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Approximate Solution of the Peierls Equation for Screw Dislocations with Threefold Symmetry
Author(s) -
Zhang H. T.,
Mann E.,
Seeger A.
Publication year - 1989
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221530206
Subject(s) - dislocation , planar , peierls stress , slip (aerodynamics) , symmetry (geometry) , physics , condensed matter physics , integral equation , infinitesimal , geometry , mathematical analysis , materials science , classical mechanics , mathematics , dislocation creep , thermodynamics , computer graphics (images) , computer science
Within the framework of the Peierls model an integral equation for the dislocation density distribution of 〈111〉 screw dislocations with threefold symmetry in b.c.c. crystals is derived. The dislocation core, described by a density of infinitesimal Burgers vectors, is extended along three {110} half‐planes intersecting at angles of 120° and acting as slip planes. The integral equation is approximately solved by an inversion procedure and by assuming appropriate functions with adjustable parameters representing the stresses along the slip planes. The results are in qualitative agreement with atomistic calculations reported in the literature. The total energy proves to be lower than in a planar Peierls model.