孔隙水压力作用下土坡的极限分析-----外文翻译.doc

ABSTRACT: the limit-equilibrium method is commonly, used for slope stability analysis. However, it is well known that the solution obtained from the limit-equilibrium method is not rigorous, because neither static nor kinematic admissibility conditions are satisfied. Limit analysis takes advantage of the lower-and upper-bound theorem of plasticity to provide relatively simple but rigorous bounds on the true solution. In this paper, three nodded linear triangular finite elements are used to construct both statically admissible stress fields for lower-bound analysis and kinematically admissible velocity fields for upper-bound analysis. By assuming linear variation of nodal and elemental variables the determination of the best lower-and upper-bound solution maybe set up as a linear programming problem with constraints based on the satisfaction of static and kinematic admissibility. The effects of pro-water pressure are considered and incorporated into the finite-element

摘要：极限平衡法一般用于土坡的稳定性分析。然而，众所周知的是，从极限分析法中获得的解是不严密的，因为它既不满足静态的允许条件，又不满足动态的允许条件。极限分析法充分利用了塑性体的上下边界原理，在求真实解中提供了一个相对简单但又严密的边界。在这篇文章中，三点确定的三角形三边有限元法被利用与构造在下边界分析中的静态允许应力场和上边界分析中的速度场。通过假设三角形顶点的线变量和元素变量，真实解应该是一个线形的约束问题。在静态和动态的条件都满足的基础上，真实解应该处在上下边界所得的解之间。在有限元公式中，要考虑包括了孔隙压力的影响，以便使饱和土坡的有效应力分析可以得出。作者对从不同地下水形式下简单土坡的极限分析所得的结果与极限平衡法中所得的结果作了比较。