Most of previous analyses on the active earth pressure were performed in two‐dimensional cases using the Mohr‐Coulomb (M‐C) failure function to describe the soil strength. However, all failures of retained slopes indicate a somewhat three‐dimensional (3D) feature, and the M‐C function is found to overestimate the tensile strength of cohesive soil. In this work, a kinematic limit analysis–based approach is developed for computing the 3D active earth pressure resulting from cohesive backfills. The concept of tensile strength cutoff is adopted to implement the reduction or elimination of tensile strength from the strength envelope. An extended 3D horn failure mechanism that is associated with the modified strength envelope is developed to characterize the collapse of retained slopes. The resultant of active earth pressure is evaluated from the work rate balance equation and expressed as an unfactored coefficient. The obtained results indicate that less support provided by the wall is required when allowing the existence of soil cohesion and 3D effects and that eliminating the tensile strength can observably increase the active earth pressure, especially for the backfill with a great level of cohesion.

中文翻译：

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粘性回填的三维主动土压力，具有抗拉强度截止

以前的大多数活动土压力分析都是在二维情况下使用莫尔-库仑（MC）破坏函数描述土壤强度的。但是，所有保留坡度的破坏都表明具有某种三维（3D）特征，并且发现MC函数高估了粘性土的抗拉强度。在这项工作中，开发了一种基于运动极限分析的方法来计算由粘性回填产生的3D主动土压力。拉伸强度截止的概念用来降低或消除强度包络线中的拉伸强度。开发了与修改后的强度包络关联的扩展3D喇叭失效机制，以表征保留坡度的塌陷。主动土压力的合成值通过工作率平衡方程进行评估，并表示为未分解系数。获得的结果表明，当允许存在土壤粘聚力和3D效果时，墙所需的支撑较少，并且消除拉伸强度可以明显地增加主动土压力，尤其是对于具有高粘聚力水平的回填土而言。