Two phase model of diffusion in polycrystalline material

Marija V. Chepak-Gizbrekht, Ekaterina Vasilievna Shvagrukova

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Diffusion research is important for understanding of many processes based on mass transfer. In many respects, diffusion, determines physical and mechanical characteristics for new materials with fine-dispersed matter and a large number of grain boundaries and phases. Models of diffusion along grain boundaries and their modifications are widely known in literature, but they are not always applicable to nanomaterials due to indistinct determination of some notions. At the present paper the model of diffusion is presented, which considers boundaries and area near boundaries as a phase with special properties. Mass transfer between the volume of a grain and a boundary phase is taken into account. The approximate analytical solution of the problem is formulated. In the general case the problem is solved numerically. Non monotonic distributions of concentrations in volume are obtained.

Original languageEnglish
Title of host publicationAdvanced Materials Research
PublisherTrans Tech Publications Ltd
Number of pages6
ISBN (Print)9783038352648
Publication statusPublished - 2014
EventInternational Conference for Young Scientists “High Technology: Research and Applications 2014”, HTRA 2014 - Tomsk, Russian Federation
Duration: 26 Mar 201428 Mar 2014

Publication series

NameAdvanced Materials Research
ISSN (Print)10226680
ISSN (Electronic)16628985


OtherInternational Conference for Young Scientists “High Technology: Research and Applications 2014”, HTRA 2014
CountryRussian Federation


  • Analytical solution
  • Diffusion
  • Grain boundaries
  • Mass exchange
  • Numerical calculation
  • Volume and grain phases

ASJC Scopus subject areas

  • Engineering(all)

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