 | | 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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| R. A. Arutyunyan and D. E. Troshin, "On the influence of deformation with aging on the shakedown phenomenon in elastic-plastic systems," Mech. Solids. 36 (5), 123-125 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
5 |
Pages |
123-125 |
| Title |
On the influence of deformation with aging on the shakedown phenomenon in elastic-plastic systems |
| Author(s) |
R. A. Arutyunyan (St. Petersburg)
D. E. Troshin (St. Petersburg) |
| Abstract |
The shakedown phenomenon in elastic-plastic systems subjected to aging
is investigated
to estimate the strength and endurance
properties of various engineering structures. For the case of cyclic change
of the plastic strain, their strength fails at a relatively small number of
cycles (low-cycle fatigue). This fact gives rise to the problem of design
of elastic-plastic systems undergoing plastic deformation only at first
cycles. Such a design implies that the deformation of the system becomes
elastic as the number of loading cycles increases. Such a behavior of
elastic-plastic systems is possible and is accounted for by a certain
distribution of negative residual stresses formed as a result of the
plastic deformation at the initial stage of the loading. This phenomenon
is referred to as shakedown. The present paper is aimed at the study of
the shakedown phenomenon taking into account aging effects. The results of
the study are illustrated by the shakedown problem for a system formed by
three rods made from a metal subject to aging. Experiments with simple rod
systems are considered. A dimensionless characteristic of the shakedown
region is introduced. |
| References |
| 1. | W. Prager, "Problem types in the theory of perfectly plastic
materials," J. Aer. Sci., Vol. 15, No. 6, pp. 337-341, 1948. |
| 2. | L. M. Kachanov, Fundamentals of the Theory of Plasticity
[in Russian], Nauka, Moscow, 1969. |
| 3. | Yu. N. Rabotnov, Strength of Materials [in Russian],
Fizmatgiz, Moscow, 1962. |
| 4. | R. A. Arutyunyan and Z. P. Kamentseva, "Cycling hardening
of alloys subjected to aging," in Investigations for Elasticity
and Plasticity [in Russian], No. 11, pp. 121-127, Izd-vo LGU, Leningrad,
1976. |
| 5. | Ph. G. Hodge, Plastic Analysis of Structures [Russian translation],
Mashgiz, Moscow, 1963. |
|
| Received |
10 January 2000 |
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