Abstract: 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.

Key words: nonaxisymmetric, spherical cavity expansion, coordinate transformation, squeezing displacement