On the micromechanical modelling of the effective diffusion coefficient of a polycrystalline material

Anna G. Knyazeva, Galina P. Grabovetskaya, Ivan P. Mishin, Igor Sevostianov

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

This study focuses on calculation of the effective diffusion coefficient of a polycrystalline material accounting for the grain size and shapes. Polycrystal is modelled as a composite consisting of a matrix with high diffusivity (grain boundaries and triple junctions) and inhomogeneities with low diffusivity (bulk grains including crystal defects like dislocations). The segregation at the grain boundaries is accounted for. Typical micromechanical models are re-written for diffusivity assuming that the grains have the shape of ellipsoids of revolution (spheroids). The results are compared with (1) numerical results for hydrogen diffusion in an imaginary polycrystalline material and (2) experimental results for diffusion of hydrogen in nickel polycrystal available in the literature. The approach can be used for extraction of information on diffusivity along the grain boundaries.

Original languageEnglish
Pages (from-to)2046-2066
Number of pages21
JournalPhilosophical Magazine
Volume95
Issue number19
DOIs
Publication statusPublished - 3 Jul 2015

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diffusivity
diffusion coefficient
grain boundaries
polycrystals
spheroids
hydrogen
ellipsoids
crystal defects
inhomogeneity
grain size
nickel
composite materials
matrices

Keywords

  • diffusion
  • grain boundaries
  • homogenization
  • micromechanical modelling
  • polycrystal

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

On the micromechanical modelling of the effective diffusion coefficient of a polycrystalline material. / Knyazeva, Anna G.; Grabovetskaya, Galina P.; Mishin, Ivan P.; Sevostianov, Igor.

In: Philosophical Magazine, Vol. 95, No. 19, 03.07.2015, p. 2046-2066.

Research output: Contribution to journalArticle

Knyazeva, Anna G. ; Grabovetskaya, Galina P. ; Mishin, Ivan P. ; Sevostianov, Igor. / On the micromechanical modelling of the effective diffusion coefficient of a polycrystalline material. In: Philosophical Magazine. 2015 ; Vol. 95, No. 19. pp. 2046-2066.
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