基于Zienkiewicz-Pande准则的隧道/巷道围岩弹塑性分析  

Elasto-Plastic Analysis of the Surrounding Rock of a Tunnel/ Roadway Based on the Zienkiewicz-Pande Criterion

作　　者：张瀚[1,2] 李英明[1,3] 任方涛 杨明东[3] 

机构地区：[1]黑龙江科技大学黑龙江省煤矿深部开采地压控制与瓦斯治理重点实验室,哈尔滨150027 [2]运城职业技术学院,运城044000 [3]安徽理工大学煤矿安全高效开采省部共建教育部重点实验室,淮南232001

出　　处：《现代隧道技术》2015年第2期30-35,共6页Modern Tunnelling Technology

基　　金：黑龙江省煤矿深部开采地压控制与瓦斯治理重点实验室开放基金资助项目(F2313-05);国家自然科学基金(51474006)

摘　　要：Zienkiewicz-Pande准则是Mohr-Coulomb准则的改进。文章基于Zienkiewicz-Pande屈服准则,考虑中间主应力作用的影响,通过结合平衡方程推导出了隧道/巷道围岩弹塑性应力、塑性区半径及位移的解析解。在此基础之上给出了具体算例,分析了中间主应力对Zienkiewicz-Pande准则解的影响,最终分别基于Zienkiewicz-Pande准则和Mohr-Coulomb准则对塑性区半径和围岩应力分布进行对比分析。研究结果表明,Zienkiewicz-Pande准则适用于隧道/巷道围岩的弹塑性分析,合理地选用Zienkiewicz-Pande准则对于工程实践具有较大的参考价值。In this paper, based on the Zienkiewicz-Pande criterion, which is a modification of the Mohr- Coulomb criterion, and considering the effects of intermediate principal stress, analytic solutions for the elastic- plastic stress of the surrounding rock of a tunnel/roadway, as well as the radius and displacement of the plastic zone, are deduced using an equilibrium equation. The influence of the intermediate principal stress on the Zienkiewicz-Pande criterion solution is analyzed through a given example, and the plastic zone radius and the distribution of surrounding rock stress are analyzed based on the Zienkiewicz-Pande and Mohr-Coulomb criterions, respectively, showing that the Zienkiewicz-Pande criterion is applicable to the elasto-plastic analysis of the surrounding rock in a tunnel/roadway.

关 键 词：Zienkiewicz-Pande屈服准则 隧道/巷道围岩 弹塑性分析 中间主应力 

分 类 号：U451[建筑科学—桥梁与隧道工程] TU452[交通运输工程—道路与铁道工程]