CAJ | 학술논문

　　岩土工程稳定性潜在失效风险问题日益引起人们的重视。分析了岩土边坡极限平衡理论特征，针对其滑动模式的稳定性系数计算公式为隐式表达，逆可靠度极限状态方程偏导数不易求解等问题，以极限理论中的Bishop模式为例，结合响应面途径，导出了将边坡稳定性系数隐式表达函数近似为显式二次多项式的简化方法。然后将其与基于一次二阶矩的结构逆可靠度算法融合，构建出基于风险控制的边坡稳定逆可靠度分析设计方法。基于该设计方法得出的方案具有可靠度与稳定性系数的双重控制指标。通过对示例边坡的拓展分析，阐述了该方法的实施过程，展示了边坡稳定失效风险与稳定系数的关系及相关因素对风险影响程度的分析方法。本文为边坡工程的风险设计提供了有效的可选途径。
　　암토공정은정성잠재실효풍험문제일익인기인문적중시。분석료암토변파겁한평형이론특정，침대기활동모식적은정성계수계산공식위은식표체，역가고도겁한상태방정편도수불역구해등문제，이겁한이론중적Bishop모식위례，결합향응면도경，도출료장변파은정성계수은식표체함수근사위현식이차다항식적간화방법。연후장기여기우일차이계구적결구역가고도산법융합，구건출기우풍험공제적변파은정역가고도분석설계방법。기우해설계방법득출적방안구유가고도여은정성계수적쌍중공제지표。통과대시례변파적탁전분석，천술료해방법적실시과정，전시료변파은정실효풍험여은정계수적관계급상관인소대풍험영향정도적분석방법。본문위변파공정적풍험설계제공료유효적가선도경。
The potential failure risk problem of stability in geotechnics is increasingly drawing the attention of researchers. By analyzing the theoretical characteristics of slope limit equilibrium method and taking the Bishop’s mode as an example,we find that the formula for the slope stability factor has implicit character-istics and thus it is not easy to obtain the corresponding partial derivatives. Then the response surface meth-od (RSM) is introduced, and the implicit expression equation can be simplified in a way that uses an ex-plicit quadratic polynomial. Additionally, the quadratic polynomial is combined with the inverse reliability analysis based on the first order second moment in order to propose a new design method for slope stabili-ty based on the risk control hierarchy, which enables it to possess the dual-indicators involving both reli-ability index and stability factors. By analyzing the illustrative examples of slopes, this paper elaborates the implementation process of such a method and shows the relationship between the failure risk and stability factor, and it also displays analysis methods of some influencing factors on the risk level. Therefore, the proposed method is effective for the risk design of slope engineering as an alternative means.