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在传统极限平衡法的基础之上,引入土体处于极限平衡状态时对应的真实应力场的概念。定义可能滑裂面,把土体对应的极限承载力仅抽象成可能滑裂面函数的泛函,并对可能滑裂面上土体进行应力分析和强度分析,利用极限平衡的思想,以变分理论为工具,寻求泛函取极小值的条件,得到土体内可能滑裂面上正应力的计算公式。通过整体平衡方程,结合搜索算法,亦可求得土体内滑裂面的形状以及极限承载力。本文所求的滑裂面正应力函数为精确解,适用于任意滑裂面以及非线性强度准则,对于真实的滑裂面,可求出极限承载力的精确解。本文得到的滑裂面正应力函数适用性很广,可以应用到地基承载力、土压力以及边坡稳定等会出现滑裂面的问题计算中。
Based on the traditional limit equilibrium method, the concept of real stress field corresponding to the equilibrium state of soil is introduced. The possible sliding surface is defined, and the ultimate bearing capacity of soil is only abstracted into the functional of sliding surface function. The stress and strength of soils on the possible sliding surface are analyzed. Based on the idea of limit equilibrium, Sub-theory as a tool to find the minimum functional conditions to obtain the potential slip on the soil surface is normal stress formula. Through the overall equilibrium equation, combined with the search algorithm, the shape and ultimate bearing capacity of the slip surface in the soil can also be obtained. The normal stress function of the sliding surface is the exact solution, which is suitable for any sliding surface and nonlinear strength criterion. For the real sliding surface, the exact solution of the ultimate bearing capacity can be obtained. In this paper, the normal stress function of sliding surface is very suitable for calculation of the problem of sliding surface due to the bearing capacity of foundation, earth pressure and slope stability.