Abstract
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 language | English |
|---|---|
| Title of host publication | Advanced Materials Research |
| Publisher | Trans Tech Publications Ltd |
| Pages | 614-619 |
| Number of pages | 6 |
| Volume | 1040 |
| ISBN (Print) | 9783038352648 |
| DOIs | |
| Publication status | Published - 2014 |
| Event | International Conference for Young Scientists “High Technology: Research and Applications 2014”, HTRA 2014 - Tomsk, Russian Federation Duration: 26 Mar 2014 → 28 Mar 2014 |
Publication series
| Name | Advanced Materials Research |
|---|---|
| Volume | 1040 |
| ISSN (Print) | 10226680 |
| ISSN (Electronic) | 16628985 |
Other
| Other | International Conference for Young Scientists “High Technology: Research and Applications 2014”, HTRA 2014 |
|---|---|
| Country | Russian Federation |
| City | Tomsk |
| Period | 26.3.14 → 28.3.14 |
Fingerprint
Keywords
- Analytical solution
- Diffusion
- Grain boundaries
- Mass exchange
- Numerical calculation
- Volume and grain phases
ASJC Scopus subject areas
- Engineering(all)
Cite this
Two phase model of diffusion in polycrystalline material. / Chepak-Gizbrekht, Marija V.; Shvagrukova, Ekaterina Vasilievna.
Advanced Materials Research. Vol. 1040 Trans Tech Publications Ltd, 2014. p. 614-619 (Advanced Materials Research; Vol. 1040).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Two phase model of diffusion in polycrystalline material
AU - Chepak-Gizbrekht, Marija V.
AU - Shvagrukova, Ekaterina Vasilievna
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
KW - Analytical solution
KW - Diffusion
KW - Grain boundaries
KW - Mass exchange
KW - Numerical calculation
KW - Volume and grain phases
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UR - http://www.scopus.com/inward/citedby.url?scp=84913570710&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMR.1040.614
DO - 10.4028/www.scientific.net/AMR.1040.614
M3 - Conference contribution
SN - 9783038352648
VL - 1040
T3 - Advanced Materials Research
SP - 614
EP - 619
BT - Advanced Materials Research
PB - Trans Tech Publications Ltd
ER -