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<p>The reliability of limit equilibrium slope stability analysis depends critically on the construction of an appropriate slip surface model. Conventional regular-geometry surfaces often fail to represent complex failure mechanisms, whereas fully random surfaces can produce kinematically inadmissible shapes and low computational efficiency. To balance physical realism and practicality, this study proposes a slip surface construction method based on a Taylor-series-derived random polar angle increment function, with morphological variability constrained by physically motivated end conditions. An improved tensile-shear strength criterion is incorporated into a stress-based limit equilibrium framework, thereby coupling slip surface morphology, stress distribution, and strength parameters. A genetic algorithm is then employed to optimize the polar angle increment function and efficiently identify the critical slip surface. Numerical examples and engineering case studies demonstrate that the proposed method achieves high geometric flexibility with a small number of controlling parameters, captures complex slope failure mechanisms, and provides a reliable and practical tool for slope engineering applications.</p>

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A novel framework for generalized potential slip surfaces in complex slopes using polar angle incrementation

  • 期刊论文

  • 发表日期：

    2026年7月18日

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  • Dong-ping Deng,
  • Run-dong Xu,
  • Yi-hang Peng,
  • Chao-fan Zhu

摘要

The reliability of limit equilibrium slope stability analysis depends critically on the construction of an appropriate slip surface model. Conventional regular-geometry surfaces often fail to represent complex failure mechanisms, whereas fully random surfaces can produce kinematically inadmissible shapes and low computational efficiency. To balance physical realism and practicality, this study proposes a slip surface construction method based on a Taylor-series-derived random polar angle increment function, with morphological variability constrained by physically motivated end conditions. An improved tensile-shear strength criterion is incorporated into a stress-based limit equilibrium framework, thereby coupling slip surface morphology, stress distribution, and strength parameters. A genetic algorithm is then employed to optimize the polar angle increment function and efficiently identify the critical slip surface. Numerical examples and engineering case studies demonstrate that the proposed method achieves high geometric flexibility with a small number of controlling parameters, captures complex slope failure mechanisms, and provides a reliable and practical tool for slope engineering applications.