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中文摘要：
边坡潜在破裂面的确定与稳定性判识一直是岩土工程界研究的热点问题。将边坡潜在破裂面看成是由若干段组合而成的复合破裂面，并沿各段将边坡垂直条分为多块体，在假设边坡岩土体服从摩尔一库仑屈服准则条件下，根据极限分析上限定理，分别计算各块体外功率与内能耗散，并建立边坡稳定系数的多元函数。利用数学优化方法给出边坡稳定系数的最优解，可以方便地给出边坡潜在破裂面形状及其对应的边坡稳定系数。通过算例分析并与前人研究成果比较，结果表明：理论方法是合理有效的，可以用于边坡潜在破裂面的确定与稳定性判识。
英文摘要：
The stability discriminant of slopes and the position determination of potential sliding surfaces are always the research hot spots in geotechnical engineering. According to the upper bound method, and assuming the slope material obeys Mohr-Coulomn criterion, the internal and external works are calculated respectively by dividing slope body into blocks with regarding the potential sliding surface as a group of several sectional planes. Then the multivariate function to calculation critical height of slope is established and optimized by mathematical method, which is determined to the critical height and sliding surface shape. Through the example analysis and comparison with the previous research, the results show that the method in this paper is reasonable and effective, and can be used to determine the potential sliding surface and discriminate slope stability
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