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基于位移-位移平面应变边值问题,从理论上求解基坑挡墙水平变位诱发墙后周围土体水平移动。通过镜像映射法求得了挡墙平移与绕墙趾转动等两种基本刚性挡墙位移模式下墙后周围土体水平移动的精确理论解;在土体不可压缩的特定条件下,将该理论解与经典的汇-源理论解进行了对比验证。理论分析表明,周围土体水平移动主要取决于挡墙位移模式及位移大小,与地基土的变形模量无关。针对不可压缩土体,对比该精确解与汇-源理论近似解的理论预测发现,两种理论方法求得的周围土体水平移动规律一致,但在挡墙最大变位处相邻范围内,汇-源理论求得的土体水平位移偏小,在挡墙变位较小处相邻范围内,汇-源理论求得的土体水平位移偏大。
Based on the displacement-displacement plane strain boundary value problem, the horizontal movement of surrounding soil around the retaining wall of the retaining wall of the foundation pit is theoretically solved. The exact theoretical solution of the horizontal movement of the soil around the wall under two kinds of rigid retaining wall displacement modes is obtained by means of mirror mapping method. The theoretical solution of the theoretical solution is given under the special incompressible soil condition Contrast with the classical theory of sink-source theory. Theoretical analysis shows that the horizontal movement of surrounding soil mainly depends on the displacement mode and displacement of retaining wall, which has nothing to do with the deformation modulus of foundation soil. For the incompressible soil, comparing with the theoretical prediction of the approximate solution of this exact solution and the sink-source theory, we find that the horizontal movement law of the surrounding soil obtained by the two theoretical methods is consistent, but in the adjacent range of the maximum displacement of the retaining wall, The horizontal displacement of the soil obtained by the theory of sink-source is small. In the adjacent range where the displacement of the retaining wall is smaller, the horizontal displacement of the soil obtained by the sink-source theory is larger.