The role of harmonic functions in dislocation–boundary interactions by the method of images

We present a theoretical basis for the link between the harmonic functions and the method of images, which was effectively used in Head's analysis [A.K. Head, Proc. Phys. Soc. London Ser. B 66 (1953) 793–801] of dislocation–boundary interaction. We also report the solution of the displacement f...

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Veröffentlicht in:	Materials science & engineering. A, Structural materials : properties, microstructure and processing Structural materials : properties, microstructure and processing, 2007-04, Vol.452, p.99-102
Hauptverfasser:	Chou, Y.T., Pande, C.S., Masumura, R.A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundaries Condensed matter: structure, mechanical and thermal properties Defects and impurities in crystals microstructure Dislocations Displacement field Exact sciences and technology Linear defects: dislocations, disclinations Physics Structure of solids and liquids crystallography
Online-Zugang:	Volltext
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Zusammenfassung:	We present a theoretical basis for the link between the harmonic functions and the method of images, which was effectively used in Head's analysis [A.K. Head, Proc. Phys. Soc. London Ser. B 66 (1953) 793–801] of dislocation–boundary interaction. We also report the solution of the displacement field of an edge dislocation near a plane surface, and illustrate the profiles of its boundary displacements.
ISSN:	0921-5093 1873-4936
DOI:	10.1016/j.msea.2006.10.103