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基于空间一点应力分析,进行了空间曲面上一点的应力分析,得出了曲面上一点的法向应力、剪应力与应力分量、曲面一阶偏导数的关系。建立了曲面至边坡表面土柱上力的微分平衡方程、力的平衡方程、力矩平衡方程。和库仑屈服条件一起,构成了边坡稳定问题普遍适用的基本方程。采用与二维问题的简化Bishop法类似假定,得出了一种三维边坡稳定性分析的计算方法。算例表明,本文方法计算结果是合理的,具有广泛的应用意义。
Based on the analysis of a little stress in space, the stress analysis of a point on the surface of the space was carried out. The relationship between the normal stress, the shear stress and the stress component and the first order partial derivative of the surface was obtained. The differential balance equation, the force balance equation and the moment balance equation of the soil column from the surface to the slope surface are established. Together with the Coulomb yield conditions, the basic equations for the slope stability problem are universally applicable. Using a similar assumption of the simplified Bishop method to the two-dimensional problem, a method of calculating the 3D slope stability is derived. The example shows that the calculation result of this method is reasonable and has a wide range of applications.