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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, 2009, Issue 2(19), Pages 99–106
DOI: https://doi.org/10.14498/vsgtu709 (Mi vsgtu709) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mechanics of Solids

Solution of plane nonlinear stochastic problem with spectral representation method

N. N. Popov, L. V. Kovalenko, M. A. Yashin

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara
Full-text PDF (177 kB) Citations (3)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu709
Abstract: Solution of a stress condition of stochastic heterogeneous plate problem was obtained on the basis of statistic linearization of determinative creep equation and by using a method of spectral representation of random functions. Stochasticity is introduced into determinative creep equation by random function of two variables. It was proved, that stochastic nonhomogeneities of material can lead to significant fluctuations of stress fields.
Keywords: steady creep stage, statistic linearization, stochastic problem, spectral representation of variate.
Original article submitted 20/VII/2009
revision submitted – 27/IX/2009
Bibliographic databases:
Document Type: Article
UDC: 539.376
MSC: 74E35, 74K20
Language: Russian
Citation: N. N. Popov, L. V. Kovalenko, M. A. Yashin, “Solution of plane nonlinear stochastic problem with spectral representation method”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 99–106
Citation in format AMSBIB
\Bibitem{PopKovYas09}
\by N.~N.~Popov, L.~V.~Kovalenko, M.~A.~Yashin
\paper Solution of plane nonlinear stochastic problem with spectral representation method
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 99--106
\mathnet{http://mi.mathnet.ru/vsgtu709}
\crossref{https://doi.org/10.14498/vsgtu709}
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  • https://www.mathnet.ru/eng/vsgtu/v119/p99
    • This publication is cited in the following 3 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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    References:38
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