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：極限平衡法一般用于土坡的穩(wěn)定性分析。然而，眾所周知的是，從極限分析法中獲得的解是不嚴(yán)密的，因?yàn)樗炔粷M足靜態(tài)的允許條件，又不滿足動(dòng)態(tài)的允許條件。極限分析法充分利用了塑性體的上下邊界原理，在求真實(shí)解中提供了一個(gè)相對簡單但又嚴(yán)密的邊界。在這篇文章中，三點(diǎn)確定的三角形三邊有限元法被利用與構(gòu)造在下邊界分析中的靜態(tài)允許應(yīng)力場和上邊界分析中的速度場。通過假設(shè)三角形頂點(diǎn)的線變量和元素變量，真實(shí)解應(yīng)該是一個(gè)線形的約束問題。在靜態(tài)和動(dòng)態(tài)的條件都滿足的基礎(chǔ)上，真實(shí)解應(yīng)該處在上下邊界所得的解之間。在有限元公式中，要考慮包括了孔隙壓力的影響，以便使飽和土坡的有效應(yīng)力分析可以得出。作者對從不同地下水形式下簡單土坡的極限分析所得的結(jié)果與極限平衡法中所得的結(jié)果作了比較。