An efficient and accurate reliability-based design of the geosynthetic-reinforced slopes (GRS) using the pseudo-static and modified pseudo-dynamic framework is proposed in the present study. Deterministic formulation used in the present study is made robust with the help of nonlinear constrained optimization. The collocation based stochastic response surface method (CSRSM) is used to probabilistically analyze the GRS. The critical modes of failure pertaining to the internal and external stability of the GRS are considered in the formation of the performance functions. The horizontal seismic acceleration coefficient (k_h), internal friction angle of soil (φ), soil unit weight (γ), shear wave velocity (V_s), and friction angle at the interface between soil and reinforcement (φ_b) are chosen as the random variables, owing to their high influence on the stability of the GRS. The influence of correlation on the stability of the reinforced slope is illustrated considering the internal and external stability. System reliability analysis considering the internal and external modes of failure is also performed. An illustrative example is presented showing the steps to design a GRS using the proposed formulation. The results confirm the necessity of performing the system reliability analysis to estimate an accurate value of probability of failure of GRS.

本研究提出了一种使用伪静态和修改后的伪动态框架的土工合成材料加固边坡 (GRS) 的有效且准确的基于可靠性的设计。在非线性约束优化的帮助下，本研究中使用的确定性公式变得稳健。基于搭配的随机响应面方法 (CSRSM) 用于对 GRS 进行概率分析。在形成性能函数时考虑了与 GRS 内部和外部稳定性有关的关键故障模式。水平地震加速度系数（k _h）、土壤内摩擦角（φ）、土壤单位重量（γ）、横波速度（V _s) 和土壤与钢筋界面处的摩擦角 ( φ _b ) 被选为随机变量，因为它们对 GRS 的稳定性影响很大。考虑内外稳定性，说明相关性对加筋边坡稳定性的影响。还进行了考虑内部和外部故障模式的系统可靠性分析。展示了一个说明性示例，显示了使用建议的公式设计 GRS 的步骤。结果证实了进行系统可靠性分析以估计 GRS 故障概率的准确值的必要性。