Abstract
The results of analytical and numerical solutions of the problem of the redistribution of elements between the coating and the substrate under heat treatment are presented here. It is assumed that the coating consists of two elements - chromium and nitrogen, and the substrate is silicon. The model takes into account the Soret effect. The Soret's coefficients (or the corresponding coefficients of thermal diffusion) are different for the elements. The analytical solution of the linearized coupled problem is obtained by the operational method. Numerical solution was implemented by implicit difference scheme. In the linear approximation, the results of numerical solutions are close enough to analytical ones. The effect of diffusion coefficients and thermal diffusion on the redistribution of elements in the diffusion zone has been studied.
| Original language | English |
|---|---|
| Title of host publication | High Technology |
| Subtitle of host publication | Research and Applications, 2015 |
| Publisher | Trans Tech Publications Ltd |
| Pages | 200-205 |
| Number of pages | 6 |
| ISBN (Print) | 9783038357087 |
| DOIs | |
| Publication status | Published - 1 Jan 2016 |
| Event | 4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 - Tomsk, Russian Federation Duration: 21 Apr 2015 → 24 Apr 2015 |
Publication series
| Name | Key Engineering Materials |
|---|---|
| Volume | 685 |
| ISSN (Print) | 1013-9826 |
Conference
| Conference | 4th International Conference for Young Scientists High Technology: Research and Applications, HTRA 2015 |
|---|---|
| Country | Russian Federation |
| City | Tomsk |
| Period | 21.4.15 → 24.4.15 |
Fingerprint
Keywords
- Analytical solution
- Coating
- Diffusion
- Numerical realization
- Soret effect
- Thermal treatment
ASJC Scopus subject areas
- Materials Science(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
Thermal activated elements redistribution between two-component coating and substrate. / Kryukova, Olga N.; Chepak-Gizbrekht, Mariya V.
High Technology: Research and Applications, 2015. Trans Tech Publications Ltd, 2016. p. 200-205 (Key Engineering Materials; Vol. 685).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Thermal activated elements redistribution between two-component coating and substrate
AU - Kryukova, Olga N.
AU - Chepak-Gizbrekht, Mariya V.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - The results of analytical and numerical solutions of the problem of the redistribution of elements between the coating and the substrate under heat treatment are presented here. It is assumed that the coating consists of two elements - chromium and nitrogen, and the substrate is silicon. The model takes into account the Soret effect. The Soret's coefficients (or the corresponding coefficients of thermal diffusion) are different for the elements. The analytical solution of the linearized coupled problem is obtained by the operational method. Numerical solution was implemented by implicit difference scheme. In the linear approximation, the results of numerical solutions are close enough to analytical ones. The effect of diffusion coefficients and thermal diffusion on the redistribution of elements in the diffusion zone has been studied.
AB - The results of analytical and numerical solutions of the problem of the redistribution of elements between the coating and the substrate under heat treatment are presented here. It is assumed that the coating consists of two elements - chromium and nitrogen, and the substrate is silicon. The model takes into account the Soret effect. The Soret's coefficients (or the corresponding coefficients of thermal diffusion) are different for the elements. The analytical solution of the linearized coupled problem is obtained by the operational method. Numerical solution was implemented by implicit difference scheme. In the linear approximation, the results of numerical solutions are close enough to analytical ones. The effect of diffusion coefficients and thermal diffusion on the redistribution of elements in the diffusion zone has been studied.
KW - Analytical solution
KW - Coating
KW - Diffusion
KW - Numerical realization
KW - Soret effect
KW - Thermal treatment
UR - http://www.scopus.com/inward/record.url?scp=84958231016&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84958231016&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/KEM.685.200
DO - 10.4028/www.scientific.net/KEM.685.200
M3 - Conference contribution
SN - 9783038357087
T3 - Key Engineering Materials
SP - 200
EP - 205
BT - High Technology
PB - Trans Tech Publications Ltd
ER -