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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2010, Volume 51, Issue 2, Pages 27–38 (Mi pmtf1580)  
This article is cited in 5 scientific papers (total in 5 papers)

Solid-phase combustion in a plane stress state. 1. Stationary combustion wave

A. G. Knyazeva

Institute of Strength Physics and Material Science, Siberian Division, Russian Academy of Sciences, Tomsk, 634021, Russia
Full-text PDF (263 kB) Citations (5)
Abstract: A model that describes propagation of the conversion front in a generalized plane stress state typical for technological conditions of coating synthesis on a substrate, with allowance for the coupled character of heat transfer and deformation without external mechanical loading, is proposed. A stationary solution is obtained in the approximation of a narrow combustion front. Ranges of model parameters where the temperature of reaction products and the components of stress and strain tensors behave differently are identified.
Keywords: synthesis of coatings on a substrate, solid-phase combustion, plane stress state.
Received: 19.05.2009
English version:
Journal of Applied Mechanics and Technical Physics, 2010, Volume 51, Issue 2, Pages 164–173
DOI: https://doi.org/10.1007/s10808-010-0025-y
Bibliographic databases:
Document Type: Article
UDC: 536.46+531
Language: Russian
Citation: A. G. Knyazeva, “Solid-phase combustion in a plane stress state. 1. Stationary combustion wave”, Prikl. Mekh. Tekh. Fiz., 51:2 (2010), 27–38; J. Appl. Mech. Tech. Phys., 51:2 (2010), 164–173
Citation in format AMSBIB
\Bibitem{Kny10}
\by A.~G.~Knyazeva
\paper Solid-phase combustion in a plane stress state. 1.~Stationary combustion wave
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2010
\vol 51
\issue 2
\pages 27--38
\mathnet{http://mi.mathnet.ru/pmtf1580}
\elib{https://elibrary.ru/item.asp?id=15285681}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2010
\vol 51
\issue 2
\pages 164--173
\crossref{https://doi.org/10.1007/s10808-010-0025-y}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1580
  • https://www.mathnet.ru/eng/pmtf/v51/i2/p27
    Cycle of papers
    This publication is cited in the following 5 articles:
    1. Anna G. Knyazeva, Advanced Structured Materials, 198, Advances in Linear and Nonlinear Continuum and Structural Mechanics, 2023, 215  crossref
    2. Valeriy Savin, Lyudmila Savina, Viktoria Chaika, Valeriy Likhoshva, Dmitriy Glushkov, Elena Reinthal, AIP Conference Proceedings, 2103, 2019, 020017  crossref
    3. Svetlana N. Sorokova, AIP Conference Proceedings, 1783, 2016, 020217  crossref
    4. Svetlana N. Sorokova, “Mathematical Modeling of the Solid Phase Sintering of Ti and Cu Powders in the Controlled Heating Conditions”, AMR, 1040 (2014), 500  crossref
    5. A. G. Knyazeva, “Solid-phase combustion in a plane stress state. 2. Stability to small perturbations”, J. Appl. Mech. Tech. Phys., 51:3 (2010), 317–323  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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