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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 3(28), Pages 53–71
DOI: https://doi.org/10.14498/vsgtu1094
(Mi vsgtu1094)
 

This article is cited in 7 scientific papers (total in 7 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
Full-text PDF (368 kB) Citations (7)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
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 $\rm 850\,^\circ C$ 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.
Original article submitted 31/V/2012
revision submitted – 27/VII/2012
Bibliographic databases:
Document Type: Article
UDC: 539.376+539.434
MSC: Primary 74S60; Secondary 74K10, 60H30
Language: Russian
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}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu1094
  • https://www.mathnet.ru/eng/vsgtu/v128/p53
  • This publication is cited in the following 7 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
    Statistics & downloads:
    Abstract page:632
    Full-text PDF :280
    References:61
    First page:1
     
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