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Elastic Field and Self‐Force of Dislocations Emerging at the Free Surfaces of an Anisotropic Halfspace
Author(s) -
Lothe J.,
Indenbom V. L.,
Chamrov V. A.
Publication year - 1982
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.2221110231
Subject(s) - superposition principle , dislocation , free surface , anisotropy , elastic energy , surface (topology) , field (mathematics) , classical mechanics , plane (geometry) , condensed matter physics , materials science , geometry , physics , mathematical analysis , mathematics , mechanics , optics , quantum mechanics , pure mathematics
The problem of dislocations emerging at free surfaces is considered. This complicated threedimensional elastic problem can be reduced to a superposition of two‐dimensional fields of infinite straight dislocations which are well defined. A plane fan‐shaped distribution of infinite straight dislocations is introduced which replaces the condition of a free surface. This allows one to construct the whole elastic field of inclined dislocations in the anisotropic halfspace. As an example of the suggested method the formula for the self‐force acting on dislocations emerging at a free surface is obtained. The connection of self‐moments acting on dislocations with the orientational dependence of the dislocation energy is discussed.