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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

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)

This article is cited in 1 paper

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

UDC: 539.376+539.434

MSC: Primary 74S60; Secondary 74K10, 60H30

Original article submitted 04/IX/2012
revision submitted – 27/XI/2012

DOI: 10.14498/vsgtu1113



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