The dislocation geometry of interphase boundaries

Abstract

Abstract Bilby's (1955) theory of surface dislocations has been applied to the case of a general interphase boundary where the lattice misfit is formally relieved by discrete arrays of dislocations. The approach developed here derives the line directions and array spacings of the dislocations for any matrix relating the two lattices on either side of the boundary. Examples are given of the application of the derived formulae to particular interphase boundary problems.