Abstract
An elastic solution has been found for a screw dislocation near a crack in the absence of any external stresses. The dislocation produces a stress intensity factor on the crack even without external stresses. The stress intensity factor at the crack tip plus the dislocation's contribution to the stress intensity factor add to the stress intensity factor due to the applied stresses. Also the interaction between the crack and dislocations, and between dislocations in the presence of the crack can be solved by simply considering the associated stress intensity factors at the crack tip. Several additional solutions derived are two dislocations at the crack tip, a dislocation off the crack plane, a circle of dislocations around the crack tip and a finite length crack with external stresses.
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