基于最小势能原理的三维边坡稳定性分析

doi:10.13722/j.cnki.jrme.2014.0627

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Abstract Through defining central sliding surface to determine the direction of shear on slip surface ，and considering the shear potential energy of slip surface，a three-dimensional stability analytical method is put forward for the homogeneous slope with arbitrary sliding surface based on the principle of minimum potential energy. Firstly，taking the sliding body as a whole，the three-dimensional potential energy functions is established. The sliding body virtual displacement can be determined by using the principle of minimum potential energy. Secondly，the normal force and the limit sliding resistance on slip surface is determined based on the relationship between force and displacement. Then the safety factor can be obtained on the basis of its definition model. Compared with the classic examples，it indicates that：the safety factors are in good agreement with that of the three-dimensional limit equilibrium methods；the shear potential energy of slip surface has some influence on the safety factor. Finally，the application of engineering example shows that the method has good practical value.In a word，the method is no need to partition strips and iterate，so the process of this method is simple and easy to use in practical engineering projects.

Key words： slope engineering three-dimensional slope stability analysis minimum potential energy principle shear potential energy

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http://www.rockmech.org/EN/10.13722/j.cnki.jrme.2014.0627 OR http://www.rockmech.org/EN/Y2015/V34/Is1/3298

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