The stability analysis of soil and rock structures reinforced by groups made of a large number of regularly distributed inclusions, may be appropriately performed by resorting to a multiphase model incorporating a soil-reinforcement failure criterion, as well as the shear and bending resistance of the reinforcements. This contribution develops the numerical implementation of both the lower and upper bound methods of yield design through a preliminary discretization of the structure into finite elements, formulated in the framework of this model and leading to non-linear optimization problems. Two illustrative examples of application are investigated: the stability analysis of a mechanically stabilized earth retaining wall, where it appears that the soil-reinforcement strength condition plays an important role, and the stability of a piled-embankment under seismic loading, where the stabilizing effect of the shear and bending strength characteristics of the reinforcements is highlighted. The comparison with previously obtained results on the same problems points to the good performance and design capabilities of this new computational approach.

由大量规则分布的夹杂物组成的群所加固的土壤和岩石结构的稳定性分析，可以通过采用结合了土壤加固破坏准则以及钢筋的抗剪和抗弯性的多相模型来适当地进行。 。通过在该模型的框架内将结构初步离散化为有限元，这种贡献发展了产量设计的上下限方法的数值实现，并在此模型的框架内进行了建模，并导致了非线性优化问题。研究了两个示例性的应用示例：机械稳定的土挡土墙的稳定性分析，其中土加筋强度条件似乎起着重要的作用，以及桩基路堤在地震荷载作用下的稳定性，其中突出了钢筋的抗剪强度和抗弯强度特性的稳定作用。与以前在相同问题上获得的结果进行比较表明，这种新的计算方法具有良好的性能和设计能力。