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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 4(29), Pages 72–86 (Mi vsgtu1113)  

Mechanics of Solids

Generalized stochastic model of creep and creep rupture beams in pure bending and its application to the estimation of reliability

V. P. Radchenko, M. V. Shershneva, V. V. Tsvetkov

Samara State Technical University, Samara, Russia

Abstract: Generalized stochastic model of creep and creep rupture beams under pure bending in terms “generalized load”, “generalized displacement”, “time” is offered. Beam is considered as a single entity (the specific model). The complete analogy between the curves of uniaxial creep sample under constant stress and generalized creep curves beams in the curvature of the beam coordinates “curvature beams— time” under the constant bending moment is determined. On the basis of this analogy the stochastic equation of state beam is formed. Method of reliability estimating of the beams bending under creep on parametric criteria of failure in a significant scatter of the data is developed. Calculation results and recommendations for lifelength assigning are presented.

Keywords: сreep, rupture strength, stochastic generalized model beams, pure bending, reliability, parametric failure criterion, the probability of failure-free operation

DOI: https://doi.org/10.14498/vsgtu1113

Full text: PDF file (320 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 539.376+539.434
MSC: Primary 74S60; Secondary 74K10, 60H30
Original article submitted 04/IX/2012
revision submitted – 27/XI/2012

Citation: V. P. Radchenko, M. V. Shershneva, V. V. Tsvetkov, “Generalized stochastic model of creep and creep rupture beams in pure bending and its application to the estimation of reliability”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 4(29) (2012), 72–86

Citation in format AMSBIB
\Bibitem{RadSheTsv12}
\by V.~P.~Radchenko, M.~V.~Shershneva, V.~V.~Tsvetkov
\paper Generalized stochastic model of creep and creep rupture beams in pure bending and its application to the estimation of reliability
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 4(29)
\pages 72--86
\mathnet{http://mi.mathnet.ru/vsgtu1113}
\crossref{https://doi.org/10.14498/vsgtu1113}


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