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A further synthesis of sextic and integral theories for dislocations and line forces in anisotropic media
Author(s) -
Asaro R. J.,
Hirth J. P.,
Babnett D. M.,
Lothe J.
Publication year - 1973
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.2220600129
Subject(s) - computation , anisotropy , line (geometry) , field (mathematics) , line integral , mathematics , integral equation , geometry , mathematical analysis , classical mechanics , physics , pure mathematics , optics , algorithm
A further synthesis of the sextic and the integral theories for the elastic fields of line forces and dislocations in anisotropio media is made. The expressions derived for the distortions and displacements are believed to be the most convenient ones for purposes of numerical computation. In addition expressions are given for the derivatives of the field quantities for use in Lothe‐Brown‐Indenbom‐Orlov theorems which allow for the construction of three dimensional fields from two dimensional data. Some numerical examples for cubic media are included.