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Eurasian Journal of Mathematical and Computer Applications, 2018, Volume 6, Issue 2, Pages 43–80
DOI: https://doi.org/10.32523/2306-6172-2018-6-2-43-80 (Mi ejmca114) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Methods of nonlinear dynamics of nonequilibrium processes in fracture mechanics

E. V. Radkevicha, O. A. Vasil'evab, E. A. Lukashevc, M. A. Sidorovc

a Moscow State University, Faculty of Mechanics and Mathematics Russia, 119899, Moscow, Vorob’evy gory
b Moscow State University of Civil Engineering Russia, 129337, Moscow, Yaroslavskoe shosse, 26
c FKP NII «Geodesy» 41292, Moscow region, Krasnoarmeysk city, Testers avenue, 14, Russia
Full-text PDF (14915 kB) Citations (1)
DOI: https://doi.org/10.32523/2306-6172-2018-6-2-43-80
Abstract: The initial phase of instability in the structure of a solid in the form of a fracture process of the structure material as a nonequilibrium phase transition which depends on the spinodal decomposition (diffusion separation into two pases with different degradation factor) is reconstructed.
Keywords: a fracture mechanics, nonequilibrium phase transitions, the Kahn-Hillard model, diffusion fibration, the Ginzburg-Landau potential, Gibbs free energy.
Received: 02.04.2018
Accepted: 12.04.2018
Bibliographic databases:
Document Type: Article
MSC: 76E09, 76F35, 82C26
Language: English
Citation: E. V. Radkevich, O. A. Vasil'eva, E. A. Lukashev, M. A. Sidorov, “Methods of nonlinear dynamics of nonequilibrium processes in fracture mechanics”, Eurasian Journal of Mathematical and Computer Applications, 6:2 (2018), 43–80
Citation in format AMSBIB
\Bibitem{RadVasLuk18}
\by E.~V.~Radkevich, O.~A.~Vasil'eva, E.~A.~Lukashev, M.~A.~Sidorov
\paper Methods of nonlinear dynamics of nonequilibrium processes in fracture mechanics
\jour Eurasian Journal of Mathematical and Computer Applications
\yr 2018
\vol 6
\issue 2
\pages 43--80
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\crossref{https://doi.org/10.32523/2306-6172-2018-6-2-43-80}
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  • https://www.mathnet.ru/eng/ejmca/v6/i2/p43
    • This publication is cited in the following 1 articles:
    1. Olga Vasileva, “Dynamics of Structural Materials Destruction - The Initial Stage”, IOP Conf. Ser.: Mater. Sci. Eng., 661:1 (2019), 012037  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Eurasian Journal of Mathematical and Computer Applications
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    Abstract page:140
    Full-text PDF :86
    References:1
     
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