Improved radial movement optimization to determine the critical failure surface for slope stability analysis

  • Liangxing JinEmail author
  • Qixuan Feng
Original Article


Slope stability analysis usually requires the determination of the critical failure surface. In this paper, a new global optimization algorithm, based on radial movement optimization, is proposed to search the non-circular critical failure surface of a slope. Factors of safety of the slip surfaces are determined using the Spencer method. Nonlinear equations from the Spencer method are solved using the Newton–Raphson method. The data structure of the radial movement algorithm is further optimized to overcome the instability and inaccuracy of the original method. By considering the self-feedback of the particles, the particle swarm can inherit the information of its own particles. The proposed method is validated by examples taken from the literature. The results show that the improved radial movement optimization algorithm can be successfully applied to slope stability analysis, and it has better performance than other global optimization algorithms.


Slope stability Non-circular critical failure surface Improved radial movement optimization Factor of safety 



This research was funded by the Fundamental Research Funds for the Central Universities of Central South University (No. 2018zzts674).


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Civil EngineeringCentral South UniversityChangshaPeople’s Republic of China

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