Abstract Tunnels in urban areas typically have complex geological conditions, and sufficient support pressure is necessary to guarantee the safety of tunnel excavations and prevent damage to adjacent structures. In this study, the slip line method is employed to obtain the limit support pressure on the tunnel face and analyze the effects of the internal friction angle, cohesion of the soil, interface friction angle, cover layer thickness and tunnel construction line slope on tunnel face stability. The soil is idealized as a rigid plastic material. The slip line method assumes that the soil satisfies the plastic equilibrium state specified by the Mohr-Coulomb criterion. Moreover, a mathematical model of the static equilibrium with a solvable limit equilibrium boundary is established. The limit support pressure distribution and failure mechanism of the tunnel face are obtained by the finite difference method. The results show that the limit support pressure decreases when the internal friction angle and cohesion of the soil increase, whereas limit support pressure increases when the interface friction angle increases. When comparing the derived results with those found in related references, it is observed that the slip line method for calculating the limit support pressure on the tunnel face is reliable. Furthermore, it is particularly suitable when the interface friction angle and tunnel construction line slope are considered.

中文翻译：

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滑移线法限制不同施工线坡度下掌子面支护压力

摘要 城市地区隧道地质条件复杂，需要足够的支护压力来保证隧道开挖的安全，防止对相邻结构的破坏。本研究采用滑移线法获取掌子面极限支护压力，分析内摩擦角、土体黏聚力、界面摩擦角、覆盖层厚度和隧道施工线坡度对掌子面的影响。稳定。土壤被理想化为刚性塑料材料。滑移线法假设土满足由 Mohr-Coulomb 准则指定的塑性平衡状态。此外，还建立了具有可解极限平衡边界的静态平衡的数学模型。采用有限差分法得到掌子面极限支护压力分布及破坏机理。结果表明，随着土壤内摩擦角和黏聚力的增加，极限支撑压力减小，而当界面摩擦角增大时，极限支撑压力增大。将推导结果与相关文献中的结果进行比较，发现滑移线法计算掌子面极限支护压力是可靠的。此外，特别适用于考虑界面摩擦角和隧道施工线坡度的情况。而当界面摩擦角增大时，极限支撑压力增大。将推导结果与相关文献中的结果进行比较，发现滑移线法计算掌子面极限支护压力是可靠的。此外，特别适用于考虑界面摩擦角和隧道施工线坡度的情况。而当界面摩擦角增大时，极限支撑压力增大。将推导结果与相关文献中的结果进行比较，发现滑移线法计算掌子面极限支护压力是可靠的。此外，特别适用于考虑界面摩擦角和隧道施工线坡度的情况。