Rock and Soil Mechanics ›› 2020, Vol. 41 ›› Issue (S1): 255-263.doi: 10.16285/j.rsm.2019.1252

• Geotechnical Engineering • Previous Articles     Next Articles

A method for constructing and searching three-dimensional arbitrary slip surface based on minimum potential energy

SUN Zi-li1, 2, WEN Shu-jie1, 2, LIANG Chao1, 2, XIAO Hao1, 2   

  1. The actual slip surface shape of the side slope has the three-dimensional and arbitrary characteristics. Thus a three- dimensional arbitrary-shaped slip surface construction method for side slope controlled by 8 parameters is proposed in this paper. Firstly, two sets of spatial line segments with different dip angles and lengths are randomly generated, which are sequentially connected to form a reference line and a slip line respectively. Then, the lowest point of the slip line is set as the base point, the datum line is set as the trajectory, and a three-dimensional arbitrary-shaped slip surface is generated by moving the slip line. The safety factor based on the minimum potential energy method is calculated, and the objective function with 8 structural parameters as variables is determined by collecting the sliding body data. The genetic algorithm is used to search for the optimal value of each parameter, so as to obtain the minimum safety factor and the corresponding critical slip surface. Meanwhile the search software is developed for practical applications. In order to prove the rationality of the construction and search method, it is verified by comparing with the results obtained by Janbu method and an indoor model test. The results show that a much smaller safety factor of the critical slip surface is obtained and the morphology of the slip surface is close to the reality. It is basically consistent with the results of indoor model tests for the critical slide surface. The minimum safety factor is close to 1.
  • Received:2018-07-17 Revised:2019-10-19 Online:2020-06-19 Published:2020-06-09

Abstract: slide slope; three-dimensional arbitrary slip surface; minimum potential energy method; genetic search; software development

Key words: 国家自然科学基金项目(No.51304084), 江西省研究生创新专项资金(No.YC2018-S306), 江西理工大学青年英才支持计划(2016年)。

CLC Number: 

  • This work was supported by the National Natural Science Foundation of China(51304084)
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