【摘要】 在对边坡边界条件分析的基础上，提出12种边坡边界条件。基于小变形理论特点，提出一种计算边坡稳定性分析新方法（小变形理论解法），针对滑坡体：（1）在满足应力平衡微分方程、协调方程、宏观力平衡、力矩平衡和力边界条件下，获得滑坡体每个单元每点的应力分布理论解，在单元与单元交界面之间满足应力连续条件；为了与有限单元法计算结果进行比较，应用线弹性虎克本构方程，获得坡体的应变解；（2）提出滑坡点破坏判定准则，以判定每点的应力状态。以湖北省恩施州稻池乡滑坡为例，将有限单元法计算结果与本文方法加以对比，其偏差较小，表明该方法是可行的。本文方法能为现行计算结果提供一种比较依据，获得的理论解能用Excel形式表示，清晰、可查。更多还原

【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.更多还原