 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V.V. Vasil'ev, "Torsion of a Square Isotropic Plate by Forces Applied at the Corners and by Distributed Torques," Mech. Solids. 52 (2), 134-143 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
2 |
Pages |
134-143 |
| DOI |
10.3103/S0025654417020030 |
| Title |
Torsion of a Square Isotropic Plate by Forces Applied at the Corners and by Distributed Torques |
| Author(s) |
V.V. Vasil'ev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, vvvas@dol.ru) |
| Abstract |
We consider the classical problem of the theory of elastic plates, namely, the problem on the torsion of a square isotropic plane by forces applied at the corners. The traditional solution of this problem based on the classical theory of plates and Kirchhoff and Thomson-Tait transformations is compared with the solution obtained in the improved theory of plates and with experimental results. The solution, which does not exist in the classical theory of plates, of the problem on the torsion of a plate by torques uniformly distributed over the plate contour is presented as well. |
| Keywords |
theory of plates, plate torsion problem |
| References |
| 1. | S. P. Timoshenko,
History of the Material Strength Science
(URSS, Moscow, 2001)
[in Russian]. |
| 2. | A. Nadai,
Die elastischen Platten
(Verlag von Julius Springer, Berlin, 1925). |
| 3. | S. P. Timoshenko and S. Woinowsky-Krieger,
Theory of Plates and Shells
(McGraw-Hill, New York, 1959; Fizmatgiz, Moscow, 1963). |
| 4. | Yu. M. Tarnopol'skii (Editor),
Methods for Static Tests of Reinforced Plastics, Reference Book
(Zinatne, Riga, 1972)
[in Russian]. |
| 5. | V. V. Vasil'ev,
"Kirchhoff and Thomson-Tait Transformations in the Classical Theory of Plates,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 98-107 (2012)
[Mech. Solids (Engl. Transl.)
47 (5), 571-579 (2012)]. |
| 6. | V. V. Vasil'ev,
"On the Theory of Thin Plates,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 26-47 (1992)
[Mech. Solids (Engl. Transl.)]. |
|
| Received |
15 July 2015 |
| Link to Fulltext |
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