 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 43, Issue 4 / 2008 | Next article >> |
| V. V. Vasil’ev and L. V. Fedorov, "Geometric elasticity problem of stress concentration in a plate with a circular hole," Mech. Solids. 43 (4), 528-538 (2008) |
| Year |
2008 |
Volume |
43 |
Number |
4 |
Pages |
528-538 |
| DOI |
10.3103/S002565440804002X |
| Title |
Geometric elasticity problem of stress concentration in a plate with a circular hole |
| Author(s) |
V. V. Vasil’ev (Moscow State Aviation Technological University, Orshanskaya 3, Moscow, 121552, Russia)
L. V. Fedorov (Limited Company "News Outdoor", Neverovskogo 9, Moscow, 121170, Russia, llff@mail.ru) |
| Abstract |
We use the geometric elasticity equations [1], which permit relating the medium stress state to the geometry of the Riemannian space generated by the stresses, to consider the plane problem of stress concentration near a circular hole in a thin unbounded plate loaded by normal and tangential stresses. The Riemannian space metric coefficient corresponding to the coordinate normal to the plate plane is treated as the variable thickness of the plate in three-dimensional Euclidean space, which determines the optimal law for the plate material distribution. We consider plates in uniaxial tension, biaxial tension, and shear. For the plate with thickness variation laws thus obtained, we construct direct numerical solutions of the corresponding classical elasticity problems and determine the stress concentration factors. |
| Received |
12 March 2008 |
| Link to Fulltext |
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