基于Mogi-Coulomb强度准则的竖井井壁土压力广义解  

Generalized solution of earth pressure for shaft wall based on Mogi-Coulomb strength criterion

作　　者：曹周阳 关晓迪 朱勇锋 马迪 窦国涛 CAO Zhou-yang;GUAN Xiao-di;ZHU Yong-feng;MA Di;DOU Guo-tao(School of Civil Engineering and Architecture,Zhengzhou University of Aeronautics,Zhengzhou 450046,Henan,China;School of Civil Engineering and Architecture,Xi’an University of Technology,Xi’an 710048,Shaanxi,China;School of Geological Engineering and Geomatics,Chang’an University,Xi’an 710061,Shaanxi,China)

机构地区：[1]郑州航空工业管理学院土木建筑学院,河南郑州450046 [2]西安理工大学土木建筑工程学院,陕西西安710048 [3]长安大学地质工程与测绘学院,陕西西安710061

出　　处：《地基处理》2022年第5期387-393,407,共8页Journal of Ground Improvement

基　　金：河南省科技攻关项目(212102310967)。

摘　　要：为了解决在工程中采用基于哈尔-卡门假定的别林赞茨叶夫主动土压力偏危险的问题,引入一个环向压应力系数,对上述假定进行修正,通过对竖井围岩进行弹塑性分析,推导了竖井围岩的空间主动土压力解析解。分析表明,中间主应力系数b=0.1、0.2、0.3、0.4和0.5时竖井井壁空间主动土压力较b=0或1.0时分别减小23.0%、42.6%、57.7%、67.2%和70.5%,随着b值的增大,竖井围岩拉张区开裂深度增大;随着环向压应力系数ζ的减小,竖井井壁空间主动土压力分别增大29.4%、65.2%、109.2%和163.3%,随着ζ值的减小,竖井围岩拉张区开裂深度随之减小。通过将本文推导的空间土压力与平面应变条件下的朗肯土压力进行对比发现,不同工况下本文空间主动土压力较朗肯土压力约减小33%~86%,因此,在工程中采用朗肯土压力偏保守而造成井壁支护材料的浪费。In order to solve the problem that it is dangerous to adopt Belinzantzev’s active earth pressure based on the HalKamen assumption in engineering,a hoop compressive stress coefficient is introduced to revise the above assumption.Through the elastic-plastic analysis of the surrounding rock of the shaft,the analytical solution of the spatial active earth pressure is deduced.The analyses show that when the intermediate principal stress coefficient b=0.1,0.2,0.3,0.4 and 0.5,the active earth pressure of shaft wall is reduced by 23.0%,42.6%,57.7%,67.2%and 70.5%respectively,compared with b=0 or 1.0.With the increase of b value,the cracking depth of the surrounding rock tension zone of the shaft increases.With the decrease of hoop compressive stress coefficientζ,the spatial active earth pressure of shaft wall increases by 29.4%,65.2%,109.2%and 163.3%,respectively.With the decrease ofζvalue,the cracking depth in the tension zone of surrounding rock of the shaft decreases.By comparing the spatial earth pressure deduced in this paper with the Rankine earth pressure under plane strain conditions,it is found that the spatial active earth pressure in this paper is about 33%-86%lower than the Rankine active earth pressure under different working conditions.Therefore,the use of Rankine earth pressure in the project is conservative,resulting in a waste of well wall support materials.

关 键 词：轴对称 竖井 中间主应力 环向压应力系数 空间主动土压力 拉张区 环形土拱效应 

分 类 号：TU41[建筑科学—岩土工程]