Abstract
This paper contains an asymmetric solution for the stress distributions around a hemi-spherical pit on a free surface of a thick plate under uniaxial tension. In this analysis, thirteen sets of Boussinesq's stress functions were chosen so as to satisfy the boundary conditions automatically, both on the upper surface and at infinity. On the other hand, the remaining conditions on the lower surface and on the surface of the pit are satisfied with the aid of the Hankel transform and relations between the cylindrical harmonics and spherical ones, and lastly half-range expansion technique. Numerical results are given for three different values of radius of the hemi-spherical pit.
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