The centre of a dislocation: I

Abstract

An attempt is made to describe mathematically the state of stress at the centre of an edge dislocation. The discontinuity in stress across the slip plane suggests the use of the more general type of dislocation previously investigated by the author. Aa shown in the earlier paper the more general dislocation may be built up from an array of simple edge dislocations. Here the converse is applied; the simple edge dislocation is presented as the difference of two or more dislocations of the more general type. By this means it is possible to eliminate the central singularity hitherto obtained in the elastic dislocation, to calculate the stresses at all points, and to plot the law of force acting across the slip plane. The method is believed to be new, and is found capable of wider application.