姜朋明;盛 欢;陆长锋;梅国雄. 边坡极限承载力的严密解[J]. 工程力学, 2009, 26(增刊Ⅰ): 77-080.
引用本文: 姜朋明;盛 欢;陆长锋;梅国雄. 边坡极限承载力的严密解[J]. 工程力学, 2009, 26(增刊Ⅰ): 77-080.
JIANG Peng-ming;SHENG Huan;LU Chang-feng;MEI Guo-xiong. RIGOROUS SOLUTION OF THE SLOPE ULTIMATE BEARING CAPACITY[J]. Engineering Mechanics, 2009, 26(增刊Ⅰ): 77-080.
Citation: JIANG Peng-ming;SHENG Huan;LU Chang-feng;MEI Guo-xiong. RIGOROUS SOLUTION OF THE SLOPE ULTIMATE BEARING CAPACITY[J]. Engineering Mechanics, 2009, 26(增刊Ⅰ): 77-080.

边坡极限承载力的严密解

RIGOROUS SOLUTION OF THE SLOPE ULTIMATE BEARING CAPACITY

  • 摘要: 根据边坡失稳的特征,将坡体分成主被动塑性区、刚性区,分析了土体中不连续应力场和速度场特点,基于上下限原理的推论,建立计算模型,构建求解边坡极限承载力的算法,通过解三类边值问题,求得边坡极限承载力的精确数值解。该解满足土中刚性区的静力平衡条件、刚体运动条件和已知的边界条件。利用该算法对影响承载力的几个因素进行了讨论。算例表明:该文求解边坡极限承载力严密解的算法是可行的,结论可靠。

     

    Abstract: According to the characters of actual slope failure, the slope was divided into a plastic area and a rigid area, at sometime, the discontinuous stress fields and velocity fields were constructed by analyzing their stress conditions and velocity conditions. Based on the deductions of the upper and lower bound theorems, the model of calculation was built, the stress field and the corresponding mobile field were obtainen by the numerical calculation to solve three kinds of boundary value problems. Although it will be computed many times, but the numerical solution can satisfy all stress and the velocity boundary conditions, it is an exact solution. In addition, the influences of the soil properties on the slope bearing capacity are numerically investigated. The computational results show that the approach to solve the slope bearing capacity problem is available.

     

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