Coupling model of coating synthesis on a plane substrate

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

Abstract

To describe the process of the coating synthesis from chemically reacting mixtures and understand the fundamental physical regularities controlling the composition and properties formation in technological situations,the macro kinetic approach is applicable. When chemical reactions proceed in solid phase, it is necessary to pay attention to the stress-strain state of the specimen. By taking into account the interrelation between various physical phenomena we come to the coupling problem. In this report, the problem on reaction front propagation is discussed for the coating synthesis. This situation is typical, for example, for intermetallic coating synthesis initiated by laser or electron beams.The asymptotic solution of the type of travelling wave is constructed in the approximation of small strains for the conditions of reaction propagation along a thin layer placed on the plane substrate. The dimensional parameters, which affect the reaction front propagation, are determined. The presence of different modes for various parameter areas is shown.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences
Subtitle of host publication10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018
EditorsMichail D. Todorov
PublisherAmerican Institute of Physics Inc.
Volume2025
ISBN (Electronic)9780735417458
DOIs
Publication statusPublished - 25 Oct 2018
Event10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018 - Albena, Bulgaria
Duration: 20 Jun 201825 Jun 2018

Conference

Conference10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018
CountryBulgaria
CityAlbena
Period20.6.1825.6.18

Fingerprint

coatings
propagation
synthesis
regularity
traveling waves
intermetallics
coating
solid phases
chemical reactions
laser beams
electron beams
kinetics
approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Knyazeva, A. (2018). Coupling model of coating synthesis on a plane substrate. In M. D. Todorov (Ed.), Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018 (Vol. 2025). [070004] American Institute of Physics Inc.. https://doi.org/10.1063/1.5064916

Coupling model of coating synthesis on a plane substrate. / Knyazeva, A.

Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. ed. / Michail D. Todorov. Vol. 2025 American Institute of Physics Inc., 2018. 070004.

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

Knyazeva, A 2018, Coupling model of coating synthesis on a plane substrate. in MD Todorov (ed.), Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. vol. 2025, 070004, American Institute of Physics Inc., 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018, Albena, Bulgaria, 20.6.18. https://doi.org/10.1063/1.5064916
Knyazeva A. Coupling model of coating synthesis on a plane substrate. In Todorov MD, editor, Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. Vol. 2025. American Institute of Physics Inc. 2018. 070004 https://doi.org/10.1063/1.5064916
Knyazeva, A. / Coupling model of coating synthesis on a plane substrate. Application of Mathematics in Technical and Natural Sciences: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018. editor / Michail D. Todorov. Vol. 2025 American Institute of Physics Inc., 2018.
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