Solution of plane nonlinear stochastic problem with spectral representation method

Solution of plane nonlinear stochastic problem with spectral representation method

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...

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Main Authors: N. N. Popov, L. V. Kovalenko, M. A. Yashin
Format: Article
Language:English
Published: Samara State Technical University 2009-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu709
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spelling doaj-6fcbd28c6f6040c8a9a98f78aaf4bace2020-11-24T21:51:49ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812009-06-012(19)9910610.14498/vsgtu709Solution of plane nonlinear stochastic problem with spectral representation methodN. N. PopovL. V. KovalenkoM. A. YashinSolution 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.http://mi.mathnet.ru/eng/vsgtu709
collection DOAJ
language English
format Article
sources DOAJ
author N. N. Popov
L. V. Kovalenko
M. A. Yashin
spellingShingle N. N. Popov
L. V. Kovalenko
M. A. Yashin
Solution of plane nonlinear stochastic problem with spectral representation method
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet N. N. Popov
L. V. Kovalenko
M. A. Yashin
author_sort N. N. Popov
title Solution of plane nonlinear stochastic problem with spectral representation method
title_short Solution of plane nonlinear stochastic problem with spectral representation method
title_full Solution of plane nonlinear stochastic problem with spectral representation method
title_fullStr Solution of plane nonlinear stochastic problem with spectral representation method
title_full_unstemmed Solution of plane nonlinear stochastic problem with spectral representation method
title_sort solution of plane nonlinear stochastic problem with spectral representation method
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2009-06-01
description 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.
url http://mi.mathnet.ru/eng/vsgtu709
work_keys_str_mv AT nnpopov solutionofplanenonlinearstochasticproblemwithspectralrepresentationmethod
AT lvkovalenko solutionofplanenonlinearstochasticproblemwithspectralrepresentationmethod
AT mayashin solutionofplanenonlinearstochasticproblemwithspectralrepresentationmethod
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