For the first time, a complete solution in terms of elementary functio
ns is given to the problem of a transversely isotropic elastic space w
eakened by an external circular crack and subjected to arbitrary norma
l loading applied symmetrically to both crack faces. A complete field
of displacements and stresses due to a concentrated loading is given f
or both transversely isotropic and purely isotropic cases. The method
of solution is based on the results published earlier by the first aut
hor.