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Displacement Field Of a Dislocation Loop in Anisotropic Cubic Crystals
Author(s) -
Ohr S. M.
Publication year - 1974
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.2220640137
Subject(s) - isotropy , dislocation , fourier transform , anisotropy , displacement field , displacement (psychology) , materials science , cubic crystal system , condensed matter physics , geometry , physics , mathematical analysis , mathematics , optics , finite element method , thermodynamics , psychology , psychotherapist
The displacement field around a dislocation loop in anisotropic cubic crystals has been calculated on the basis of the continuum theory. The components of displacement were obtained by means of the Fourier inversion formula applied to the product of Fourier trans forms of the elastic Green's function and the body force density appropriate for a circular dislocation loop. In performing the inverse transformation, the radial part of the integration was carried out analytically while the double integral over solid angle was evaluated numerically. The results for dislocation loops in copper and niobium are presented in the form of equi‐displacement contour plots. I n general, the displacement field is proportional to the anisotropy factor A = 2c 44 /(c 11 − c 11 ). In copper, the magnitude of the displacement field is greater than that of an elastically isotropic crystal by a factor of as much as two.