非线性破坏准则下的边坡稳定塑性极限分析

利用塑性分析上限定理，考虑岩土介质本身的非线性破坏准则，对各种不同破裂面边坡稳定性分析进行研究。针对破坏边坡破裂面不同，采用外切直线法来分析其上限解，推导出非线性破坏准则下的边坡稳定性系数计算公式，并对较复杂的对数螺旋线破裂面边坡提出初始切线法，较好地求出塑性极限分析上限解。将在非线性破坏准则下按对数螺旋线破裂面推导出的塑性极限分析上限解运用于实际边坡工程，其结果与精确塑性分析结果非常接近，为非线性破坏准则下的边坡稳定塑性极限分析提供了一条新的思路与方法。

Plastic limit analysis of slope stability with nonlinear failure criterion

The slope stability analysis is studied with the nonlinear failure criterion based on the plastic upper limit theorem.The tangent method is assumed to analyse the upper limit solution along the different brusted surface of slope in order to infere the stability coefficient formulas with the nonlinear failure criterion.The initial-tangent method is proposed for the complex slope with logarithmic spiral crack surface;and it can calculate the plastic analysis upper limit solution well.A classical slope calculation case shows that the presented method is of correctness and high precision which agrees well with previous achievements.The new method can be used to guide the slope stability analysis with the nonlinear failure criterion based on the plastic upper limit theorem.