An exact closed form solution in terms of elementary functions has bee
n obtained to the governing integral equation of an external circular
crack in a transversely isotropic elastic body. The crack is subjected
to arbitrary tangential loading applied antisymmetrically to its face
s. The recently discovered method of continuity solutions was used her
e. The solution to the governing integral equation gives the direct re
lationship between the tangential displacements of the crack faces and
the applied loading. Now a complete solution to the problem, with for
mulae for the field of all stresses and displacements, is possible.