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

  • 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。

     

    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.

     

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