Theory and Application of Limit Equilibrium Method Considering Shear Deformation Compatibility
About the author:
1. Guizhou Water & Power Survey⁃design Institute Co., Ltd., Guiyang, Guizhou 550002, China;2. China Railway 17th Bureau Group Urban Construction Co., Ltd., Guiyang, Guizhou 550029, China;3. Guizhou Institute of Water Conservancy Science, Guiyang, Guizhou 550002, China
Abstract:
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.