Use of the Frank-Bilby equation for calculating misfit dislocation arrays in interfaces

J. B. Yang; Y. Nagai; M. Hasegawa

doi:10.1016/j.scriptamat.2009.12.011

Use of the Frank-Bilby equation for calculating misfit dislocation arrays in interfaces

J. B. Yang, Y. Nagai, M. Hasegawa

Materials Design Division

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The Frank-Bilby equation has been utilized to develop a general approach in which a simple criterion is proposed to classify interfaces with discrete misfit dislocation arrays into four types so that these misfit dislocation arrays can be conveniently characterized with uniform formulae. The relation connecting misfit dislocation configurations with the matrices in the Frank-Bilby equation, the special interfaces consistent with the Δg-parallelism and the continuity of misfit dislocations at intersection edges of interfaces are discussed.

Original language	English
Pages (from-to)	458-461
Number of pages	4
Journal	Scripta Materialia
Volume	62
Issue number	7
DOIs	https://doi.org/10.1016/j.scriptamat.2009.12.011
Publication status	Published - 2010 Apr

Keywords

Dislocations
Grain boundary structure
Interface structure

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Metals and Alloys

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10.1016/j.scriptamat.2009.12.011

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title = "Use of the Frank-Bilby equation for calculating misfit dislocation arrays in interfaces",

abstract = "The Frank-Bilby equation has been utilized to develop a general approach in which a simple criterion is proposed to classify interfaces with discrete misfit dislocation arrays into four types so that these misfit dislocation arrays can be conveniently characterized with uniform formulae. The relation connecting misfit dislocation configurations with the matrices in the Frank-Bilby equation, the special interfaces consistent with the Δg-parallelism and the continuity of misfit dislocations at intersection edges of interfaces are discussed.",

keywords = "Dislocations, Grain boundary structure, Interface structure",

author = "Yang, {J. B.} and Y. Nagai and M. Hasegawa",

note = "Funding Information: This work was partially supported by Grant-in-Aids for Scientific Research of the Ministry of Education, Science and Culture (Nos. 17002009 , 18686077 and 15106015 ).",

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AU - Yang, J. B.

AU - Nagai, Y.

AU - Hasegawa, M.

N1 - Funding Information: This work was partially supported by Grant-in-Aids for Scientific Research of the Ministry of Education, Science and Culture (Nos. 17002009 , 18686077 and 15106015 ).

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N2 - The Frank-Bilby equation has been utilized to develop a general approach in which a simple criterion is proposed to classify interfaces with discrete misfit dislocation arrays into four types so that these misfit dislocation arrays can be conveniently characterized with uniform formulae. The relation connecting misfit dislocation configurations with the matrices in the Frank-Bilby equation, the special interfaces consistent with the Δg-parallelism and the continuity of misfit dislocations at intersection edges of interfaces are discussed.

AB - The Frank-Bilby equation has been utilized to develop a general approach in which a simple criterion is proposed to classify interfaces with discrete misfit dislocation arrays into four types so that these misfit dislocation arrays can be conveniently characterized with uniform formulae. The relation connecting misfit dislocation configurations with the matrices in the Frank-Bilby equation, the special interfaces consistent with the Δg-parallelism and the continuity of misfit dislocations at intersection edges of interfaces are discussed.

KW - Dislocations

KW - Grain boundary structure

KW - Interface structure

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JF - Scripta Materialia

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Use of the Frank-Bilby equation for calculating misfit dislocation arrays in interfaces

Abstract

Keywords

ASJC Scopus subject areas

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