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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2009, Issue 4(70), Pages 101–113 (Mi vsgu243)  

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

Mechanics

The influence of microstructure of elastic material deformation

N. D. Verveiko, S. A. Shashkina

Dept. of Applied Mathematic and Mechanics, Voronezh State University, Voronezh, 394006, Russia
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Abstract: The paper considers the deformation of elastic material with microstructure. The authors show, that the isolated waves of a deformation fracture or displacement fracture in this material are non-existent, because the solution for a breaking function, set in the mobile surface, is defined by the behavior of the first, second and third gradients for this function. This fact corresponds to the dispersion of elastic waves, or to the different velocity of extension of elastic waves with the different amplitude, depending on their frequencies. As an example of the evaluation of the influence of microstructure on the deflected mode of the material, the displacement of curvilinear strip of small curvature is viewed. It is shown that the displacement and shift in the strip have a linear character in the main part with the superposition of harmonics of low amplutude.
Keywords: elastic material, deformation, microstructure.
Received: 29.01.2009
Revised: 29.01.2009
Document Type: Article
UDC: 539
Language: Russian
Citation: N. D. Verveiko, S. A. Shashkina, “The influence of microstructure of elastic material deformation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2009, no. 4(70), 101–113
Citation in format AMSBIB
\Bibitem{VerSha09}
\by N.~D.~Verveiko, S.~A.~Shashkina
\paper The influence of microstructure of elastic material deformation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2009
\issue 4(70)
\pages 101--113
\mathnet{http://mi.mathnet.ru/vsgu243}
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  • https://www.mathnet.ru/eng/vsgu/y2009/i4/p101
  • 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 университета. Естественнонаучная серия
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    Full-text PDF :50
    References:34
    First page:1
     
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