In this paper, a thorough numerical study is conducted to rigorously evaluate the lateral earth pressures exerted on the retaining walls backfilled with geosynthetic-reinforced soil strata. With this aim, the lower bound theorem of limit analysis is exploited in conjunction with the finite element discretization method. The computational programming adopting second-order cone optimization is employed to model the Mohr-Coulomb yield criterion in its respective nonlinear form. The reinforcement layers are assumed to bear solely axial tension; but not bending moment, which is the common characteristic of all geosynthetic materials. Results show that the horizontal stress field behind retaining structures is heavily disturbed by placing geosynthetic layers, especially in close proximity to the retaining structure. Accordingly, the failure zone shrinks in size and the lateral earth pressure decreases by either adding more reinforcement layers or increasing their relative lengths. Through a comprehensive parametric survey, the influence of several parameters, including internal friction angle, soil-wall and soil-reinforcement interface friction angles, length and number of reinforcements, soil inherent anisotropy and surface loading on the lateral earth pressure is meticulously examined. The employed formulations are rigorously compared with results published in the literature. A design table is also provided so as to effectively estimate the active earth pressure coefficient of geosynthetic-reinforced walls accounting for all contributing parameters.

在本文中，进行了全面的数值研究，以严格评估施加在土工合成材料加筋的土层回填的挡土墙上的侧向土压力。为此，结合有限元离散化方法开发了极限分析的下界定理。采用二阶锥优化的计算程序以其各自的非线性形式对Mohr-Coulomb屈服准则进行建模。假定增强层仅承受轴向张力；但不是弯矩，这是所有土工合成材料的共同特征。结果表明，通过放置土工合成材料层，尤其是在紧邻保持结构的位置，严重破坏了保持结构后面的水平应力场。因此，通过添加更多的加强层或增加其相对长度，破坏区域的尺寸会缩小，横向土压力会降低。通过全面的参数调查，仔细研究了多个参数，包括内摩擦角，土-墙和土-加筋界面的摩擦角，加筋的长度和数量，土的固有各向异性和表面载荷对侧向土压力的影响。将所采用的配方与文献中公布的结果进行严格比较。还提供了一个设计表，以有效地估算考虑了所有贡献参数的土工合成材料加筋墙的有效土压力系数。