一种半无限土体中圆孔扩张的分析方法

在静压桩贯入问题的研究中，常用无限土体中圆孔扩张法来模拟桩端对土体的扩张。实际上，压桩问题属于半无限问题，必须考虑从无限问题转化到半无限问题后地面边界处应力的差异。针对半无限问题中地表应力的修正，在现有研究的基础上引入了应力函数解答来求解弹性条件下半无限问题，很好地修正了地表应力，得到了相应的解答。与原有的解答相比，提出的解答能够更好地反映半无限的特性，为进一步分析压桩问题奠定了基础。

A method for cavity expansion in semi-infinite soil

In the study of piles jacking in soil,cavity expansion method(CEM)in infinite space is usually used to simulate the expansion of piles.But pile jacking took place in semi-infinite space,the difference of stresses in boundary between semi-infinite space and infinite space should be analyzed.Considered the surface stresses correction of semi-infinite problem and based on existing research,a new elastic method is presented to develop the CEM to satisfy the semi-infinite space by using stress function.Surface stresses can be corrected by using this method.It is proved to be advanced compared with existing methods and can be used for further research.