| Landslide is a major geographical disaster frequently happened, which influences human survival and development and has already become one of three major calamities as earthquake, volcano. Landslide is more than a threat to people's lives and property, it also damages the environment and resources. Therefore, study on landslide disaster and research of how to reduce landslide disaster has become an important subject in the slope engineering. The reasonable landslide control measures depend on the correct evaluation of slope stability. So the research of slope stability has important theoretical and practical significances.For the slope stability analysis, Pan Jia Zheng put forward two principles of soil and rock slopes: 1) Among all possible slip surfaces, the real one offers the minimum resistance against failure (principle of minimum); and; 2) For a specified slip surface, the stress in the failure mass as well as on the slip surface will be reorganized to develop the maximum resistance against failure (principle of maximum). On the basis of the global analysis procedure and Pan's maximum principle on the stability analysis of slopes, a nonlinear optimum model is set up for calculating the factor of safety on a given slip surface. The optimization method is used to achieve the rigorous limit equilibrium. Compared with other optimum models, the proposed model has weaker nonlinearity, enjoys a large scope of convergence, and can be solved by means of the conventional optimization algorithms.The results from some examples show that, for smooth slip surface, whether the slope is homogeneous or not, the optimization model can easily find out the solution that meets the relevant constraints. As for non-smooth slip surfaces, in most cases, rather satisfactory results can be obtained as well. Meanwhile, Comparasions with the classical methods of slices are made and it is proved that the factor of safety calculated by the proposed procedure is correct.
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