双向等压圆形巷道塑性区径向位移时变解求解及岩爆防治分析  

Time-varying radial displacement solution in the plastic zone of the circular roadway under constant biaxial stress and analysis of rockburst prevention

作　　者：樊宝杰 赵伏军 吴秋红 刘永宏 王斌 FAN Baojie;ZHAO Fujun;WU Qiuhong;LIU Yonghong;WANG Bin(School of Resources&Environment and Safety Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;Hunan Institute of City Geological Survey and Monitoring,Changsha 410000,China)

机构地区：[1]湖南科技大学资源环境与安全工程学院,湖南湘潭411201 [2]湖南省城市地质调查监测所,湖南长沙410000

出　　处：《水资源与水工程学报》2022年第1期184-189,198,共7页Journal of Water Resources and Water Engineering

基　　金：国家自然科学基金项目(51674116、51904101);湖南省自然科学基金项目(2020JJ4311、2020JJ5188)。

摘　　要：采用时变理论,分析了圆形巷道在双向等压载荷作用下围岩弹性区和塑性区随时间变化的力学过程。通过建立圆形巷道平面应变模型,采用弹性区和塑性区双线性本构方程,求解得到了巷道的弹性时变解、弹塑性时变解、塑性区径向位移时变解。结果表明:塑性区边界移动速率较大时,塑性区内岩体径向位移随时间而增大;巷道半径越大,则相同时刻塑性区内岩体径向位移越大。岩爆的时间效应实质上是围岩塑性区径向位移达到了临界塑性软化深度,为防治岩爆的发生,应尽量减小塑性区径向位移。塑性区径向位移的时变解对于岩爆的防治提供了新思路。The mechanical process of the elastic and plastic zone of the surrounding rock that change over time under the action of constant biaxial stress load is analyzed using the time-varying theory.A plane strain model of the circular roadway is established to obtain the elastic time-varying solution,elastoplastic time-varying solution and time-varying radial displacement solution in the plastic zone using the bilinear constitutive equations of the elastic zone and plastic zone.The results show that when the boundary movement rate of the plastic zone was relatively large,the radial displacement in the plastic zone increased with time.The larger the roadway radius,the greater the radial displacement in the plastic zone at the same moment.In essence,the time effect of rockburst is that the radial displacement in the plastic zone of the surrounding rock reaches the critical softening depth.To prevent the rockburst,the radial displacement of the plastic zone should be reduced as far as possible.The time-varying radial displacement solution in the plastic zone provides a new idea for the prevention and control of rockbursts.

关 键 词：时变力学 双向等压圆形巷道 弹塑性时变解 径向位移时变解 岩爆防治 

分 类 号：TV31[水利工程—水工结构工程]