En. Karapetian, ELASTIC FIELD OF INTERNAL CIRCULAR CRACK SUBJECTED TO LINEAR SHEAR LOADING, Journal of engineering mechanics, 119(7), 1993, pp. 1314-1330
A complete closed-form solution in terms of elementary functions is gi
ven for the first time to the title problem. Explicit expressions are
derived for the fields of stresses and displacements in both transvers
ely isotropic and isotropic space weakened by a penny-shaped crack and
subjected to a shear loading with a magnitude being a linear function
of coordinates x and y. The stress intensity factors for mixed mode I
I and III loading have been evaluated. The method is based on the new
results in potential theory obtained recently.