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通过三维数值分析表明圆形凸坡的破坏模式接近于轴对称破坏,采用一般的三维破坏模式会使计算结果偏于不安全,揭示了目前三维分析方法中滑裂面形状的假设并非总是合理。构建了轴对称条件下的容许速度场,得到了内摩擦角φ=0时圆形凸坡临界坡高的上限解。同时提出了轴对称破坏模式下,计算圆形凸坡安全系数的极限平衡方法。比较了圆形凸坡和长直坡的稳定性差异,圆形凸坡的相对半径越小、土体越接近于纯黏性土时两者的差异越大,坡度较小时前者较稳定,坡度较大时则相反,进而纠正了以往认为平面应变模型计算圆形凸坡偏于不安全的错误认识。
Three-dimensional numerical analysis shows that the failure mode of the circular slope is close to the axisymmetric failure, and the general three-dimensional failure mode makes the calculation unsafe. It is not always reasonable to assume that the shape of the sliding surface in the three-dimensional analysis method . The allowable velocity field under the axisymmetric condition was constructed, and the upper limit solution of the critical height of the circular ridge was obtained when the internal friction angle φ = 0. At the same time, the limit equilibrium method for calculating the safety factor of circular slope is proposed under the axisymmetric failure mode. The differences of stability between circular and long straight slopes are compared. The smaller the relative radius of circular bulges and the closer the soil to pure clayey soil, the greater the difference between the two. When the slope is small, the former is more stable and the slope On the contrary, when larger, the mistake of knowing that the circular bulge is insecure by the plane strain model was corrected in the past.