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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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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2014, Issue 1(34), Pages 86–92 (Mi vsgtu1202)  

Mechanics of Solids

Reliability Evaluation of Stochastically Heterogeneous Thick-walled Pipe by Long-term Strength Criterion

N. N. Popov, L. V. Kovalenko

Samara State Technical University, Samara, 443100, Russian Federation

Abstract: We have developed a method of probabilistic reliability evaluation of microheterogeneous thick-walled pipe, based on the already received solution of the stochastic creep boundary value problem. The rheological properties of the material were described using random function of one variable (radius $r$). Damage parameter $0\leq\omega(t)\leq1$ was introduced here to study the process of degradation of the material during creep stage. Also the power law of the rate of $\omega(t)$ change on the equivalent stress $\sigma_{eq}$, determined by Sdobyrev criterion, is assigned. The reliability evaluation is made by the mean integral value of the equivalent stress. We have found a random time before destruction and its distribution function, which was approximated by lognormal law. The problem of the probability of failure-free operation was calculated for a thick-walled microheterogeneous pipe with the specified parameters. The obtained results allow to evaluate reliability of stochastically inhomogeneous axisymmetric structural elements if necessary statistical data are obtained from the experiment.

Keywords: steady-creep state, thick-walled pipe, microheterogeneous material, stochastic boundary value problem, long-term strength, reliability function

Funding Agency Grant Number
Russian Foundation for Basic Research 13-01-00699
This work is supported by RFBR, project no. 13–01–00699–a.


DOI: https://doi.org/10.14498/vsgtu1202

Full text: PDF file (550 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 539.376
MSC: Primary 74D10, 74S60; Secondary 74R20, 74E35, 74E05
Original article submitted 20/XII/2013
revision submitted – 21/II/2014

Citation: N. N. Popov, L. V. Kovalenko, “Reliability Evaluation of Stochastically Heterogeneous Thick-walled Pipe by Long-term Strength Criterion”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(34) (2014), 86–92

Citation in format AMSBIB
\Bibitem{PopKov14}
\by N.~N.~Popov, L.~V.~Kovalenko
\paper Reliability Evaluation of Stochastically Heterogeneous Thick-walled Pipe by Long-term Strength Criterion
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2014
\vol 1(34)
\pages 86--92
\mathnet{http://mi.mathnet.ru/vsgtu1202}
\crossref{https://doi.org/10.14498/vsgtu1202}
\zmath{https://zbmath.org/?q=an:06968827}
\elib{http://elibrary.ru/item.asp?id=22813962}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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