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Elastic Quasi‐Isotropy Normal to the Basal Plane in the Hexagonal System
Author(s) -
Kirchner H. O. K.,
Bluemel K. H.
Publication year - 1976
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.2220750215
Subject(s) - hexagonal crystal system , isotropy , dislocation , anisotropy , peierls stress , transverse isotropy , geometry , tensor (intrinsic definition) , plane (geometry) , materials science , basal plane , crystal (programming language) , condensed matter physics , crystallography , mathematics , physics , dislocation creep , chemistry , optics , computer science , programming language
Abstract Within the framework of the integral theory of anisotropic elasticity the Green tensor for point forces and the prelogarithmic tensor for dislocation energies are derived for the direction normal to the basal plane of a hexagonal crystal. They can be written in closed form and no numerical integration is necessary. The stress and displacement fields of a dislocation running in that direction are derived. Since a hexagonal crystal is transversely iso‐tropic in the basal plane, the most important dislocation interaction problem in a hexagonal crystal, the interaction between a glide dislocation in the basal plane and a dislocation tree normal to it, can be treated with the same ease as in isotropy.