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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 4(25), Pages 50–58
DOI: https://doi.org/10.14498/vsgtu1020 (Mi vsgtu1020) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics of Solids

Solution of nonlinear creep problem for stochastically inhomogeneous plane on the basis of the second approximation for small parameter method

N. N. Popov, O. Chernova

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1020
Abstract: The analytical method for nonlinear stochastic creep problem solving for a plane stressed state was developed. Stochasticity was introduced into the determinative creep equation, which was taken in accordance with the nonlinear theory of viscous flow, through a homogeneous random function of coordinates. The problem was solved on the basis of the second approximation for small parameter method in stress tensor components. The main statistical characteristics of the random stress field were calculated. The analysis of the results in the first and second approximations was obtained.
Keywords: stochastic problem, steady-state creep, small parameter method, second approximation, random stress field.
Original article submitted 22/X/2011
revision submitted – 01/XII/2011
Bibliographic databases:
Document Type: Article
UDC: 539.376
MSC: Primary 35Q74; Secondary 74E35, 74K20
Language: Russian
Citation: N. N. Popov, O. Chernova, “Solution of nonlinear creep problem for stochastically inhomogeneous plane on the basis of the second approximation for small parameter method”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(25) (2011), 50–58
Citation in format AMSBIB
\Bibitem{PopChe11}
\by N.~N.~Popov, O.~Chernova
\paper Solution of nonlinear creep problem for stochastically inhomogeneous plane on the basis of the second approximation for small parameter method
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 4(25)
\pages 50--58
\mathnet{http://mi.mathnet.ru/vsgtu1020}
\crossref{https://doi.org/10.14498/vsgtu1020}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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