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Abstract
The dynamics of a mode-III crack in interaction with a nearby screw dislocation is studied within the framework of elasticity theory by thinking of the crack as a continuous superposition of infinitesimal dislocations and using an expansion valid for short distances and small accelerations. The resulting equation of motion involves (at least) second-order time derivatives of the crack tip position due to the presence of the dislocation. Thus, contrary to what happens for an isolated crack, the crack considered here has a dislocation-induced inertia. The method employed should be generalizable to situations other than an antiplane.