Debye Theory of Dislocations

Abstract

AbstractContinuum models of dislocation lead to divergencies in the core. Using the Debye model, i. e. a cutoff at the wave vector kD, the divergency, inherent to the continuum approximation, disappears and an explicit expression for the cutoff radius in the coordinate space is obtained. The static Green's function of the elasticity and the stress field of a screw dislocation are calculated and shown that in the classical elasticity theory a singularity appears on the surface along which the dislocation is introduced. This stress however can be neglected because of the atomic structure of the crystal.