考虑材料剪胀及软化的有压隧洞弹塑性分析的解析解

AN ANALYTIC SOULUTION OF ELASTO-PLASTIC PRESSURE TUNNEL CONSIDERING MATERIAL SOFTENING AND DILATANCY

  • 摘要: 基于俞茂宏统一强度理论,考虑岩土类材料的软化和剪胀特性,采用三线性材料软化模型,分析了有压隧洞围岩内的应力状态、围岩位移、洞壁位移及洞周所能承受的最大内压等。并且根据位移或内压力的大小给出围岩所处状态的判别式,已有的一些采用Mohr-Coulomb强度理论的解均为本文的特例。通过实例分析了剪胀、软化及不同强度模型对围岩状态、围岩内应力及位移和最大内压力的影响。

     

    Abstract: Based on the unified strength theory proposed by Yu, an analytical elasto-plastic solution of stresses and displacements around pressure tunnel is developed. The characteristics of softening and dilatation of geomaterial are considered and a tri-linear softening model is adopted. The discriminant equation is given on the basis of the displacement or the inner pressure. Thus, the development of plastic zones around the tunnel can be determined. It is shown that the existing solutions such as the Kastner equation, the Airey equation and so forth are the particular cases of the present solution. The influences of dilatancy, softening and different strength models on the results are studied through examples.

     

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