Penny-shaped crack revisited: Closed-form solutions
Open Access
- 1 August 1987
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine A
- Vol. 56 (2) , 191-207
- https://doi.org/10.1080/01418618708205161
Abstract
Closed-form solutions are obtained for a penny-shaped crack in a transversely isotropic elastic body, with the crack faces subjected to an arbitrary normal and shear loading. These results are important for investigating crack interactions. A simple and direct relationship is established between the limiting values of the tangential displacements and the stress intensity factors. A new governing integral equation is derived which is valid for an arbitrary crack under shear loading. This equation can be solved exactly and in an elementary manner for an elliptical crack under polynomial shear loading, and an approximate analytical solution is possible for a general crack under shear loading. Several illustrative examples are considered.Keywords
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