The problem of the antiplane deformation of a wedge-shaped region which contained a uniformly moving screw dislocation was considered. A general solution to the problem was obtained by using Laplace and Kontorovich-Lebedev integral transforms. It was shown that the method was suitable for wedge angles greater than a critical value. The limiting case in which the wedge-shaped region became a half-plane was also analyzed. The solution could be considerably simplified in that case.

The Motion of a Screw Dislocation in a Wedge-Shaped Region. S.V.Sizov: Journal of Applied Mathematics and Mechanics, 1999, 63[1], 137-40