 | | 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 37, Issue 3 / 2002 | Next article >> |
| N. V. Minaeva, "On the stress-strain state of thick-walled nearly-axisymmetric pipe," Mech. Solids. 37 (3), 62-65 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
3 |
Pages |
62-65 |
| Title |
On the stress-strain state of thick-walled nearly-axisymmetric pipe |
| Author(s) |
N. V. Minaeva (Voronezh) |
| Abstract |
The method of small parameters is applied to the problem of the
stress-strain state of a thick-walled pipe with the cross section the
difference of which from a circular annulus characterized by two small
parameters. The pipe is loaded by the internal and the external pressures.
A condition for an equivalence between the expansion of the solution into a
series with respect the small parameters and the Taylor series expansion is
found. |
| References |
| 1. | A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of
Functions and Functional Analysis [in Russian], Nauka, Moscow, 1976. |
| 2. | V. A. Minaev and N. V. Minaeva, On the States of a Mechanical
System [in Russian], No. 3807-B98, VINITI, Moscow, 1998. |
| 3. | D. D. Ivlev and L. V. Ershov, Perturbation Method in the Theory of
Elastoplasticity [in Russia], Nauka, Moscow, 1978. |
| 4. | L. V. Ershov and D. D. Ivlev, "On the buckling of a thick-walled
pipe under internal pressure," Izv. AN SSSR. OTN, No. 8, pp. 149-152,
1957. |
| 5. | M. M. Filonenko-Borodich, Theory of Elasticity [in Russian],
Fizmatgiz, Moscow, 1959. |
| 6. | L. S. Leibenzon, "On the application of harmonic functions to the
stability analysis of spherical and cylindrical shells,"
In L. S. Leibenson. Collected Works. Volume 1 [in Russian], pp. 50-86,
Izd-vo AN SSSR, Moscow, 1951. |
| 7. | A. Yu. Ishlinskii, "A consideration of the stability of an
equilibrium of elastic bodies from the point of view of the mathematical
theory of elasticity," Ukrainsk. Matem. Zh., Vol. 6, No. 2,
pp. 140-146, 1954. |
| 8. | K. B. Biezeno and R. Grammel, Engineering Dynamics. Volume 1
[Russian translation], Gostekhizdat, Leningrad, Moscow, 1950. |
|
| Received |
21 March 2000 |
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