Abstract
We study a dislocation crack in which a displacement jump is specified at one of its tips but the faces are closed at the other tip. The physical meaning of the problem is specified from the positions of fracture mechanics for a dislocation crack, which is associated with a mathematical model of a semiinfinite defect in solid body with an introduced extra plane of given thickness and a cut on its continuation. Within the framework of this model, we deduce an integral equation and find its solution, which enables us to establish the stress-strain state near the dislocation crack. As a result, we determine the geometric parameters and find the energy of a body weakened by the dislocation crack.
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