岩土与地下工程 2026年 第卷 第04期

DOI: 10.7672 / sgjs2026040099

考虑剪切变形协调的极限平衡法理论与应用

王安礼¹,孙瑞峰²,焦海明²,张亚³,李晨³,徐江¹

作者简介：

王安礼，博士，高级工程师， E⁃mail: wanganli _ gzslsd @126. com

作者单位：

1.贵州省水利水电勘测设计研究院股份有限公司，贵州贵阳 550002;2.中铁十七局集团城市建设有限公司，贵州贵阳 550029;3.贵州省水利科学研究院，贵州贵阳 550002

基金项目：

∗贵州省水利科技项目（KT202408）；贵州省交通运输厅科技项目（2023⁃1253⁃0735）

摘要：

通过引入材料变形特性，对传统极限平衡法进行了理论完善。基于对条间剪力与条块变形趋势的分析，提出考虑变形协调的条间力假设，进而推导出基于剪切变形协调的条间力及条底力的求解公式，并建立相应的安全系数计算方法。理论分析表明，在剪切变形协调条件下，弹性滑体纵断面剪力与剪切模量加权平均值、滑面曲率、水平位移及滑体厚度成正比。算例计算结果证明了该方法的可靠性。
边坡；稳定性；极限平衡法；变形协调；安全系数

English：

By incorporating material deformation characteristics, theoretical enhancements have beenmade to the traditional limit equilibrium method. Based on an analysis of inter⁃slice shear forces anddeformation tendencies of slices, an inter⁃slice force assumption that accounts for deformationcompatibility is proposed. Subsequently, formulas for solving inter⁃slice forces and base forces based onshear deformation compatibility are derived, and a corresponding method for calculating the safety factoris established. Theoretical analysis indicates that under the condition of shear deformation compatibility,the shear force on a vertical cross⁃section of an elastic sliding body is proportional to the weighted averageof the shear modulus, the curvature of the sliding surface, the horizontal displacement, and the thicknessof the sliding body. Calculation results from a case study demonstrate the reliability of the proposedmethod.