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Lattice Statics Green's Function for Modeling of Dislocations in Crystals

Published online by Cambridge University Press:  10 February 2011

V.K. Tewary
V.K. Tewary*
Affiliation:
Materials Reliability Division, National Institute of Standards and Technology, Boulder, CO 80303, vinod.tewary@nist.gov
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Abstract

A lattice statics Green's function method is described for modeling an edge dislocation in a crystal lattice. The edge dislocation is created by introducing a half plane of vacancies as in Volterra's construction. The defect space is decomposed into a part that has translation symmetry and a localized end space. The Dyson's equation for the defect Green's function is solved by using a defect space Fourier transform method for the translational part and matrix partitioning for the localized part. Preliminary results for a simple cubic model are presented.

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