Abstract:

The present study aims at determining the solutions of the well-known problem of a finite width strip with single edge crack, which is transformed a mathematically daunting problem. Cohesive forces are incorporated into a plastic strip in the elastic body. By superposing the two linear elastic fields, one evaluated with internal loadings and the other with cohesive forces, the problem is treated in Dugdale-Barenblatt′s manner. A simple but yet rigorous version of the complex analysis theory is employed here, which involves transcendental function conformal mapping technique. The analytical approach leads to establish a few equations, which allows the exact calculation of the corresponding stress intensity factors and the size of cohesive force zone.

Key words: single edge crack; conformal mapping; Dugdale-Barenblatt model; cohesive force zone