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This article is cited in 3 scientific papers (total 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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Original article submitted 20/VII/2009 revision submitted – 27/IX/2009
Citation:
N. N. Popov, L. V. Kovalenko, M. A. Yashin, “Solution of plane nonlinear stochastic problem with spectral representation method”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 99–106
Linking options:
https://www.mathnet.ru/eng/vsgtu709 https://www.mathnet.ru/eng/vsgtu/v119/p99
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