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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2009-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu709 |
| _version_ | 1818192611404414976 |
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| author | N. N. Popov L. V. Kovalenko M. A. Yashin |
| author_facet | N. N. Popov L. V. Kovalenko M. A. Yashin |
| author_sort | N. N. Popov |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-12T00:33:15Z |
| format | Article |
| id | doaj.art-6fcbd28c6f6040c8a9a98f78aaf4bace |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T00:33:15Z |
| publishDate | 2009-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-6fcbd28c6f6040c8a9a98f78aaf4bace2022-12-22T00:44:25ZengSamara 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 |
| 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 |
| title | 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_short | Solution of plane nonlinear stochastic problem with spectral representation method |
| title_sort | solution of plane nonlinear stochastic problem with spectral representation method |
| url | http://mi.mathnet.ru/eng/vsgtu709 |
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