 | | 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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| << Previous article | Volume 50, Issue 4 / 2015 | Next article >> |
| B.D. Annin, "Nonequivalence of Some Loading Paths Obtained by Rotation in the Five-Dimensional Il'yushin Space," Mech. Solids. 50 (4), 397-399 (2015) |
| Year |
2015 |
Volume |
50 |
Number |
4 |
Pages |
397-399 |
| DOI |
10.3103/S0025654415040056 |
| Title |
Nonequivalence of Some Loading Paths Obtained by Rotation in the Five-Dimensional Il'yushin Space |
| Author(s) |
B.D. Annin (Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr. akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, annin@hydro.nsc.ru) |
| Abstract |
An example illustrating the noninvariance of the coaxiality property of nonsimilar stress and strain tensors under rotations in the five-dimensional Il'yushin space is constructed. |
| Keywords |
coaxiality, rotation, five-dimensional space |
| References |
| 1. | A. A. Il'yushin, Collected Papers (1946-1966), Vol. 2:
Plasticity (Fizmatlit, Moscow, 2004) [in Russian]. |
| 2. | A. Yu. Ishlinskii,
Applied Problems of Mechanics, Vol. 1:
Mechanics of Viscoplastic and Imperfectly Elastic Bodies
(Nauka, Moscow, 1986)
[in Russian]. |
| 3. | A. A. Il'yushin,
Continuum Mechanics
(Izd-vo MGU, Moscow, 1971)
[in Russian]. |
| 4. | D. D. Ivlev,
Mechanics of Plastic Media,
(Fizmatlit, Moscow, 2001), Vol. 2
[in Russian]. |
| 5. | V. V. Novozhilov, "On the Forms of the Stress-Strain Relation for
Initially Isotropic Nonelastic Bodies (Geometric Aspect of the
Question)," Prikl. Mat. Mekh. 27 (5), 794-812 (1963) [J.
Appl. Math. Mech. (Engl. Transl.) 27 (5), 1219-1243
(1963)]. |
| 6. | A. A. Il'yushin, Collected Papers. Modeling of Dynamic
Processes in Solids and Engineering Applications (Fizmatlit,
Moscow, 2009) [in Russian]. |
| 7. | V. G. Zubchaninov,
"Theory of Processes and Incomplete Plasticity of Continua
and A. A. Il'yushin's Isotropy Postulate,"
Vestnik ChGPU im. Yakovleva,
No. 1(9), 38-60 (2011). |
| 8. | R. A. Vasin, "Several Problems of Relationship between Stresses
and Strains in Complex Loading," in Elasticity and
Inelasticity (Izd-vo MGU, Moscow, 1971), pp. 59-126 [in Russian]. |
| 9. | R. A. Vasin, "Theory of Elastoplastic Processes and Experimental
Plasticity," Elasticity and Inelasticity (Izd-vo MGU,
Moscow, 2011), pp. 44-50 [in Russian]. |
| 10. | Yu. N. Rabotnov (Editor),
Theory of Plasticity
(Gos. Izdat. Inostr. Lit., Moscow, 1948)
[in Russian]. |
|
| Received |
05 March 2015 |
| Link to Fulltext |
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