明，边坡的失效概率随着土体参数c、φ值变异系数的增加而增大，其中c值变异系数对失效概率影响显著，φ值变异系数对失效概率影响相对较小。

Research on reliability of 3D slope based on limit analysis

Based on the upper bound method of limit analysis，this paper proposes the safety factor calculation method and reliability calculation model of three-dimensional slope under the velocity field of uncorrelated flow law.This method can effectively solve the convergence problem of velocity field caused by too large friction angle in the correlated flow law.This paper provides a good method to calculate the safety factor of slope considering the spatial variability of soil materials，and compared with the two-dimensional calculation model，the failure probability of slope can be solved more accurately.In this paper，the influence of variation coefficient of soil parameters on the reliability of three-dimensional slope is discussed based on a specific example.The results show that the failure probability of slope increases with the increase of variation coefficient of soil parameters c and φ.The coefficient of variation of c value has a more significant effect on failure probability than that of φ value.