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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.], 2012, Issue 3(28), Pages 53–71 (Mi vsgtu1094)  

This article is cited in 6 scientific papers (total in 6 papers)

Mechanics of Solids

Evaluation of the reliability of structures under creep for stochastic generalized models

V. P. Radchenko, M. V. Shershneva, S. N. Kubyshkina

Samara State Technical University, Samara, Russia

Abstract: The nonlinear stochastic model of uniaxial creep and creep rupture strength with three stages of deformation is suggested. The method for the identification of stochastic parameters of model by series of experimental creep curves is developed. The stochastic linearization of model for analytical evaluation of the probability of no-failure for stretchable rod by deformation criterion is obtained. The checking of accordance of the method with the experimental data for the creep of samples made of 12Kh18N10T steel under temperature $ 850 ^\circ C$ is implemented. The generalization of the approach developed to describe the deformation of structural elements of constructions in terms “generalized load, generalized displacement, time” is obtained. The feature is considered as a unit (specific sample with complex structure). A complete analogy between the curves of uniaxial creep model and generalized creep curves in coordinates “generalized displacement – time” is established for fixed values of the generalized displacement for a feature. Based on the analogy, the generalized stochastic model of rheological deformation of structural elements is proposed. The method for evaluating the reliability of structural elements under creep on parametric failure criteria, implemented in the model example of creep of thick-walled tubes under internal pressure, is developed. The results of the calculations and recommendations for operation life defining are given.

Keywords: creep, creep rupture strength, stochastic model, linearization, structural element, reliability, parametric failure criterion, probability of no-failure, steady creep stage

DOI: https://doi.org/10.14498/vsgtu1094

Full text: PDF file (368 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

Document Type: Article
UDC: 539.376+539.434
MSC: Primary 74S60; Secondary 74K10, 60H30
Original article submitted 31/V/2012
revision submitted – 27/VII/2012

Citation: V. P. Radchenko, M. V. Shershneva, S. N. Kubyshkina, “Evaluation of the reliability of structures under creep for stochastic generalized models”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012), 53–71

Citation in format AMSBIB
\Bibitem{RadSheKub12}
\by V.~P.~Radchenko, M.~V.~Shershneva, S.~N.~Kubyshkina
\paper Evaluation of the reliability of structures under creep for stochastic generalized models
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 3(28)
\pages 53--71
\mathnet{http://mi.mathnet.ru/vsgtu1094}
\crossref{https://doi.org/10.14498/vsgtu1094}
\zmath{https://zbmath.org/?q=an:06517520}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. K. A. Tsapurin, “Raschet pokazatelei nadezhnosti truboprovodnykh sistem s uchetom treschinopodobnykh defektov i slozhnykh uslovii ekspluatatsii”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 4(29) (2012), 154–161  mathnet  crossref
    2. V. P. Radchenko, M. V. Shershneva, V. V. Tsvetkov, “Obobschennaya stokhasticheskaya model polzuchesti i dlitelnoi prochnosti balki v usloviyakh chistogo izgiba i ee primenenie k otsenke pokazatelei nadezhnosti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 4(29) (2012), 72–86  mathnet  crossref
    3. I. A. Doyar, V. P. Poshivalov, “Variant veroyatnostnoi otsenki vremeni do razrusheniya pri polzuchesti”, Tekhnicheskaya mekhanika, 2013, no. 2, 99–108 http://dspace.nbuv.gov.ua/handle/123456789/88395
    4. V. P. Radchenko, “Obobschennye stokhasticheskie modeli polzuchesti i dlitelnoi prochnosti elementov konstruktsii”, Materialy VIII Vserossiiskoi konferentsii po mekhanike deformiruemogo tverdogo tela. Ch. 2 (Cheboksary, 16–21 iyunya 2014 g.), eds. N. F. Morozov, B. G. Mironov, A. V. Manzhirov, Chuvash. gos. ped. un-t, Cheboksary, 2014, 156–158 http://mdtt2014.chgpu.edu.ru/p2.pdf#page=156
    5. I. A. Doyar, V. P. Poshivalov, “Prognozirovanie dolgovechnosti stali 12Kh18N10T pri izotermicheskoi polzuchesti v usloviyakh odnoosnogo rastyazheniya”, Tekhnicheskaya mekhanika, 2014, no. 1, 84–94 http://dspace.nbuv.gov.ua/handle/123456789/88469
    6. I. Doyar, V. Poshyvalov, “Development of a stochastic model of failure of structural materials in creep at hardening stage”, EasternEuropean Journal of Enterprise Technologies, 3:5-81 (2016), 25–31  crossref  scopus
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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