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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 1, Pages 161–171 (Mi pmtf2121)  
This article is cited in 12 scientific papers (total in 12 papers)

Solution of the stochastic boundary-value problem of steady-state creep for a thick-walled tube using the small-parameter method

A. A. Dolzhkovoi, N. N. Popov, V. P. Radchenko

Samara State Technical University, Samara, 443100, Russia
Full-text PDF (223 kB) Citations (12)
Abstract: The physically and statistically nonlinear problem of steady-state creep for a thick-walled tube loaded by internal pressure is solved in the third approximation using the small-parameter method. The variances of random creep strain rates and displacements are calculated. The results obtained are compared with the solution of the same problem in the first and second approximations. A reliability assessment method for the tube using the strain failure criteria is proposed.
Keywords: stochastic heterogeneity, statistical nonlinearity, steady-state creep, thick-walled tube, boundary-value problem, small-parameter method.
Received: 22.03.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 1, Pages 134–142
DOI: https://doi.org/10.1007/s10808-006-0017-0
Bibliographic databases:
Document Type: Article
UDC: 539.376
Language: Russian
Citation: A. A. Dolzhkovoi, N. N. Popov, V. P. Radchenko, “Solution of the stochastic boundary-value problem of steady-state creep for a thick-walled tube using the small-parameter method”, Prikl. Mekh. Tekh. Fiz., 47:1 (2006), 161–171; J. Appl. Mech. Tech. Phys., 47:1 (2006), 134–142
Citation in format AMSBIB
\Bibitem{DolPopRad06}
\by A.~A.~Dolzhkovoi, N.~N.~Popov, V.~P.~Radchenko
\paper Solution of the stochastic boundary-value problem of steady-state creep for a thick-walled tube using the small-parameter method
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 1
\pages 161--171
\mathnet{http://mi.mathnet.ru/pmtf2121}
\elib{https://elibrary.ru/item.asp?id=16546844}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 1
\pages 134--142
\crossref{https://doi.org/10.1007/s10808-006-0017-0}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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