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Title: Dislocation core-core interaction and Peierls stress in a model hexagonal lattice

Abstract

A series of atomistic calculations is performed in order to explore dislocation core-core interactions and the Peierls stress in a model hexagonal lattice. The method of calculation is the lattice Green`s function method, using several pair potentials with variable parameters. We confirm that dislocation cores broaden as a pair of dislocations with opposite sign move closer to each other. Continuum theories are surprisingly accurate in describing the dislocation-dislocation interaction force even in the range of strong core-core overlap. However, our atomistic calculations show that while the relation between the Peierls stress and dislocation width is exponential as the Peierls-Nabarro model predicts, that model underestimates the Peierls stress by nearly a factor of 10{sup 4}.

Authors:
;  [1];  [2]
  1. Department of Physics, Washington University, St. Louis, Missouri 63130 (United States)
  2. Materials Science and Engineering Laboratory, National Institute of Standards and Technology, Gaithersburg, Maryland 20899 (United States)
Publication Date:
OSTI Identifier:
142605
DOE Contract Number:  
FG02-84ER45130
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 49; Journal Issue: 10; Other Information: PBD: 1 Mar 1994
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; DISLOCATIONS; INTERACTIONS; CRYSTAL DEFECTS; HEXAGONAL LATTICES; PEIERLS-NABARRO FORCE; GREEN FUNCTION; STRESSES; COMPUTER CALCULATIONS

Citation Formats

Zhou, S.J., Carlsson, A.E., and Thomson, R.. Dislocation core-core interaction and Peierls stress in a model hexagonal lattice. United States: N. p., 1994. Web. doi:10.1103/PhysRevB.49.6451.
Zhou, S.J., Carlsson, A.E., & Thomson, R.. Dislocation core-core interaction and Peierls stress in a model hexagonal lattice. United States. doi:10.1103/PhysRevB.49.6451.
Zhou, S.J., Carlsson, A.E., and Thomson, R.. Tue . "Dislocation core-core interaction and Peierls stress in a model hexagonal lattice". United States. doi:10.1103/PhysRevB.49.6451.
@article{osti_142605,
title = {Dislocation core-core interaction and Peierls stress in a model hexagonal lattice},
author = {Zhou, S.J. and Carlsson, A.E. and Thomson, R.},
abstractNote = {A series of atomistic calculations is performed in order to explore dislocation core-core interactions and the Peierls stress in a model hexagonal lattice. The method of calculation is the lattice Green`s function method, using several pair potentials with variable parameters. We confirm that dislocation cores broaden as a pair of dislocations with opposite sign move closer to each other. Continuum theories are surprisingly accurate in describing the dislocation-dislocation interaction force even in the range of strong core-core overlap. However, our atomistic calculations show that while the relation between the Peierls stress and dislocation width is exponential as the Peierls-Nabarro model predicts, that model underestimates the Peierls stress by nearly a factor of 10{sup 4}.},
doi = {10.1103/PhysRevB.49.6451},
journal = {Physical Review, B: Condensed Matter},
number = 10,
volume = 49,
place = {United States},
year = {1994},
month = {3}
}