基于Zienkiewicz-Pande 准则的隧道/巷道围岩弹塑性分析

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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。

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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

Abstract： 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.

Keywords： Zienkiewicz-Pande criterion , Surrounding rock in a tunnel/roadway , Elasto-plastic analysis , Intermediate principal stress

基金资助:

1 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)

2 国家自然科学基金(51474006)

作者简介: 张瀚(1987-)，男，硕士研究生，助教，从事采矿工程、岩石力学方面的研究工作， E-mail:zhanghan870502@163.com

引用本文:

.基于Zienkiewicz-Pande 准则的隧道/巷道围岩弹塑性分析[J] 现代隧道技术, 2015,V52(2): 30-35

.Elasto-Plastic Analysis of the Surrounding Rock of a Tunnel/Roadway Based on the Zienkiewicz-Pande Criterion[J] MODERN TUNNELLING TECHNOLOGY, 2015,V52(2): 30-35

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