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

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

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

A quantization procedure for the Frank-Bilby equation to calculate the periodic structure of interphase interfaces and grain boundaries with one, two and three sets of discrete misfit dislocation arrays is presented mainly in terms of the basic O-lattice equation. The line directions and spacings of misfit dislocation arrays are derived to account for the full relaxation of the long-range strains in the interface without the ad hoc assumption proposed by Bollmann who assumed that misfit dislocation arrays are the lines of intersection between the O-cell walls and the interface. It has been found that the discrete dislocation arrangement derived from the above Bollmann's assumption cannot always ensure that the interface is free of long-range strains.

Original languageEnglish
Pages (from-to)4874-4881
Number of pages8
JournalActa Materialia
Volume57
Issue number16
DOIs
Publication statusPublished - 2009 Sep

Keywords

  • Analytical methods
  • Dislocations
  • Grain boundary structure
  • Interface structure

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Ceramics and Composites
  • Polymers and Plastics
  • Metals and Alloys

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