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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 2(23), Pages 74–82
DOI: https://doi.org/10.14498/vsgtu942
(Mi vsgtu942)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mechanics of Solids

Multipoint moment functions of structural properties for polydisperse composites

M. A. Tashkinov

Dept. of Mechanics of Composition Materials and Structures, Perm State Technical University, Perm
Full-text PDF (533 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: The stochastic boundary-value problem of elasticity theory for two-phase polydisperse composites is stated. The solution method with using high order moment functions is described. Algorithm of synthesis of $n$-order moment functions for 3D structures is presented. Approximating expression for moment functions is suggested. Examples of calculation of high-order moment functions for polydisperse structures are given.
Keywords: composites, moment functions, random polydisperse structure, 3D models, boundary-value problem, approximation.
Original article submitted 25/III/2011
revision submitted – 16/V/2011
Bibliographic databases:
Document Type: Article
UDC: 539.3
MSC: 74A40, 74B20
Language: Russian
Citation: M. A. Tashkinov, “Multipoint moment functions of structural properties for polydisperse composites”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 74–82
Citation in format AMSBIB
\Bibitem{Tas11}
\by M.~A.~Tashkinov
\paper Multipoint moment functions of structural properties for polydisperse composites
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 74--82
\mathnet{http://mi.mathnet.ru/vsgtu942}
\crossref{https://doi.org/10.14498/vsgtu942}
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  • https://www.mathnet.ru/eng/vsgtu942
  • https://www.mathnet.ru/eng/vsgtu/v123/p74
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Abstract page:357
    Full-text PDF :209
    References:74
    First page:1
     
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