Abstract
Abstract A semianalytical lattice-statics model is described for calculating the lattice distortion due to an edge dislocation in a crystal lattice to a desired degree of approximation. The edge dislocation is created by introducing a half-plane of vacancies. The defect space is decomposed into a part that has translation symmetry and a localized end space. The displacement field in the translationally symmetric part is calculated in terms of a constant Kanzaki 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 technique in the localized end space. The technique is illustrated by applying it to a sc lattice model.
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