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利用上限定理与强度折减法,提出了一种新的边坡反分析方法。该方法基于边坡的滑动面形状,不需要位移、应力等监测数据。分析边坡的临界滑动面位置与强度参数的关系,可以发现,当边坡的几何形状、土体重度以及孔隙水压力分布确定,则临界滑动面的形状只与土体黏聚力c、内摩擦角φ的关系式c/tanφ有关,并在此基础上引入边坡的无量纲系数c,λcφ。利用极限分析上限定理与强度折减法,得到了边坡临界滑动面方程,提出了其深度的计算公式,建立了边坡c,λcφ值与滑动面深度的关系。通过已有边坡的反分析实例,验证了方法的正确性和有效性。
Using the upper bound theorem and strength reduction method, a new slope inverse analysis method is proposed. The method is based on the shape of the sliding surface of the slope, and does not require displacement and stress monitoring data. Analyzing the relationship between the critical slip surface position and the strength parameter, we can find that the shape of the critical slip surface is only related to the cohesion of the soil body (c, φ) when the slope geometry, soil mass and pore water pressure distribution are determined The friction angle φ is related to c / tan φ, and based on this, the dimensionless coefficients c and λcφ of the slope are introduced. By using the upper bound theorem of limit analysis and strength reduction method, the critical slip surface equation of slope is obtained, and the formula of its depth is proposed. The relationship between the slope c, λcφ and the depth of sliding surface is established. The inverse analysis of the existing slope shows that the method is correct and effective.