非轴对称位移边界下球孔扩张挤土位移弹性解答

以现有半无限土体中球孔扩张挤土位移的解答为基础，分别对水平地表和非轴对称斜边两个位移边界进行应力修正，运用坐标转换法和叠加法的原理，改进现有的分析方法，得到较为简化的非轴对称位移边界下扩孔问题的解答，并对非轴对称斜边倾角以及球孔离斜边距离等因素对挤土位移的影响进行了分析。结果表明：倾斜边界条件的存在对球孔两侧的挤土位移有明显影响，且随着非轴对称边界倾角的增大，靠近倾斜边界侧的挤土位移也随之增大；球孔距自由边界的距离越大，自由边界对挤土位移的影响也越小。该解答对非轴对称边界条件下的静压沉桩以及相关扩孔问题的设计和施工具有一定的指导意义和实用价值。

Elastic solution to the squeezing displacement of spherical cavity expansion under nonaxisymmetric displacement boundary

Based on the current solution of the squeezing displacement due to cavity expansion in a semi-infinite soil layer, the horizontal surface and inclined slope displacement boundaries have been revised. The current analysis method is improved via the methods of coordinate transformation and superposition. Hereby a relatively simple solution to the soil compaction displacement field due to spherical cavity expansion is derived under nonaxisymmetric displacement boundaries, and the effects of the slope angle and the distance between the spherical cavity and the free boundary are analyzed. The results indicate that the inclination boundary condition has a significant influence on the squeezing displacement of both sides of the spherical cavity. With the increase of inclination, the influence of boundary inclination angle on the soil compaction displacement become more and more significant, and the larger the distance from spherical cavity position to the free boundary, the less significant effect on the soil squeezing displacement. This research may provide practical guidance for the design and construction of static piling on the adjacent slope and the issues related to cavity expansion.