2006 | OriginalPaper | Buchkapitel
Supersonic Dislocations and Dislocations in Dispersive Media
Erschienen in: Collected Works of J. D. Eshelby
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The conditions governins the motion of a screw dislocationat velocities above and below the velocity of shear waves are contrasted. For supersonic motion the Peierls-Nabarro equation becomes a differential equation, in contrast to the subsonic integral equation. It has a solution representing a moving restoration of fit along a slip plane across which there was originally complete misfit.In a dispersive medium where the sound velocity decreases with decreasing wavelength a dislocation moving between the maximum and minimum sound velocities suffers a retarding force, which may be calculated if the shape of the dislocation is supposed to be known.