 | | 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
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 39, Issue 1 / 2004 | Next article >> |
| N. V. Minaeva, "Nearly axisymmetric stress-strain state of an elastic-plastic pipe," Mech. Solids. 39 (1), 127-131 (2004) |
| Year |
2004 |
Volume |
39 |
Number |
1 |
Pages |
127-131 |
| Title |
Nearly axisymmetric stress-strain state of an elastic-plastic pipe |
| Author(s) |
N. V. Minaeva (Voronezh) |
| Abstract |
We consider the stress-strain state of an elastic-plastic pipe under internal and
external pressure. The cross-section of the pipe is close to a circular ring
and its divergence from the ring is characterized by two small parameters.
The solution is sought in the form of series in terms of powers of these
parameters. We find a condition which ensures these series to be of Taylor
type. |
| References |
| 1. | D. D. Ivlev and L. V. Ershov,
Perturbation Method in the Theory of Elastic-Plastic Deformations [in Russian],
Nauka, Moscow, 1978. |
| 2. | D. D. Ivlev and L. V. Ershov, "Buckling of a thick-walled pipe under
internal pressure," Izv. AN SSSR. OTN, No. 8, pp. 149-152, 1957. |
| 3. | L. S. Leibenzon,
"Application of harmonic functions to the problem of stability of
spherical and cylindrical shells," in L. S. Leibenzon, Selected Works. Volume 1 [in Russian],
Izd-vo AN SSSR, Moscow, 1951. |
| 4. | A. Yu. Ishlinskii, "Problems of stability of equilibrium of elastic media
from the standpoint of mathematical elasticity," Ukr. Matem. Zh.,
Vol. 6, No. 2, pp. 140-146, 1954. |
| 5. | A. N. Kolmogorov and S. V. Fomin,
Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka, Moscow, 1976. |
| 6. | M. A. Naimark, Linear Differential Operators, Nauka, Moscow, 1968. |
| 7. | M. A. Artemov and N. V. Minaeva,
"On the existence of states of systems with distributed parameters,"
Mathematical Modelling of Systems [in Russian], pp. 8-12, Izd-vo Voronezhsk.
Un-ta, 1998. |
|
| Received |
24 April 2001 |
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