 | | 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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| << Previous article | Volume 45, Issue 4 / 2010 | Next article >> |
| N.F. Morozov and P.E. Tovstik, "On Modes of Buckling for a Plate on an Elastic Foundation," Mech. Solids. 45 (4), 519-528 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
4 |
Pages |
519-528 |
| DOI |
10.3103/S0025654410040035 |
| Title |
On Modes of Buckling for a Plate on an Elastic Foundation |
| Author(s) |
N.F. Morozov (St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034 Russia, morozov@nm1016.spb.edu)
P.E. Tovstik (St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034 Russia, peter.tovstik@mail.ru) |
| Abstract |
We study flexural stability of a homogeneous plate compressed in its plane and lying on an elastic foundation. There is an elastic stratum between the plate and the foundation. In the case of homogeneous uniform compression, the linear approximation does not answer the question of the shape of buckling. A geometrically nonlinear approach leads to the conclusion that the buckling shape is of staggered character. |
| Keywords |
surface stability, plate on elastic foundation with stratum, staggered shape of buckling |
| References |
| 1. | N. F. Morozov, M. V. Paukshto, and P. E. Tovstik,
"Stability of a Surface Layer under a Thermal Loading,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 130-139 (1998)
[Mech. Solids (Engl. Transl.)
33 (1), 106-113 (1998)]. |
| 2. | P. E. Tovstik,
"Local Buckling of Plates and Shallow Shells on an Elastic Foundation,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 147-160 (2005)
[Mech. Solids (Engl. Transl.)
40 (1), 120-131 (2005)]. |
| 3. | P. E. Tovstik,
"The Vibrations and Stability of a Prestressed Plate on an Elastic Foundation,"
Prikl. Mat. Mekh.
73 (1), 106-120 (2009)
[J. Appl. Math. Mech. (Engl. Transl.)
73 (1), 77-87 (2009)]. |
| 4. | L. A. Agalovyan and R. S. Gevorkyan,
Nonclassical Boundary-Value Problems for Anisotropic Layered Beams, Plates, and Shells
(Gitutyun NAN RA, Erevan, 2005)
[in Russian]. |
| 5. | P. E. Tovstik,
"Reaction of the Elastic Pre-Stressed Orthotropic Foundation,"
Vestnik St. Petersburg Univ. Mat. Mekh. Astronom.,
No. 4, 98-108 (2006)
[Vestnik St. Petersburg Univ. Math. (Engl. Transl.)]. |
| 6. | M. A. Il'gamov, V. A. Ivanov, and B. V. Gulin,
Strength, Stability, and Dynamics of Shells with Elastic Filler
(Nauka, Moscow, 1977)
[in Russian]. |
| 7. | P. G. Ciarlet,
Mathematical Elasticity
(North-Holland, Amsterdam, 1988; Mir, Moscow, 1992). |
| 8. | G. P. Cherepanov,
"On the Theory of Thermal Stresses in a Thin Bounding Layer,"
J. Appl. Phys.
78 (11), 6826-6832 (1995). |
|
| Received |
10 June 2009 |
| Link to Fulltext |
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