 | | 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 4 / 2014 | Next article >> |
| G.M. Kulikov and S.V. Plotnikova, "Solution of Three-Dimensional Problems for Thick Elastic Shells by the Method of Reference Surfaces," Mech. Solids. 49 (4), 403-412 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
4 |
Pages |
403-412 |
| DOI |
10.3103/S0025654414040050 |
| Title |
Solution of Three-Dimensional Problems for Thick Elastic Shells by the Method of Reference Surfaces |
| Author(s) |
G.M. Kulikov (Tambov State Technical University, ul. Sovetskaya 106, Tambov, 392000 Russia, kulikov@apmath.tstu.ru)
S.V. Plotnikova (Tambov State Technical University, ul. Sovetskaya 106, Tambov, 392000 Russia) |
| Abstract |
A new method for solving the elasticity problem for thick and thin shells is proposed. The method is based on the concept of reference surfaces inside the shell. According to this method, N reference surfaces are introduced in the body of the shell so that they are parallel to the midsurface and located at the Chebyshev polynomial nodes, which permits taking the displacement vectors u1,u2,…,uN of these surfaces for the desired functions. This choice of the desired functions allows one to represent the resolving equations of the proposed theory of higher-order shells in a sufficiently concise form and obtain deformation relations which permit describing the shell displacements as motions of a rigid body. |
| Keywords |
theory of elasticity, theory of higher-order shells, method of reference surfaces |
| References |
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Dokl. Ross. Akad. Nauk
439 (5), 613-616 (2011)
[Dokl. Phys. (Engl. Transl.)
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| 3. | G. M. Kulikov and S. V. Plotnikova,
"On the Use of a New Concept of Sampling Surfaces in Shell Theory,"
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35 (4), 435-446 (1999). |
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| 9. | G. M. Kulikov and S. V. Plotnikova.
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[Mech. Solids (Engl. Transl.)
39 (5), 105-113 (2004)]. |
| 13. | G. M. Kulikov and S. V. Plotnikova,
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Part II. Enhanced Finite Element Technique,"
Comput. Meth. Appl. Engng
195 (19-22), 2209-2230 (2006). |
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Theory of Elastic Thin Shells
(Nauka, Moscow, 1976). |
| 15. | G. M. Kulikov and S. V. Plotnikova,
"Equivalent Single-Layer and Layer-Wise Shell Theories and Rigid-Body Motions,"
Mech. Adv. Mater. Struct.
12 (4), 275-283 (2005). |
| 16. | G. M. Kulikov and E. Carrera,
"Finite Deformation Higher Order Shell Models and Rigid-Body Motions,"
Int. J. Solids Struct.
45 (11-12), 3153-3172 (2008). |
| 17. | B. E. Pobedrya and D. V. Georgievskii,
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|
| Received |
11 March 2012 |
| Link to Fulltext |
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