 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| K. I. Romanov, "Study on the creep buckling of a rectangular cross-section beam," Mech. Solids. 40 (4), 122-126 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
4 |
Pages |
122-126 |
| Title |
Study on the creep buckling of a rectangular cross-section beam |
| Author(s) |
K. I. Romanov (Moscow) |
| Abstract |
Various formulations were used in [1-4] to study the stability and buckling of
thin-walled structural elements in creep. Approximate analytical solutions of
buckling problems for beams can be obtained by replacing the beam cross section
by an ideal H-section [4], or by applying the Calladine-Drucker theorem [5].
In [6], a new approximation to the additional energy dissipation in the beam
was introduced which enables, using a parameter, β, depending on the
shape of the beam cross section, to obtain substantially shorter critical times
than those following from the solution for β=0.
In this paper, a solution to the problem of buckling of a rectangular
cross-section beam is presented, which is not based on the H-beam
scheme or the Calladine-Drucker theorem. It is shown that this
solution gives the critical time which demonstrates best agreement with the
corresponding time determined on the basis of the Calladine-Drucker theorem with
the parameter β≠0. |
| References |
| 1. | Yu. N. Rabotnov and S. A. Shesterikov, "Creep buckling of rods and
plates," PMM [Applied Mathematics and Mechanics], Vol. 21, No. 3,
pp. 406-412, 1957. |
| 2. | I. G. Teregulov, Creep Buckling of Thin Plates and Shells [in
Russian], Nauka, Moscow, 1969. |
| 3. | L. M. Kurshin, "On the statements of the problems of creep
buckling: A review," in Problems of Theory of Plasticity and Creep, Vol. 7
[in Russian], pp. 246-302, Mir, Moscow, 1979. |
| 4. | N. J. Hoff, Buckling and Stability [Russian translation], Izd-vo
Inostr. Lit-ry, Moscow, 1955. |
| 5. | C. R. Calladine and D. C. Drucker, "Nesting surfaces of constant rate
of energy dissipation in creep," Quart. of Appl. Maths., Vol. 20, No. 1,
pp. 79-84, 1962. |
| 6. | K. I. Romanov, "Investigation of the creep buckling of a rod
on the basis of the Calladine-Drucker theorem," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 157-161, 1999. |
| 7. | K. I. Romanov and A. A. Chernetsov, "Analysis of creep
buckling of rods," Mashinovedenie, No. 4, pp. 33-35, 1988. |
| 8. | K. I. Romanov, "Buckling of nonlinearly viscous rods," in
Strength Design [in Russian], pp. 139-151, Mashinostroenie, Moscow, 1993. |
| 9. | J. T. Boyle and J. Spence, Stress Analysis of Creep [Russian
translation], Mir, Moscow, 1986. |
| 10. | L. M. Kachanov, Theory of Creep [in Russian],
Fizmatgiz, Moscow, 1960. |
| 11. | K. I. Romanov, "Application of the Calladine-Drucker theorem to
the solution of problems of the creep buckling of rods," in Topical
Problems of Solid Mechanics. Part 3 [in Russian],
pp. 48-57, Gylym, Alma-Ata, 1992. |
|
| Received |
16 June 2003 |
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