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The Self‐Energy of Dislocation Configurations Made up of Straight Segments
Author(s) -
de Wit R.
Publication year - 1967
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.19670200218
Subject(s) - dislocation , stacking fault energy , piecewise linear function , isotropy , tetrahedron , traction (geology) , energy (signal processing) , mathematics , geometry , piecewise , core (optical fiber) , mathematical analysis , physics , engineering , quantum mechanics , condensed matter physics , mechanical engineering , optics , statistics
Three general expressions are presented: the first is the interaction energy between two non‐parallel straight dislocation segments, the second is the interaction energy between two parallel straight segments, and the third is the self‐energy of a straight segment. These can be used to determine the total energy of any dislocation configuration made up of piecewise straight segments. They differ from previous expressions in the literature primarily in that they are given completely in vector notation and in that the self‐energy includes a core traction term. The expressions are limited to the case of a linear, isotropic, infinite continuum. As an example, the formulas are applied to the case of a stacking‐fault tetrahedron.