A frequently overlooked aspect in previous research on bearing capacity of reinforced foundations is the prevalent unsaturated properties of soils. This paper provides an analytical framework for evaluating the bearing capacity of strip footings with single-layer and double-layer reinforcement in unsaturated soils. Four classical nonlinear expressions are used to determine the additional cohesion induced by matric suction. Solutions for the reinforcement layer undergoing tensile failure and sliding failure are provided separately. In the former case, where the bearing capacity depends on the reinforcement's tensile strength, the Prandtl mechanism is employed. In the latter case, where the bearing capacity is influenced by the characteristics of the reinforcement-soil interface, a multi-block mechanism is adopted. Additionally, sliding failure exhibits different mechanisms depending on the reinforcement's embedded depth. By comparing the results of different failure mechanisms, accurate upper bound solutions for bearing capacity are obtained. In the case of sliding failure, the optimal reinforcement depths that maximize the bearing capacity are identified for both single-layer and double-layer reinforcement. To facilitate engineering use, the optimum depths and corresponding bearing capacity factors are given in tabular form. The effectiveness of the framework is demonstrated through comparisons with previous theories, experiments, and finite element simulation results.

中文翻译：

---

使用上限法用分层土工格栅板加固的非饱和土中条形基础的承载力


在以前关于加固地基承载力的研究中，一个经常被忽视的方面是土壤普遍存在的非饱和特性。本文为评价非饱和土中单层和双层加固条形地基的承载力提供了一个分析框架。四个经典的非线性表达式用于确定矩阵吸力诱导的附加内聚力。钢筋层发生拉伸破坏和滑动破坏的解决方案分别提供。在前一种情况下，承载能力取决于钢筋的抗拉强度，采用 Prandtl 机构。在后一种情况下，如果承载力受钢筋-土界面特性的影响，则采用多块机构。此外，滑动破坏表现出不同的机制，具体取决于钢筋的嵌入深度。通过比较不同失效机理的结果，得到准确的承载力上限解。在滑动破坏的情况下，为单层和双层加固确定了最大化承载力的最佳加固深度。为了便于工程使用，以表格形式给出了最佳深度和相应的承载力系数。通过与以前的理论、实验和有限元仿真结果的比较，证明了该框架的有效性。