Nonlinear Analysis of Piles and Pile Groups in Inhomogeneous Soil evaluated through Case Histories

群桩分析的关键是建立桩与桩之间的相互作用系数，这是通过在群桩中一次只考虑两个桩来实现的。然后采用叠加法分析群桩之间的相互影响。这种方法可以替代三维的详细数值分析，节省大量的时间和设计的复杂性。这个博士学位将从经验和理论基础相结合的方法来解决这个问题。首先，将使用应用数学的各种特殊函数，针对单桩的非线性轴向响应和不同非均质土壤剖面中的相应相互作用因子，得出“t-z”乘子，从而得到封闭形式的解。将针对非均质土壤的一般情况得出简化的近似解，并与精确的封闭解进行比较。还将研究单桩和群桩在横向和扭转荷载下的响应，从而得出类似的“p-y”和“t-0”乘数。然后将结果与更严格的数值解进行比较，并根据从文献和行业来源收集的桩荷载试验结果数据库进行评估。该项目的目的是最大限度地减少桩群分析的不确定性，以节省成本和碳。这一努力符合联合王国审评委的目标。

Key to the analysis of pile groups is developing pile-to-pile interaction factors which is achieved by considering only two piles at a time within the group. Superposition is then employed to analyse the effect of all piles in the group on each other. This method acts as an alternative to a detailed numerical analysis in three dimensions that saves significant time and complexity to the design. This PhD will approach the problem from a combined empirical and theoretical basis. First, closed-form solutions will be developed using a variety of special functions of applied mathematics for the nonlinear axial response of single piles and corresponding interaction factors in different inhomogeneous soil profiles leading to "t-z" multipliers. Simplified, approximate solutions will be developed for the general case of inhomogeneous soil and compared against the exact, closed-form solutions. Single pile and pile group response under lateral and torsional loading will also be investigated leading to analogous "p-y" and "t-0" multipliers. Results will then be compared with more rigorous numerical solutions and evaluated against a database of pile load test results gathered from the literature and industry sources. The aim of this project is to minimise uncertainty in pile group analysis to provide cost and carbon savings. This effort is in line with UKCRIC objectives.