This article presents an analytical solution to predict the deformation of geosynthetic-encased stone columns (GESCs) and the surrounding soil in GESC-supported embankments, taking into account the effect of anisotropy of surrounding soil. Based on the theory of cylindrical cavity expansion, the elastoplastic constitutive relationship of the surrounding soil is described by the K₀-based Modified Cam-Clay (K₀-MCC) model, analysing the relationship between the radial displacement and the elastic-plastic boundary displacement. According to elastoplastic model of stone column materials, the relationship between stress and deformation of the stone column is analysed via the radial stress and the vertical stress equilibrium. This method has been verified by the existing numerical data of GESC-supported embankments and shows a good agreement. As for the isotropic in situ stress state, the K₀-MCC model-based solution of this study reduces to the MCC model-based solution of previous studies. However, the results show that the predictions generated from the isotropic model underestimate the deformation of the surrounding soil. Parametric studies are conducted to investigate the impact of the embankment fill height, the geosynthetic reinforcement stiffness, anisotropy of the soil, overconsolidation ratio, area replacement ratio, initial pore water pressure and encasement length on the deformation of GESC-supported embankments.

考虑到周围土体的各向异性，本文提供了一种分析解决方案来预测土工合成材料包裹的石柱（GESC）和周围土体的变形。基于圆柱孔扩张理论，用基于K ₀的改性凸轮-黏土（K ₀）描述了周围土壤的弹塑性本构关系。-MCC）模型，分析了径向位移与弹塑性边界位移之间的关系。根据石柱材料的弹塑性模型，通过径向应力和竖向应力平衡分析了石柱应力与变形之间的关系。该方法已被GESC支护路堤的现有数值数据验证，并显示出良好的一致性。至于各向同性原位应力状态，K ₀-本研究基于MCC模型的解决方案简化为先前研究的基于MCC模型的解决方案。然而，结果表明，各向同性模型所产生的预测低估了周围土壤的变形。进行参数研究以调查路堤填筑高度，土工合成材料的增强刚度，土壤的各向异性，超固结比，面积置换率，初始孔隙水压力和包裹长度对GESC支撑路堤的变形的影响。