Abstract: In this paper, the stress boundary value problem of axis symmetry of a half-infinite elastical solid under the action of circular line loads and circular, or ring,distributed loads on the boundary plane is studied. Using Hankel transformation, formulae of all stresses and displacements at an arbitrary point in the half-infinite solid are given in the form of the complete elliptic integrals. Particularly, on z=0 plane and symmetric axis r=0, all stresses and displacements can be obtained. Finally, operations and results of several integrals are also given, and some cases studied in the paper are discussed.

摘要： 本文对半无限弹性体表面受环行线载荷和圆形分布力作用下的轴对称应力边值问题进行了讨论,给出了弹性体位移和应力场分布的椭圆积分表达式。同时,还给出了若干积分的结果并对几种载荷作用的情形进行了讨论。