An image force theorem for a screw dislocation near a crack in non-local elasticity
Journal
Journal of Physics D: Applied Physics
Journal Volume
27
Journal Issue
2
Pages
344-346
Date Issued
1994
Author(s)
Pan, K L
Abstract
Using the non-local elasticity theory developed by Kroner, Eringen and some others, the interaction between a finite-length crack and a straight screw dislocation parallel to the crack plane is investigated. The following theorem is proved: 'in isotropic, non-local elastic media, the force exerted on a screw dislocation by the other defects is proportional to the gradient of the energy of the dislocation', which is correct in classical elasticity. With the theorem, the non-local image force on a screw dislocation due to a finite-length crack is calculated. The result shows that there is no singularity of the classical image force and there is a maximum of the force at the crack tip.
Type
journal article