Abstract
This analysis considers the interaction between a penny-shaped crack or a circular external crack and a mode I “opening”point dislocation. The dislocation is taken to lie on the plane of the crack. Symmetry considerations allow the reduction to a mixed boundary value problem for a half space which is solved by well-known methods from potential theory. Closed-form expressions are obtained for the crack opening displacement, stress on the symmetry plane, and the mode I stress intensity factor around the internal or external crack. The use of the present solution for the accurate numerical treatment of cracks with large amplitude variations in the crack front curvature as well as cases of multiple coplanar cracks is outlined.
| Original language | English |
|---|---|
| Pages (from-to) | 589-595 |
| Number of pages | 7 |
| Journal | Journal of Applied Mechanics, Transactions ASME |
| Volume | 57 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1990 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering