Influence of Initial Normal Stress of Slip on the Stabilityof Common Three-dimensional Slopes

DOI：10.3969/j.issn.1000-0844.2020.02.475

 作者 单位 刘华丽 陆军工程大学, 江苏 南京 210007 朱大勇 浙江大学宁波理工学院 土木建筑工程学院, 浙江 宁波 315100

基于滑面正应力修正的边坡安全系数显示解法，研究滑面初始正应力分布对边坡稳定性的影响。假设滑面的初始正应力分布，用含有待定参数的修正函数对其进行修正，使滑体满足所有方向的力和力矩平衡条件，推导出满足所有平衡条件的安全系数方程，得到边坡安全系数值，对边坡稳定性进行评判分析。结果表明，对于三维对称边坡，不同初始滑面正应力分布对边坡稳定性影响较小，安全系数最大差别控制在5%以内；对于一般三维形状边坡，不同初始正应力分布对边坡稳定性影响较大，三维安全系数的差别在6.2%，与其他方法的差别最大达到28.7%，需要进一步验证滑面正应力分布的合理性才能应用于工程实践。

The influence of the distribution of the initial normal stress on the stability of slope was investigated using the explicit solution of slope safety factor based on modification of normal stress distribution over the slip surface. The initial normal stress distribution over the slip surface was assumed and then modified by a correction function with undetermined parameters so the slip mass can satisfy the equilibrium conditions of force and moment in all directions. An equation satisfying all the equilibrium conditions was derived, and the safety factor was calculated. Slope stability was also evaluated. Computation results show the minimal influence of different distributions of initial normal stress on the 3D symmetrical slope. The maximum difference in the safety factor is below 5%. For the common slope, the influence is relatively large and the difference in the safety factor is 6.2%. The maximum difference compared with the other methods is 28.7%. Therefore, verifying the rationality of normal stress distribution over the sliding surface is necessary in engineering practice.