水平条分法下边坡稳定性分析与计算方法研究

极限平衡水平条分法较适用于成层岩土边坡，但较竖直条分法尚有不足之处。通过研究水平条分与竖直条分中条间力的关系，建立起水平与竖直条分法相对应的条间力假设条件；并针对水平条分法遇到滑动面存在弓形体时，采取水平条分和斜条分相结合的模式进行处理。在此基础上，推导出了瑞典法、简化Bishop法、简化Janbu法和Morgenster-Price（M-P）法在水平条分时的安全系数计算公式，其中，根据满足条件不同，得到了瑞典法的两种不同安全系数计算公式，并根据以往研究成果将一般简化Janbu法进行改进。当使用任意曲线和圆弧滑动面两种型式时，通过算例对比分析，验证了对水平条分法所做研究的可行性。同时，也表明了两种瑞典法得到的结果是一致的，改进的简化Janbu法在边坡稳定性分析上较一般简化Janbu法更优。

Analysis of slope stability and research of calculation method under horizontal slice method

Limit equilibrium method with horizontal slice method is more suitable for layered soil slopes;but there are some deficiencies than vertical slice method.By studying the relationship of interaction forces between horizontal slice and vertical slice methods,corresponding assumptions of inter-slice forces between horizontal slice and vertical slice methods are established.And a combination model of horizontal slice and oblique slice is adopted when horizontal slice method encounters the sliding surface with toxoplasma.On this basis,the formulas of Sweden method,simplified Bishop method,simplified Janbu method,and Morgenster-Price(M-P) method for calculating factor of safety(FOS) are derived.Among those,two different FOS calculated formulas of Sweden method are obtained according to different satisfied conditions;and the general simplified Janbu method is improved based on previous studies.By using two types of sliding surfaces,arbitrary curve and arc,through analyzing some examples,the treatment of horizontal slice method taken in this article is verified feasible.At the same time,it also shows the results got by two Swedish methods are consistent;and the improved simplified Janbu method is better in analyzing stability of slope than general simplified Janbu method.