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Matem. Mod., 2012, Volume 24, Number 5, Pages 3–20 (Mi mm3245)  

This article is cited in 5 scientific papers (total in 5 papers)

Multiscale modeling of elastic composite materials

Yu. I. Dimitrienko, A. P. Sokolov

Bauman Moscow State Technical University

Abstract: A new homogenization method for periodical multiscale hierarchical structures is proposed. The method allows to obtain effective elastic properties of composite materials with multiscale hierarchical inner structure. Recurrent consequences of local and averaged elastic problems for series of periodicity cells are formulated. Multiscale finite element analysis for local problems was carried out. Computed results of multiscale analysis for the two-scale model of textile composite material are presented.

Keywords: multiscale homogenization method, finite element analysis, effective elastic properties of composite materials.

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Bibliographic databases:
UDC: 539.3
Received: 23.06.2011

Citation: Yu. I. Dimitrienko, A. P. Sokolov, “Multiscale modeling of elastic composite materials”, Matem. Mod., 24:5 (2012), 3–20

Citation in format AMSBIB
\Bibitem{DimSok12}
\by Yu.~I.~Dimitrienko, A.~P.~Sokolov
\paper Multiscale modeling of elastic composite materials
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 5
\pages 3--20
\mathnet{http://mi.mathnet.ru/mm3245}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3025816}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. I. B. Petrov, A. V. Vasyukov, K. A. Beklemysheva, A. S. Ermakov, A. S. Dzyuba, V. I. Golovan, “Chislennoe modelirovanie dinamicheskikh protsessov pri nizkoskorostnom udare po kompozitnoi stringernoi paneli”, Matem. modelirovanie, 26:9 (2014), 96–110  mathnet
    2. Yu. I. Dimitrienko, E. A. Gubareva, S. V. Sborschikov, “Konechno-elementnoe modelirovanie effektivnykh vyazkouprugikh svoistv odnonapravlennykh kompozitsionnykh materialov”, Mat. modelir. i chisl. metody, 2014, no. 2, 28–48  mathnet
    3. Yu. I. Dimitrienko, E. A. Gubareva, S. V. Sborschikov, V. S. Erasov, N. O. Yakovlev, “Chislennoe modelirovanie i ekperimentalnoe issledovanie deformirovaniya uprugoplasticheskikh plastin pri smyatii”, Mat. modelir. i chisl. metody, 2015, no. 5, 67–82  mathnet
    4. Yu. I. Dimitrienko, S. V. Sborschikov, E. A. Gubareva, E. S. Egoleva, A. A. Maltseva, “Mnogomasshtabnoe modelirovanie vysokotemperaturnykh uprugo-prochnostnykh svoistv kompozitsionnykh materialov na neorganicheskoi matritse”, Matem. modelirovanie, 27:11 (2015), 3–20  mathnet  elib
    5. A. P. Sokolov, V. N. Schetinin, A. S. Sapelkin, “Parallelnyi algoritm rekonstruktsii poverkhnosti prochnosti kompozitsionnykh materialov dlya arkhitektury Intel MIC (Intel Many Integrated Core Architecture)”, Programmnye sistemy: teoriya i prilozheniya, 7:2 (2016), 3–25  mathnet
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