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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.], 2009 Issue 2(19), Pages 99–106 (Mi vsgtu709)

This article is cited in 3 papers

Mechanics of Solids

Solution of plane nonlinear stochastic problem with spectral representation method

N. N. Popov, L. V. Kovalenko, M. A. Yashin

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara

Abstract: Solution of a stress condition of stochastic heterogeneous plate problem was obtained on the basis of statistic linearization of determinative creep equation and by using a method of spectral representation of random functions. Stochasticity is introduced into determinative creep equation by random function of two variables. It was proved, that stochastic nonhomogeneities of material can lead to significant fluctuations of stress fields.

Keywords: steady creep stage, statistic linearization, stochastic problem, spectral representation of variate.

UDC: 539.376

MSC: 74E35, 74K20

Original article submitted 20/VII/2009
revision submitted – 27/IX/2009

DOI: 10.14498/vsgtu709



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