 | | 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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| P. E. Tovstik, "Local buckling of plates and shallow shells on an elastic foundation," Mech. Solids. 40 (1), 120-131 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
1 |
Pages |
120-131 |
| Title |
Local buckling of plates and shallow shells on an elastic foundation |
| Author(s) |
P. E. Tovstik (St. Petersburg) |
| Abstract |
Buckling of thin plates and shallow shells resting on an elastic
foundation and subjected to membrane initial loads is
considered. The foundation is modeled by an isotropic elastic
half-space. In accordance with the locality principle, no boundary
conditions are posed at the edges of the plate or shell, and the
critical buckling loads are determined from the condition of existence
of a biperiodic solution. Comparison is carried out with the problem
of local buckling of shallow shells in the absence of elastic
foundation. |
| References |
| 1. | Yu. N. Rabotnov, "Local shell buckling,"
Doklady AN SSSR, Vol. 52, No. 2, pp. 111-112, 1946. |
| 2. | V. P. Shirshov, "Local shell buckling,"
In: 2nd All-Union Conf. on Shells and Plates Theory, [in Russian],
Izd-vo AN UkrSSR, Kiev, pp. 314-317, 1962. |
| 3. | P. E. Tovstik, Buckling of Thin Shells. Asymptotic Methods [in Russian],
Nauka, Fizmatlit, Moscow, 1995. |
| 4. | P. E. Tovstik, "Buckling of thin shells with weakly restrained
edges," Vestnik LGU, Ser. 1, No. 3, pp. 76-81, 1991. |
| 5. | Z. G. Ershova, "Buckling of a cylindrical panel with weakly restrained
straight edge," Vestnik SpbGU, Ser. 1, No. 3, pp. 93-97, 1993. |
| 6. | M. A. Il'gamov, V. A. Ivanov, and B. V. Gulin, Strength,
Buckling, and Dynamics of Shells with an Elastic Filler [in Russian], Nauka,
Moscow, 1977. |
| 7. | N. F. Morozov, M. V. Paukshto, and P. E. Tovstik, "Buckling of a surface
lamina under thermal loading," Izv. AN. MTT [Mechanics of Solids], No. 1,
pp. 130-139, 1998. |
| 8. | E. I. Grigolyuk, and V. V. Kabanov, Buckling of Shells [in Russian],
Nauka, Moscow, 1978. |
| 9. | A. L. Goldenveizer, "On the geometrical buckling theory," Izv. AN. MTT [Mechanics of Solids]old,
No. 1, pp. 143-154, 1983. |
| 10. | V. V. Bolotin, "Edge effects in elastic shell vibrations,"
PMM [Applied Mathematics and Mechanics], Vol. 24, No. 5, pp. 831-842, 1960. |
| 11. | P. E. Tovstik, "On the problem of vibrations of a thin elastic lamina
in contact with a soft elastic body," Vestnik LGU, Ser. 1, No. 1, pp. 93-98, 1986. |
|
| Received |
13 October 2003 |
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