Lattice-statics model for edge dislocations in crystals

A semianalytical lattice-statics model is described for calculating the lat tice distortion due to an edge dislocation in a crystal lattice to a desire d degree of approximation. The edge dislocation is created by introducing a half-plane of vacancies. The defect space is decomposed into a part that h as translation symmetry and a localized end space. The displacement field i n the translationally symmetric part is calculated in terms of a constant K anzaki force that is related to the Burgers vector. The Dyson equation for the defect Green's function is then solved by using a matrix partitioning t echnique in the localized end space. The technique is illustrated by applyi ng it to a sc lattice model.