 | | 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
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| In English (Mech. Solids): | | 4810 |
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| O.A. Kilikovskaya and N.V. Ovchinnikova, "Influence of the Material Hardening and Compressibility on the Solution of Elastoplastic Deformation Problems for a Space with a Cylindrical Cavity," Mech. Solids. 47 (1), 57-70 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
1 |
Pages |
57-70 |
| DOI |
10.3103/S0025654412010050 |
| Title |
Influence of the Material Hardening and Compressibility on the Solution of Elastoplastic Deformation Problems for a Space with a Cylindrical Cavity |
| Author(s) |
O.A. Kilikovskaya (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia)
N.V. Ovchinnikova (Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr-t 1, Moscow, 119192 Russia, ovch-n@yandex.ru) |
| Abstract |
The present paper deals with plane deformation problems (εz=0) concerned with elastoplastic deformation
of a space with a cylindrical cavity in the case where
the load is given either at infinity or on the cavity surface. It is assumed that the material obeys the relations of the theory of flow with isotropic hardening and the von Mises plasticity condition. The effects of the elastic compressibility (Poisson's ratio) and the coefficient of linear hardening on the stress-strain state are studied. The influence of the linear hardening is shown to be small, while that of the elastic compressibility is shown to be quite significant. |
| Keywords |
plane deformation, plasticity, Poisson's ratio, finite-element method |
| References |
| 1. | A. A. Il'yushin,
Plasticity
(Gostechizdat, Moscow, 1948)
[in Russian]. |
| 2. | V. V. Sokolovskii,
"Elastoplastic Equilibrium of a Cylindrical Tube
in the Case of the Material Strengthening,"
Prikl. Mat. Mekh.
7 (4), 273-292 (1943)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 3. | R. Hill,
The Mathematical Theory of Plasticity
(Oxford Univ. Press, Oxford, 1950; Gostekhizdat, Moscow, 1956). |
| 4. | W. Prager and P. Hodge,
Theory of Perfectly Plastic Solids
(Wiley, New York, 1951; Izd-vo Inostr. Lit., Moscow, 1956). |
| 5. | L. A. Galin,
"Plane Elastoplastic Problem. Plastic Domains for Circular Holes
in Plates and Beams,"
Prikl. Mat. Mekh.
10 (3), 367-386 (1946)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 6. | V. V. Sokolovskii,
The Theory of Plasticity
(Vysshaya Shkola, Moscow, 1969)
[in Russian]. |
| 7. | D. D. Ivlev,
Theory of Ideal Plasticity
(Nauka, Moscow, 1966)
[in Russian]. |
| 8. | V. G. Zadorozhnyi, A. V. Kovalev, and A. N. Sporykhin,
"Analyticity of the Solution of a Plane Elastoplastic Problem,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 138-146 (2008)
[Mech. Solids (Engl. Transl.)
43 (1), 117-123 (2008)]. |
| 9. | D. D. Ivlev and L. V. Ershov,
Perturbation Method in the Theory of Elastoplastic Body
(Nauka, Moscow, 1978)
[in Russian]. |
| 10. | D. D. Ivlev, E. V. Makarov, and Yu. M. Marushkei,
"On Conditions of Plasticity of Compressible Elastoplastic Material
in Plane Deformation,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 4, 80-87 (1978)
[Mech. Solids (Engl. Transl.)]. |
| 11. | A. Nadai,
Plasticity
(McGraw-Hill, New York, 1931; ONTI, Moscow-Leningrad, 1936). |
|
| Received |
10 April 2009 |
| Link to Fulltext |
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