Analytic Full-Field Solutions of Screw Dislocation in Finite Annular Wedges

The problem of screw dislocations in a finite isotropic annular wedge is analyzed in this study. By using the Mellin transform technique and the image method, the explicit full-field solutions in series forms are obtained for combinations of traction free and fixed displacement boundary conditions. For the special case of a wedge with a finite radius and an infinite wedge, the solutions with functional forms only consist of four and two terms, respectively. The stress intensity factors for a semi-infinite crack and a circular disk with an edge crack are obtained in closed forms. With the aid of the Peach-Koehler equation, the explicit forms of the image forces exerted on screw dislocations are easily constructed from the full-field solutions of stresses. Numerical results of the full-field stress distributions and image forces for the traction free boundary condition are discussed in detail.

並列關鍵字

Screw dislocation ； Annular wedge ； Image method ； Image forces

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