Accession Number : ADA131912

Title :   Interaction of a Dislocation with a Crack.

Descriptive Note : Technical rept.,


Personal Author(s) : Eringen,A Cemal

PDF Url : ADA131912

Report Date : Aug 1983

Pagination or Media Count : 42

Abstract : A solution is given of the field equations of nonlocal elasticity for a line crack interacting with a screw dislocation in an elastic plane under anti-plane shear loading. Displacement and stress fields are determined throughout the core region and beyond. In the case when the dislocation is absent, the circumferential stress is shown to vanish at the crack tip, increasing to a maximum along the crack line afterwards decreasing to its classical value at large distances from the crack tip. This is in contradiction with the classical elasticity solutions which predicts stress singularity at the crack tip and it is in accordance with the physical condition that the crack tip surface must be free of surface tractions. The presence of the dislocation alters the stress distribution considerably when it is close to the crack tip. The stress distributions, in the core region, are displayed. A fracture criterion based on the maximum stress is established and used to determine the theoretical strengths of pure crystals that contain a line crack. Results are in good agreement with those based on the atomic theories and experiments. (Author)

Descriptors :   *Mathematical analysis, *Cracks, *Fracture(Mechanics), *Crystals, *Structural properties, Mathematical models, Partial differential equations, Front ends and surfaces, Elastic properties, Dislocations, Interactions, Stresses, Planar structures, Shear strength

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE