Abstract
A complete closed‐form solution in terms of elementary functions is given for the first time to the title problem. Explicit expressions are derived for the fields of stresses and displacements in both transversely 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 II and III loading have been evaluated. The method is based on the new results in potential theory obtained recently.
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