Piled embankments have been extensively used for high-speed rail over soft soils because of their effectiveness in minimizing differential settlement and shortening the construction period. Stress concentration ratio, defined as the ratio of vertical stress carried by pile heads (or pile caps if applicable) to that by adjacent soils, is a fundamental parameter in the design of piled embankments. In view of the complicated load transfer mechanism in the framework of embankment system, this paper presents a simplified analytical solution for the stress concentration ratio of rigid pile-supported embankments. In the derivation, the effects of cushion stiffness, pile–soil interaction, and pile penetration behavior are considered and examined. A modified linearly elastic-perfectly plastic model was used to analyze the mechanical response of a rigid pile–soil system. The analytical model was verified against field data and the results of numerical simulations from the literature. According to the proposed method, the skin friction distribution, pile–soil relative displacement, location of neural point, and differential settlement between the pile head (or cap) and adjacent soils can be determined. This work serves as a fast algorithm for initial and reasonable approximation of stress concentration ratio on the design aspects of piled embankments.

由于桩状路堤可最大程度地减少差异沉降并缩短工期，因此已广泛用于软土地上的高速铁路。应力集中比，定义为桩头（或桩帽，如果适用）承受的垂直应力与相邻土壤承受的垂直应力之比，是桩基路堤设计中的基本参数。鉴于路堤系统框架中复杂的荷载传递机制，本文针对刚性桩支护路堤的应力集中比提出了一种简化的解析解。在推导中，考虑并检查了垫层刚度，桩-土相互作用和桩穿透行为的影响。修改后的线性弹性完美塑性模型用于分析刚性桩-土系统的机械响应。根据现场数据和来自文献的数值模拟结果验证了该分析模型。根据提出的方法，可以确定表皮摩擦分布，桩土相对位移，神经点的位置以及桩头（或桩盖）与邻近土壤之间的差异沉降。这项工作可作为桩基路堤设计方面应力集中比的初始和合理近似的快速算法。可以确定神经点的位置以及桩头（或桩帽）与邻近土壤之间的差异沉降。这项工作可作为桩基路堤设计方面应力集中比的初始和合理近似的快速算法。可以确定神经点的位置以及桩头（或桩帽）与邻近土壤之间的差异沉降。这项工作可作为桩基路堤设计方面应力集中比的初始和合理近似的快速算法。