Hostname: page-component-8448b6f56d-t5pn6 Total loading time: 0 Render date: 2024-04-23T22:22:03.790Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 529: Symposia BB – Computational & Mathematical Models of Microstructural Evolution , 1998 , 15
Copyright
Copyright © Materials Research Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1 Tewary, V. K., Green's function method for lattice statics, Adv. Phys. 22, p 757 (1973).Google Scholar
2 Thomson, R., Zhou, S.J., Carlsson, A.E., and Tewary, V.K., Lattice imperfections studied by use of lattice Green's functions, Phys. Rev. B46, p 10613 (1992).Google Scholar
3 Tewary, V.K. and Thomson, R., Lattice statics of interfaces and interfacial cracks in bimaterial solids, J. Mater. Res. 7, p1018 (1992).Google Scholar
4 Carlsson, A.E. and Thomson, R., Fracture toughness of materials: From atomistics to continuum theory, Solid State Physics 51, p233 (1998).Google Scholar
5 Vashishta, P., Nakano, A., Kalia, R.K. et al. Crack propagation and fracture in ceramic films- Million atom molecular dynamics simulations on parallel computers, Mat. Sci. Eng.- Solids B37, p56 (1996).Google Scholar
6 Pasianot, R., Farkas, D., and Savino, E.J., Dislocation core structure in ordered intermetallic alloys, J. Physique 1111, p997 (1991).Google Scholar
7 Tadmor, E.B., Ortiz, M., and Phillips, R., Quasicontinuum analysis of defects in solids, Phil. Mag. A73, p 1529 (1996).Google Scholar