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Matematicheskoe modelirovanie, 1995, Volume 7, Number 4, Pages 53–63 (Mi mm1685)  

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

Mathematical models and computer experiment

A scale-invariance of the relaxation times hierarchy of viscoelastic substances

M. M. Khasanov

Baku State University
Full-text PDF (961 kB) Citations (1)
Abstract: It is shown that the hierarchy of relaxation times of viscoelastic substances has fractal (scale-invariant) structure. This property simplifies the description of viscoelastic substances, giving us a posibility to use universal relaxation functions which can be calculated very easily. It is shown that a self-similar dynamics of the relaxation processes can be governed by the equations which contain fractional-order derivatives.
Received: 25.06.1992
Bibliographic databases:
UDC: 533.539
Language: Russian
Citation: M. M. Khasanov, “A scale-invariance of the relaxation times hierarchy of viscoelastic substances”, Matem. Mod., 7:4 (1995), 53–63
Citation in format AMSBIB
\Bibitem{Kha95}
\by M.~M.~Khasanov
\paper A~scale-invariance of the relaxation times hierarchy of viscoelastic substances
\jour Matem. Mod.
\yr 1995
\vol 7
\issue 4
\pages 53--63
\mathnet{http://mi.mathnet.ru/mm1685}
\zmath{https://zbmath.org/?q=an:0974.74514}
Linking options:
  • https://www.mathnet.ru/eng/mm1685
  • https://www.mathnet.ru/eng/mm/v7/i4/p53
  • 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
    Математическое моделирование
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    Abstract page:353
    Full-text PDF :171
    First page:1
     
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