关于“饱和土不排水剪切滑移面倾角探究”的讨论

    Discussion on "On the inclination angle of undrained shear slip surface in saturated soils"

    • 摘要: 针对宋二祥等在“饱和土不排水剪切滑移面倾角探究”一文中所提出的饱和土不排水条件下滑移面倾角为45°的主张进行讨论。根据有效应力原理,土的强度与破坏是由作用于土骨架上的有效应力决定的;按照莫尔-库仑强度理论,当大主应力方向分别为竖直与水平方向时,这一倾角应为45°±φ′/2,大量的试验结果与工程实践也都证明了45°±φ′/2倾角是基本符合实际的。讨论了一些影响饱和土不排水条件下滑移面倾角的因素,但这些因素都不会产生45°与45°±φ′/2之间这样大的差距。并特别指出,在对饱和土进行极限平衡分析与数值计算时,其分析对象可以是饱和土体或土骨架。前者材料的主要力学性质为φ=0°与dεv=0,这时莫尔-库仑强度理论将退化为特雷斯卡强度准则,土力学退化为材料力学;后者的主要力学性质为内摩擦角为φ′,具有可压缩性和剪胀(缩)性,这时dεv=0只是其分析的边界条件。最后,进行了饱和砂土的三轴不排水试验,结果表明其滑裂面倾角基本为45°+φ′/2。

       

      Abstract: The discussion focuses on the viewpoint made by Song et. al. in the article "On the inclination angle of undrained shear slip surface in saturated soils" that the inclination angle of the slip surface under undrained conditions of saturated soil is 45°. According to the principle of effective stress, the strength and failure of soil are determined by the effective stress acting on the soil skeleton. According to the Mohr-Coulomb strength theory, when the major principal stress directions are respectively vertical and horizontal, this inclination angle should be 45°±φ′/2. A large number of experimental results and engineering practices have also proved that 45°±φ′/2 is basically in line with reality. Some factors affecting the inclination angle of the slip surface under undrained conditions of saturated soil are discussed, but none of these factors would result in such a large gap between 45° and 45°±φ′/2. It is particularly pointed out that in the limit equilibrium analysis and numerical calculation of saturated soil, the analysis object can be either the saturated soil mass or the soil skeleton. In the former, the main mechanical properties of the material are φ = 0° and dεv = 0, at which point the Mohr-Coulomb strength theory will degenerate into the Tresca strength criterion, and soil mechanics will degenerate into material mechanics. In the latter, the main mechanical properties are the angle of internal friction φ′, compressibility and dilatancy (contraction), and at this time, dεv=0 is only the boundary condition of the analysis. Finally, a triaxial undrained test of saturated sand is conducted, and the results show that the inclination angle of the slip surface is basically 45°+φ′/2.

       

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