 | | 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
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| In English (Mech. Solids): | | 4760 |
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| S.E. Omarov, "Determining the Material Constant in the Equilibrium Problem for an Infinite Elastic Plane Weakened by a Circular Hole," Mech. Solids. 44 (5), 776-780 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
5 |
Pages |
776-780 |
| DOI |
10.3103/S002565440905015X |
| Title |
Determining the Material Constant in the Equilibrium Problem for an Infinite Elastic Plane Weakened by a Circular Hole |
| Author(s) |
S.E. Omarov (Lomonosov Moscow State University, GSP-2, Leninskie Gory, Moscow, 119992 Russia) |
| Abstract |
The averaging method is used to determine the material functions of the linear Cosserat theory of elasticity. The proposed method is used to find the material constant in the equilibrium problem for an infinite plane weakened by a circular hole. |
| Keywords |
Cosserat elasticity, material function, averaging, composite |
| References |
| 1. | W. Voigt,
"Theoretische Studient über die Elasticitats Verhältnisse der Kristalle,"
Abhandl. Ges. Wiss. Gottingen
3, 100 (1887). |
| 2. | E. F. Cosserat and F. F. Cosserat,
Theorie des Corps Deformbles
(Hermann, Paris, 1909). |
| 3. | W. Weitzman,
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near a Circular Inclusion in a Uniaxial Torsion Field,"
Trudy Amer. Obshch. Inzhen.-Mekh. Prikl. Mekh.
32 (2), 193-197 (1965). |
| 4. | R. D. Mindlin,
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Exp. Mech. 3, 1-7 (1963)
[Mekhanika. Period. Sb. Perev. Inostr. Statey (Russ. Transl.),
No. 4, 115-128 (1964]. |
| 5. | Yu. N. Nemish,
"Plane Problem of the Couple Stress Theory of Elasticity for a Domain with a Circular Hole,"
Prikl. Mekh.
1 (5), 52-59 (1965). |
| 6. | E. L. Aero and E. V. Kuvshinskii,
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2, 1272-1281 (1961)]. |
| 7. | E. V. Kuvshinskii and E. L. Aero,
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Fiz. Tverd. Tela
5 (9), 2591-2598 (1963)
[Sov. Phys. Solid State (Engl. Transl.)
5, 1892-1897 (1964)]. |
| 8. | V. A. Pal'mov,
"Fundamental Equations of the Theory of Asymmetric Elasticity,"
Prikl. Mat. Mekh.
28 (3), 401-408 (1964)
[J. Appl. Math. Mech. (Engl. Transl.)
28 (3), 496-505 (1964)]. |
| 9. | W. Nowacki,
Theory of Elasticity
(PWN, Warsaw, 1970; Mir, Moscow, 1975). |
| 10. | G. N. Savin,
Foundations of the Plane Problem
of the Couple Stress Theory of Elasticity
(Izd-vo Kiev. Univ., Kiev, 1965)
[in Russian]. |
| 11. | O. Hoffman,
"On Bending of Thin Elastic Plates in the Presence of Couple Stress,"
Trudy Amer. Obshch. Inzhen.-Mekh. Prikl. Mekh.
31 (4), 149-150 (1964). |
| 12. | H. Schaefer,
"Versuch einer Elastisitätstheorie des Zweidimensionalen
ebenen Cosserat-Kontinuums,"
in Miszellaneen Angewandten Mechanik
(Akademie-Verlag, Berlin, 1962),
pp. 277-292
[in German]. |
| 13. | B. E. Pobedrya and S. E. Omarov,
"Constitutive Relations of Couple Stress Theory of Elasticity,"
Vestnik Moskov. Univ. Ser. I Mat. Mekh.,
No. 3, 56-58 (2007)
[Moscow Univ. Math. Bull. (Engl. Transl.)]. |
| 14. | B. E. Pobedrya,
Mechanics of Composite Materials
(Izd-vo MGU, Moscow, 1984)
[in Russian]. |
| 15. | V. A. Pal'mov,
"The Plane Problem in the Theory of Nonsymmetrical Elasticity,"
Prikl. Mat. Mekh.
28 (6), 1117-1120 (1964)
[J. Appl. Math. Mech. (Engl. Transl.)
28 (6), 1341-1345 (1964)]. |
| 16. | S. P. Timoshenko and J. N. Goodyear,
Theory of Elasticity
(McGraw-Hill, New York, 1951; Nauka, Moscow, 1975). |
|
| Received |
18 October 2007 |
| Link to Fulltext |
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