普氏压力拱理论的局限性

On the Limitations of Protodyakonov's Pressure Arch Theory

  • 摘要: 普氏压力拱理论一直是我国隧道与地下工程设计的力学基础,但学界和工程界对此也有一定质疑,文章试图对此做些探索,以便澄清概念。通过应用有限元极限分析中的强度折减法和模型试验方法,分析了普氏压力拱的真实含意和形成条件,研究了洞跨、围岩强度与压力拱自稳的关系,研究了不同埋深条件下隧洞的破坏机理。结果表明:压力拱理论只在矩形和拱顶平缓以及围岩稳定且埋深不大的隧洞中才能成立;拱形隧洞不会形成压力拱;围岩强度太低,隧洞跨度太大,不会形成自稳的压力拱;围岩稳定性好,隧洞不会破坏,也不会形成压力拱;隧洞埋深较大时,两侧首先发生破坏,压力拱理论不起作用。

     

    Abstract: Protodyakonov′s pressure arch theory has been a mechanical basis for the design of tunnels and underground works in China, but it has been questioned to some extent by academic and engineering fields. This paper analyzes the real meanings and formation conditions of a pressure arch using the FEM strength reduction method and a model test, researches the relationships among tunnel span, rock mass strength and pressure arch self-stability, and discusses the failure mechanism of tunnels under different buried depths. The results show that: 1) the pressure arch theory is only applicable to rectangular or gentle-vault tunnels with stable surrounding rocks and a shallow buried depth; 2) a pressure arch will not occur in an arched tunnel; 3) a self-stable pressure arch will not occur under very low rock strength and a too large tunnel span; 4) a pressure arch and tunnel failure will not occur in a tunnel with stable surrounding rock; 5) for a tunnel with a great buried depth, the failure first occurs on both sides, so the pressure arch theory is not applicable

     

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