 | | 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
|
| In English (Mech. Solids): | | 4760 |
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| N. G. Ryabenkov and R. F. Faizullina, "An asymptotic method in the plane elastic body deformation theory," Mech. Solids. 40 (3), 41-45 (2005) |
| Year |
2005 |
Volume |
40 |
Number |
3 |
Pages |
41-45 |
| Title |
An asymptotic method in the plane elastic body deformation theory |
| Author(s) |
N. G. Ryabenkov (Kazan)
R. F. Faizullina (Kazan) |
| Abstract |
An approach to expansion of the stress state of a plane elastic body
into a series in terms of a small parameters is proposed. By asymptotic
integration, the classical three-dimensional elasticity equations are
solved, and the capabilities of the proposed approach for development
of deformation models for plates and binding layers are illustrated. |
| References |
| 1. | A. L. Goldenveizer, "Derivation of an approximate plate
bending theory by asymptotic integration of the elasticity
equations," PMM [Applied Mathematics and Mechanics], Vol. 26, No. 4, pp. 660-686, 1962. |
| 2. | L. A. Agalovyan, "On the boundary layer interaction with the internal
stress-strain state of a strip," Izv. AN ArmSSR, No. 5,
pp. 30, 48-62, 1977. |
| 3. | V. M. Mal'kov, "Linear theory of a thin layer of a
low-compressibility material," Doklady AN SSSR, Vol. 293, No. 1,
pp. 52-54, 1987. |
| 4. | V. V. Bolotin, "Basic equations of reinforced materials,"
Mekhanika Polimerov, No. 2, pp. 27-38, 1965. |
| 5. | M. Goland, and E. Reissner, "The stresses in cemented joints,"
J. Appl. Mech., Vol. 11, No. 1, pp. A17-A27, 1944. |
| 6. | Yu. P. Artyukhin, "Stresses in cemented joints," in
Investigations on the Theory of Plates and Shells [in Russian], pp. 3-27, Izd-vo
KGU, Kazan, 1975. |
| 7. | N. G. Ryabenkov, "Asymptotic solution of elasticity problems for
a thin binder layer," in Proceedings of the 18th Int. Conference on the
Theory of Shells and Plates. Volume 2 [in Russian], pp. 142-145,
Izd-vo SGTU, Saratov, 1997. |
| 8. | N. G. Ryabenkov, "A version of the asymptotic approach in the
thin layer elasticity," in Proceedings of the 20th Int. Conference on the
Theory of Shells and Plates [in Russian], pp. 254-261,
Izd-vo NNGU, Nizhni Novgorod, 2002. |
|
| Received |
13 May 2003 |
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