 | | 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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| V.G. Zubchaninov, "Isotropy Postulate and the Law of Complex Unloading of Continua," Mech. Solids. 46 (1), 21-29 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
1 |
Pages |
21-29 |
| DOI |
10.3103/S0025654411010043 |
| Title |
Isotropy Postulate and the Law of Complex Unloading of Continua |
| Author(s) |
V.G. Zubchaninov (Tver State Technical University, Nab. Afanasiya Nikitina 22, Tver, 170026 Russia, vgz@rambler.ru) |
| Abstract |
Mechanics of processes of elastoplastic deformation of continua was developed at the turn of the 1950s by the prominent mechanical scientist, Corresponding Member of the USSR Academy of Sciences and the Russian Academy of Sciences, Professor of Moscow State University, A. A. Il'yushin, and was further developed in the 1990s and later. One unsolved problem in process theory has been the hypothesis of complex unloading of media and materials. In the present paper, we discuss various lines of attack on this important fundamental problem in the theory of plasticity. |
| Keywords |
plasticity, elastoplastic process, complex loading and deformation, unloading |
| References |
| 1. | A. A. Il'yushin,
"On the Foundations of General Mathematical Theory of Plasticity,"
in Problems of Plasticity
(AN SSSR, Moscow, 1961),
pp. 3-29
[in Russian]. |
| 2. | H. Hencky,
"To the Theory of Plastic Strains and Residual Stresses Caused by Them in Materials,"
in Yu. N. Rabotnov (Editor),
Theory of Plasticity. Collection of papers
(IL, Moscow, 1948),
pp. 117-135
[in Russian]. |
| 3. | A. A. Il'yushin,
"Several Problems of the Theory of Plastic Strains,"
Prikl. Mat. Mekh.
7 (4), 245-272 (1943)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 4. | A. A. Il'yushin,
Plasticity. Elastoplastic Strains
(Gostechizdat, Moscow, 1948)
[in Russian]. |
| 5. | J. F. Bell,
The Experimental Foundations of Solid Mechanics, Part 1:
Small Strains
(Nauka, Moscow, 1984)
[in Russian]. |
| 6. | A. Haar and T. Karman,
"To the Theory of Stressed States in Plastic and Granular Media,"
in Yu. N. Rabotnov (Editor), Theory of Plasticity, Collection of papers
(IL, Moscow, 1948),
pp. 41-56
[in Russian]. |
| 7. | M. Rosch and A. Aichinger,
"Experiments on Exposing the Danger of Fracture,"
in Yu. N. Rabotnov (Editor), Theory of Plasticity, Collection of papers
(IL, Moscow, 1948),
pp. 157-167
[in Russian]. |
| 8. | A. A. Il'yushin,
"On the Relation between Stresses and Small Strains in Continuum Mechanics,"
Prikl. Mat. Mekh.
18 (6), 641-666 (1954)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 9. | A. A. Il'yushin,
"Problems of the General Theory of Plasticity,"
Prikl. Mat. Mekh.
24 (3), 399-411 (1960)
[J. Appl. Math. Mech. (Engl. Transl.)
24 (3), 587-603 (1960)]. |
| 10. | A. A. Il'yushin,
Plasticity
(Izd-vo AN SSSR, Moscow, 1963)
[in Russian]. |
| 11. | A. A. Il'yushin,
Continuum Mechanics
(Izd-vo MGU, Moscow, 1990)
[in Russian]. |
| 12. | V. G. Zubchaninov,
"Determining Relations of the Theory of Elastoplastic Processes,"
Prikl. Mekh.
25 (5), 3-13 (1989)
[Int. Appl. Mech. (Engl. Transl.)
25 (5), 427-435 (1989)]. |
| 13. | V. G. Zubchaninov,
Mathematical Theory of Plasticity
(TGTU, Tver, 2002)
[in Russian]. |
| 14. | V. G. Zubchaninov,
Stability and Plasticity,
Vol. 2: Plasticity
(Fizmatlit, Moscow, 2008)
[in Russian]. |
| 15. | V. G. Zubchaninov,
Mechanics of Processes of Plastic Media
(Fizmatlit, Moscow, 2010)
[in Russian]. |
|
| Received |
26 August 2010 |
| Link to Fulltext |
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