Permeable pipe pile, a novel pile foundation integrating drainage and bearing functions, improves the bearing capacity of the pile foundation by accelerating the consolidation of the soil around the pile. In this study, a mathematical model is established to simulate the consolidation of surrounding clayey soils and the pile–soil interaction, where the rheological properties of the soils are described with the fractional derivative‐based Merchant model, and the impeded drainage boundary is used to simulate the pile–soil interfacial drainage boundary. Corresponding solutions for pile–soil relative displacement, skin friction, and axial force on the pile shaft are derived by means of semi‐analytical methods, and they are validated by comparing with experimental results and numerical simulation results. Based on the proposed semi‐analytical model, a series of parametric analyses are conducted to investigate the influences of fractional orders, viscosity coefficients, pile–soil interface parameters, and pile‐head loads on the pile–soil interaction characteristics. It is observed that during the transition stage, the axial force increases linearly with depth in the plastic segment, and then increases nonlinearly in the elastic segment until it decreases after reaching the neutral plane. In the elastic segment, the axial force on the pile shaft for a given time increases with the increases in the fractional order or the pile–soil interface parameter, but decreases with the increase of viscosity coefficient.

中文翻译：

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粘土流变固结作用下透水管桩-土相互作用的半分析研究


透水管桩是一种集排水和承载功能于一体的新型桩基，通过加速桩周围土体的固结来提高桩基的承载力。在这项研究中，建立了一个数学模型来模拟周围粘土的固结和桩-土相互作用，其中土壤的流变特性用基于分数导数的 Merchant 模型描述，受阻的排水边界用于模拟桩-土界面排水边界。通过半分析方法推导出桩-土相对位移、蒙皮摩擦和桩轴轴力的相应解，并通过与实验结果和数值模拟结果的比较来验证它们。基于所提出的半解析模型，进行了一系列参数分析，以研究分数阶、粘度系数、桩-土界面参数和桩头载荷对桩-土相互作用特性的影响。据观察，在过渡阶段，轴向力在塑性段中随深度线性增加，然后在弹性段中非线性增加，直到到达中性面后减小。在弹性段中，在给定时间内，桩轴上的轴向力随着分数阶或桩-土界面参数的增加而增加，但随着黏度系数的增加而减小。