 | | 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 49, Issue 2 / 2014 | Next article >> |
| O.M. Palii, "A Version of Applied Theory of Thick Shells," Mech. Solids. 49 (2), 187-195 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
2 |
Pages |
187-195 |
| DOI |
10.3103/S002565441$020083 |
| Title |
A Version of Applied Theory of Thick Shells |
| Author(s) |
O.M. Palii (Krylov Shipbuilding Research Institute, Moskovskoe sh. 44, St. Petersburg, 196158 Russia, krylov@krylov.spb.ru) |
| Abstract |
A version of an applied theory of shells of large thickness based on the introduction of force and kinematic hypotheses completing and extending the set of Love-Kirchhoff and Timoshenko-Reissner hypotheses is discussed. The complete system of equations including the elasticity relations, the geometric relations (displacements and strains), and the equilibrium equations is written out. The obtained system of equations is verified in several special cases. It is noted that the error of this theory does not exceed the squared thickness-to-radius ratio compared with unity. |
| Keywords |
shell, relative thickness, kinematic and force hypotheses, displacement, strain, stress, system of equations |
| References |
| 1. | V. V. Novoshilov,
"On an Error of a Hypothesis in the Theory of Shells,"
Dokl. Akad. Nauk SSSR
38 (5-6), 174-179 (1943). |
| 2. | V. V. Novoshilov and R. M. Finkel'shtein,
"On an Error of Kirchhoff Hypothesis in the Theory of Shells,"
Prikl. Mat. Mekh.
7 (5), 331-340 (1943)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 3. | O. Yu. Kalekin,
"To the Approximate Theory of Shells of Medium Thickness,"
Prikl. Mekh.
1 (12), 29-37 (1965)
[Int. Appl. Mech. (Engl. Transl.)]. |
| 4. | V. V. Ponyatovskii,
"On a Method for Constructing Two-Dimensional Theory of Shells
by Using Legendre Polynomials,"
in Novozhilov Collection of Papers
(Sudostroenie, St. Petersburg, 1992)
[in Russian]. |
| 5. | V. V. Pikul,
Applied Mechanics of Deformable Solid
(Nauka, Moscow, 1989)
[in Russian]. |
| 6. | V. A. Rodionova, B. F. Titaev, and K. F. Chernykh,
Applied Theory of Anisotropic Plates and Shells
(Izd-vo St. Petersburg Univ., St. Petersburg, 1996)
[in Russian]. |
| 7. | O. M. Palii and V. E. Spiro,
Anisotropic Shells in Shipbuilding
(Sudostroenie, Leningrad, 1977)
[in Russian]. |
| 8. | V. V. Novozhilov,
Theory of Thin Shells
(Izdat. St. Petersburg Univ., St. Petersburg, 2009)
[in Russian]. |
|
| Received |
11 May 2011 |
| Link to Fulltext |
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