基于Morgenstern-Price法边坡三维稳定性分析

 工程中边坡滑裂面通常都是三维空间上的一个曲面，采用传统的二维稳定性分析方法对其进行分析与实际不符。Morgenstern-Price极限平衡条分法(M-P法)是最严密的边坡二维稳定性分析方法，将其拓展并引入边坡三维稳定性分析中。通过类似于M-P法的条间力假定，建立一种新的边坡三维稳定性分析方法—基于M-P法边坡三维极限平衡分析法。给出2个验证算例，与现有几种方法对比计算结果表明：该法不仅计算结果更可靠，而且力学模型更为严谨，计算公式简便且易于编程，可在边坡工程设计及滑坡治理中推广应用。

A THREE-DIMENSIONAL SLOPE STABILITY ANALYSIS PROCEDURE BASED ON MORGENSTERN-PRICE METHOD

In most cases，the slip surface is a 3D surface in practical engineering. Therefore，it is not in accord with the practical condition to study the slope stability by using the traditional 2D analysis method. The Morgenstern-Price limit equilibrium method，which is the most rigorous method of 2D slope stability analysis，is developed and introduced to the 3D slope stability analysis. Through the assumptions similar to Morgenstern-Price method on slice forces，a new approach to three-dimensional slope stability analysis，the three-dimensional limit equilibrium method based on Morgenstern-Price method，is established. Two examples are given to verify the proposed method. Comparing with several other 3D slope stability analysis methods，the proposed method is more reliable and the proposed mechanical model is more rigorous. Furthermore，the proposed calculation formula is simple and easily to be programmed. The proposed 3D slope stability analysis method can be widely used by geotechnical engineers in the design of slopes and treatment of landsides.