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墙后塑性区的临界深度问题一直没有得到很好解决,传统计算公式仅适用于一些特殊情况。基于极限平衡理论,视墙后填土为服从Mohr-Coulomb屈服准则的理想弹塑性材料,假定塑性区的一族滑移线为直线即平面滑裂面,提出弹性覆盖层取代传统的张拉裂缝,建立了较为完善的滑楔分析模型,采用极限平衡法推导了在一般情况下的塑性临界压力、临界深度以及塑性区可能最大深度的解析解。计算结果表明,塑性临界深度的解析解与目前文献采用迭代计算的结果完全一致,传统计算公式是该解析解的一个特例。
The critical depth of the plastic zone behind the wall has not been well solved, the traditional formula is only suitable for some special cases. Based on the theory of limit equilibrium, the backfill wall is an ideal elastic-plastic material which obeys the Mohr-Coulomb yield criterion. Assuming that a family of slip line in the plastic zone is a linear or plane slip surface, the elastic covering layer is proposed to replace the traditional tension- Established a relatively perfect sliding wedge analysis model, and deduced the analytical solution of the plastic critical pressure, the critical depth and the maximum possible depth of the plastic zone by using the limit equilibrium method. The calculation results show that the analytical solution of the critical depth of plasticity is completely consistent with the current literature using iterative calculation. The traditional calculation formula is a special case of this analytical solution.