 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| B.E. Pobedrya, "On a Moment Static Problem in Stresses," Mech. Solids. 46 (1), 75-76 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
1 |
Pages |
75-76 |
| DOI |
10.3103/S0025654411010110 |
| Title |
On a Moment Static Problem in Stresses |
| Author(s) |
B.E. Pobedrya (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia, pobedria@tochka.ru) |
| Abstract |
Recently one has often been speaking of problems with couple
stresses. The theory in which such problems are considered is sometimes called micropolar, or the theory of Cosserat continuum [1]. In the case of elastic medium, such a theory is considered in [2].
The classical problem of deformable rigid body mechanics in terms of stresses has not been justified for a long time. (There has been no proofs of the existence theorem and other statements.) A "new statement" of the problem in stresses, where all necessary justifications were performed, was first proposed in [3], and such justifications for micropolar isotropic elastic media were first given in [4]. |
| Keywords |
problem in stresses, couple stresses, asymmetry, constitutive relations |
| References |
| 1. | E. Cosserat and F. Cosserat,
Théorie des Corps Déformables
(Hermann, Paris, 1909). |
| 2. | W. Nowacki,
Theory of Elasticity
(PWN, Warsaw, 1970; Mir, Moscow, 1975). |
| 3. | B. E. Pobedrya,
"On the Problem in Stresses,"
Dokl. Akad. Nauk SSSR
240 (3), 564-567 (1978)
[Sov. Phys. Dokl. (Engl. Transl.)
23, 351-353 (1978)]. |
| 4. | B. E. Pobedrya,
"Static Problem of the Nonsymmetric Elasticity Theory for an Isotropic Medium,"
Vestnik Moskov. Univ. Ser. I. Mat. Mekh.,
No. 1, 54-59 (2005)
[Moscow Univ. Math. Bull. (Engl. Transl.)
60 (1), 14-19 (2005)]. |
| 5. | A. A. Il'yushin,
Continuum Mechanics
(Izd-vo MGU, Moscow, 1990)
[in Russian]. |
| 6. | B. E. Pobedrya,
Numerical Methods in the Theory of Elasticity and Plasticity
(Izd-vo MGU, Moscow, 1995)
[in Russian]. |
|
| Received |
13 October 2010 |
| Link to Fulltext |
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