Research On Slope Stability Analysis Using The Principle Of Minimum Potential Energy

Mauldon and Ureta used the Principle of Minimum Potential Energy to analyze the stability of rock prism. Based on their work, from the point of view of the energy, this paper proposed a new method to analyze common slopes' stability, and made a research of software develoment on slope's stability. The specific work including:1. Validated the rocky prism model that proposed by Mauldon and Ureta. Used the two methods that proposed by Hoek and Mauldon and calculated wedge slope, which has two sides, the results showed that those two methods are the same.2. Based on Mauldon's work, calculated the formula under the two-dimensional situation. According to the define of the factor of stability and moment balance theory, calculated the factor of stability of simple slope, and on the base of which, proposed the factor of stability formula of all kinds of materials slope. For non-circle slippage, proposed the factor of stability formula according to power balance.3. Compared all kinds of two-dimension limit equilibrium methods and two-dimension the Principle of Minimum Potential Energy methods. By calculating a lot of examples, the results indicated that the Principle of Minimum Potential Energy method and strict spencer methods' errors within 3%.4. Based on two-dimension method, proposed slope stability analyze formula under the three-dimension by applying the Principle of Minimum Potential Energy, and validated the three-dimension method by some examples.5. Developed the antitype of slope stability analyze software MPE. This antitype has perfect preprocess function. To analyze stability by using the methods which proposed in this paper and Fellenius method. It has the function that scouts the more dangerous slippage automatically, and some other functions those can be accessed easily.6. During the development of the antitype, proposed a new calculation to seek anomalous area overlapping.7. Check the software antitype by using ACADS examination questions.8. Applying the method, which proposed in this paper, analyzed the stability of the XiYuanLing slope.