基于滑移线场理论的临坡地基承载力简化分析方法

在现有相关研究基础上，探讨了无重土平地基Hill破坏模型及其承载力滑移线解和斜坡地基Hill破坏模型及其承载力滑移线解，提出临坡条形基础地基破坏模式应是介于平地基破坏模式和斜坡地基破坏模式两种临界状态之间的一种连续变化模式，在相同边界条件下，改变坡顶距的临坡地基极限承载力滑移线解答则是介于这两种地基状态间的一个连续函数解，并据此构建出临坡条形基础无重土地基的双侧不对称Hill滑动破坏模式.在此研究基础上，通过引入宽度比系数将基底分为两个均布受压区，采用“等代自由面”简化边坡面上滑块的应力影响作用，使临坡一侧受压区极限压力可直接用已有斜坡地基滑移线解表示.通过分析宽度比系数、坡顶距和破坏模式之间的关系，设定了宽度比系数函数，建立出基于滑移线场理论的临坡地基极限承载力确定方法.通过与现有研究成果的对比分析，表明了本文研究方法的可行性与合理性.
On the basis of the existing researches，Hill failure mechanism and its slip line solution for the ultimate bearing capacity of flat ground foundation and slope foundation were put forward without considering the foundation soil gravity.The failure mechanism of the strip footings near slope was a continuous variation mode.It should be between failure modes of the flat ground foundation and slope foundation.In the same boundary conditions，the bearing capacity of the slip line solution was a continuous function between the two critical foundation states，as the distance from the top of slope was variable.The bilateral asymmetric Hill failure mode of the strip footing near slope was thus put forward.Then，on the basis of the study，the basal pressure zone was divided into two uniform compressive areas by introducing the width ratio.The stress influence on the slope slider was simplified by using the equivalent free surface.The limit pressure on the slope slide can be then calculated by slip line solution for the slope foundation.The function of the width ratio was set by analyzing the relationship among the width ratio，the distance from the top of slope and failure mode.A new method to determine the ultimate bearing capacity of the strip footing adjacent to slope was then put forward based on the theory of slip line.Finally，the feasibility and rationality of the proposed approach were verified through the comparison with current research results.