应用数学和力学2025，Vol.46Issue(10)：1307-1319,13.DOI:10.21656/1000-0887.450313
考虑空间拱效应和层间剪力的圆形竖井主动土压力分析
Analysis of Active Earth Pressure on Circular Vertical Shafts Considering Arching Effects and Interlayer Shear Stresses
摘要
Abstract
The active earth pressure on circular vertical shafts with non-cohesive backfill was investigated,for a slip surface assumed as a straight line through the heel of the wall.Given the linear variation of the circumfer-ential stress coefficient along the radial direction,static equilibrium equations for the entire sliding soil mass were established with the limit equilibrium method.Then an analytical expression was formulated for the incli-nation angle of the slip surface in the active limit state of the circular vertical shaft.Subsequently,the spatial arching effects and interlayer shear stresses were incorporated,and the theoretical solution of the active earth pressure was derived based on the horizontal element analysis method.The factors influencing the active earth pressure were further analyzed and compared with existing theoretical and experimental results.The results in-dicate that,the interlayer shear force affects the distribution of the active earth pressure strength along the depth direction,and the greater of the radius to the height ratio and the wall-soil friction angle are,the more obvious the influence of the interlayer shear force will be.The calculated earth pressure value with the interlay-er shear force can provide a theoretical reference for the optimization design of the shaft structure.The findings effectively describe the trend of earth pressure increasing and then decreasing with the depth and show good a-greement with experimental and numerical simulation results.关键词
主动土压力/圆形竖井/空间拱效应/层间剪力/环向应力系数Key words
active earth pressure/circular shaft/spatial arching effect/interlayer shear stress/circumferential stress coefficient分类
土木建筑引用本文复制引用
杨帅,吕兵,李东声,刘洋,杨欢..考虑空间拱效应和层间剪力的圆形竖井主动土压力分析[J].应用数学和力学,2025,46(10):1307-1319,13.基金项目
北京市自然科学基金(8222020) （8222020）
