Abstract This work presents a probabilistic analysis of three-dimensional (3D) seismic active earth pressures acting on rigid retaining walls that are designed to support cohesive-frictional soil masses. The analysis is implemented using sparse polynomial chaos expansions (SPCE) to represent the physical model responses. The deterministic evaluation of 3D seismic active earth pressures is conducted with the application of the kinematic approach of limit analysis combined with a pseudo-static method. All of the input parameters are deemed as random variables. After the SPCE metamodels are determined, the method of Monte Carle simulations is applied to perform the probabilistic analysis of 3D seismic active earth pressures. The effects of uncertainty levels and correlation relationships of input parameters are investigated. Several illustrative examples of the reliability-based design of retaining walls are shown. Results indicate that uncertainties in input parameters possess a notable effect on 3D seismic active earth pressures, suggesting the need to investigate the problem from a stochastic perspective. In most cases, the soil cohesion, internal friction angle, and seismic coefficient are found to be three of the parameters that affect the final response the most significantly. It is also indicated that considering 3D effects and soil cohesion has a favorable effect on increasing the stability of retained slopes.

中文翻译：

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使用稀疏多项式混沌展开法对三维地震活动土压力进行概率评估

摘要 这项工作对作用在刚性挡土墙上的三维 (3D) 地震活动土压力进行了概率分析，这些挡土墙旨在支撑粘性摩擦土体。该分析使用稀疏多项式混沌展开 (SPCE) 来表示物理模型响应。3D地震活动土压力的确定性评估是通过应用极限分析的运动学方法结合拟静力方法进行的。所有输入参数都被视为随机变量。确定SPCE元模型后，应用蒙特卡尔模拟方法对3D地震活动土压力进行概率分析。研究了不确定性水平的影响和输入参数的相关关系。展示了几个基于可靠性的挡土墙设计示例。结果表明，输入参数的不确定性对 3D 地震活动土压力具有显着影响，这表明需要从随机角度研究该问题。在大多数情况下，土壤黏聚力、内摩擦角和地震系数被认为是对最终响应影响最大的三个参数。还表明，考虑3D效应和土壤黏聚力对增加保留边坡的稳定性有有利的影响。表明需要从随机角度调查问题。在大多数情况下，土壤黏聚力、内摩擦角和地震系数被认为是对最终响应影响最大的三个参数。还表明，考虑3D效应和土壤黏聚力对增加保留边坡的稳定性有有利的影响。表明需要从随机角度调查问题。在大多数情况下，土壤黏聚力、内摩擦角和地震系数被认为是对最终响应影响最大的三个参数。还表明，考虑3D效应和土壤黏聚力对增加保留边坡的稳定性有有利的影响。