Non-linear stochastic problem of the half-space extension under creep condition
The creep boundary value problem of the stochastically inhomogeneous half-space extension is studied. We assume that the bounding space is free from stress. The problem is solved using the method of small parameter at a first approximation. Using the constructed solution we make the statistical anal...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2007-03-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu488 |
| _version_ | 1819057817062998016 |
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| author | N. N. Popov L. V. Kovalenko |
| author_facet | N. N. Popov L. V. Kovalenko |
| author_sort | N. N. Popov |
| collection | DOAJ |
| description | The creep boundary value problem of the stochastically inhomogeneous half-space extension is studied. We assume that the bounding space is free from stress. The problem is solved using the method of small parameter at a first approximation. Using the constructed solution we make the statistical analysis of the stress field on the medium boundary, research the main features of the boundary effect causing by the stochastic non-inhomogeneities of material. We show that near the half-space boundary the dispersion of stresses is much more than in the deeper layers. The received results allow the adequate valuation of the stress-strain state of inhomogeneous medium near its boundary. |
| first_indexed | 2024-12-21T13:45:20Z |
| format | Article |
| id | doaj.art-3dde6cba6e224c59b773431a89fe133e |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-21T13:45:20Z |
| publishDate | 2007-03-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-3dde6cba6e224c59b773431a89fe133e2022-12-21T19:01:53ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812007-03-011(14)566110.14498/vsgtu488Non-linear stochastic problem of the half-space extension under creep conditionN. N. PopovL. V. KovalenkoThe creep boundary value problem of the stochastically inhomogeneous half-space extension is studied. We assume that the bounding space is free from stress. The problem is solved using the method of small parameter at a first approximation. Using the constructed solution we make the statistical analysis of the stress field on the medium boundary, research the main features of the boundary effect causing by the stochastic non-inhomogeneities of material. We show that near the half-space boundary the dispersion of stresses is much more than in the deeper layers. The received results allow the adequate valuation of the stress-strain state of inhomogeneous medium near its boundary.http://mi.mathnet.ru/eng/vsgtu488 |
| spellingShingle | N. N. Popov L. V. Kovalenko Non-linear stochastic problem of the half-space extension under creep condition Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Non-linear stochastic problem of the half-space extension under creep condition |
| title_full | Non-linear stochastic problem of the half-space extension under creep condition |
| title_fullStr | Non-linear stochastic problem of the half-space extension under creep condition |
| title_full_unstemmed | Non-linear stochastic problem of the half-space extension under creep condition |
| title_short | Non-linear stochastic problem of the half-space extension under creep condition |
| title_sort | non linear stochastic problem of the half space extension under creep condition |
| url | http://mi.mathnet.ru/eng/vsgtu488 |
| work_keys_str_mv | AT nnpopov nonlinearstochasticproblemofthehalfspaceextensionundercreepcondition AT lvkovalenko nonlinearstochasticproblemofthehalfspaceextensionundercreepcondition |