非线性破坏准则的竖直边坡稳定性分析

采用极限分析方法进行边坡稳定性分析通常采用线性MohrColumn破坏准则。但大量实验证明，岩土体的破坏包络线是非线性曲线。基于切线法和积分的思想，推导了基于非线性破坏准则的极限分析上限法求解竖直边坡稳定性和临界高度的计算公式。应用该方法计算了竖直边坡的稳定系数，并与文献中的计算结果进行了比较，结果相差很小。另外，对非线性破坏准则强度参数对竖直开挖边坡稳定性的影响分析结果表明，这些参数对边坡的稳定性分析结果起关键作用。

Vertical Slopes Stability Analysis with Nonlinear Failure Criterion

Generally, a linear MC failure criterion is adopted in slope stability analysis by limit analysis method. However, a substantial amount of experimental evidence suggests that Mohr envelopes of many soils are nonlinear, particularly in the range of small normal stresses. In this paper, a methodology is proposed for stability analysis of vertical cut slopes with a nonlinear failure criterion by employing the kinematic approach of limit analysis. The tangent technique is used to represent the nonlinear strength of every differential section on failure surface as a linear MC strength. Then, the critical stability factor of vertical cut slope is calculated by integral and optimization method. And the results are compared with those obtained in literature. Finally, the influences of the strength parameters in the nonlinear criterion on the stability of vertical cut slopes are discussed.