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| A new method of stability analysis of slope—theoretical solutions based on small deformation |
| LU Yingfa1, YANG Hao1, LU Lier2, CHEN Weizhong2, WANG Jin1 |
(1. School of Civil Engineering and Environment, Hubei University of Technology, Wuhan, Hubei 430068, China;
2. Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430074, China)
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Abstract Based on a detailed analysis of boundary conditions, twelve types of boundary conditions for slope stability analysis were proposed. A novel method for evaluating slope stability, utilizing the fundamental theories of small deformation, was introduced. The theoretical solutions for stress distributions within the sliding body can be derived when the stress balance differential equation, coordination equation, macroscopic force balance, torque balance, and force boundary conditions for each element are satisfied. Additionally, the stress continuity conditions between elements can also be met. To facilitate comparisons between the proposed theoretical results and those obtained using the finite element method (FEM), the linear elastic Hooke’s law was employed to derive the strain solutions for the sliding body. A point failure criterion was suggested to calibrate the stress state of the sliding body at each point. Using the Daochi Township landslide in Enshizhou, Hubei Province, as a case study, comparisons were made between the results obtained through FEM and those derived from the proposed theoretical method, demonstrating the feasibility of the latter. This proposed method establishes a comparative foundation for current computational results. The theoretical solutions obtained can be presented in Excel format, ensuring clarity and traceability.
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2025, Vol. 44 
