Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law
The approximate solution of the mode II crack problem in a linear-fractional law of creeping material under plane stress conditions is demonstrated. The stress field in the vicinity of the mode II crack tip is obtained. It is demonstrated that the near crack tip fields consist of four wedge-shape re...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2008-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu404 |
| _version_ | 1819043858147704832 |
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| author | L. V. Stepanova |
| author_facet | L. V. Stepanova |
| author_sort | L. V. Stepanova |
| collection | DOAJ |
| description | The approximate solution of the mode II crack problem in a linear-fractional law of creeping material under plane stress conditions is demonstrated. The stress field in the vicinity of the mode II crack tip is obtained. It is demonstrated that the near crack tip fields consist of four wedge-shape regions. The sectors can be assembled subject to the boundary conditions and continuity of tractions across the sectors boundaries. The comparison of the analytical and numerical solutions is given. The creep strain rate tensor components in the neighborhood of the crack tip are shown to be singular ε˙∼r−α. The singularity exponent α varies discretely from 1 to 1/2. |
| first_indexed | 2024-12-21T10:03:27Z |
| format | Article |
| id | doaj.art-4ed9ace5ee3a4015a587c178c21022b7 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-21T10:03:27Z |
| publishDate | 2008-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-4ed9ace5ee3a4015a587c178c21022b72022-12-21T19:07:53ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812008-06-012(17)9410910.14498/vsgtu404Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional lawL. V. StepanovaThe approximate solution of the mode II crack problem in a linear-fractional law of creeping material under plane stress conditions is demonstrated. The stress field in the vicinity of the mode II crack tip is obtained. It is demonstrated that the near crack tip fields consist of four wedge-shape regions. The sectors can be assembled subject to the boundary conditions and continuity of tractions across the sectors boundaries. The comparison of the analytical and numerical solutions is given. The creep strain rate tensor components in the neighborhood of the crack tip are shown to be singular ε˙∼r−α. The singularity exponent α varies discretely from 1 to 1/2.http://mi.mathnet.ru/eng/vsgtu404 |
| spellingShingle | L. V. Stepanova Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| title | Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law |
| title_full | Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law |
| title_fullStr | Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law |
| title_full_unstemmed | Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law |
| title_short | Refined estimatation of the mode II crack tip stress field at plane stress conditions for a steady state creep linear-fractional law |
| title_sort | refined estimatation of the mode ii crack tip stress field at plane stress conditions for a steady state creep linear fractional law |
| url | http://mi.mathnet.ru/eng/vsgtu404 |
| work_keys_str_mv | AT lvstepanova refinedestimatationofthemodeiicracktipstressfieldatplanestressconditionsforasteadystatecreeplinearfractionallaw |