 | | 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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| M. A. Kulesh, V. P. Matveenko, and I. N. Shardakov, "Construction of analytical solutions of some two-dimensional problems in the moment theory of elasticity," Mech. Solids. 37 (5), 56-67 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
5 |
Pages |
56-67 |
| Title |
Construction of analytical solutions of some two-dimensional problems in the moment theory of elasticity |
| Author(s) |
M. A. Kulesh (Perm)
V. P. Matveenko (Perm)
I. N. Shardakov (Perm) |
| Abstract |
In the framework of the nonsymmetric theory of elasticity, the following problems
are considered: shear of an elastic infinite plane layer (plate);
torsion of a plane ring with rigidly fixed outer boundary by means of
rotation of the inner boundary; deformation of a plane washer by rigid
displacement of its inner contour
relative to the outer contour. It is assumed that deformations of the
material are described not only by the displacement vector but also by the
vector of rotation. General analytical solutions of these problems are
obtained in the form of infinite series. We find the dependence of the
solutions in dimensionless form on the characteristic size of the
problem. The solutions obtained are compared with their analogues from
the symmetric theory of elasticity. |
| References |
| 1. | W. Nowacki, Theory of Elasticity [Russian translation], Mir, Moscow, 1975. |
| 2. | W. Nowacki, Teoria Niesymetrycznej Sprezystości, PNW,
Warszawa, 1971. |
| 3. | E. L. Aero and E. V. Kuvshinskii,
"A continuous theory of asymmetric elasticity; equilibrium of an isotropic
body," Fiz. Tverd. Tela, Vol. 6, No. 9, pp. 2689-2699, 1964. |
| 4. | V. A. Pal'mov, "Basic equations of the nonsymmetric theory of
elasticity," PMM [Applied Mathematics and Mechanics], Vol. 28, No. 3, pp. 401-408, 1964. |
| 5. | N. F. Morozov,
Mathematical Issues of the Theory of Cracks [in Russian], Nauka, Moscow, 1984. |
| 6. | M. Misicu,
"Theory of viscoelasticity with couple stress and some reductions to
two-dimensional problems," Revue de Mecanique, Vol. 8, No. 6, 1963. |
| 7. | M. Misicu,
"On a theory of asymmetric plastic and viscoelastic-plastic solids,"
Revue Romaine de Sciences Techniques, Ser. Mecanique Appl., Vol. 9, No. 3,
1964. |
| 8. | G. N. Savin,
Mechanics of Solids [in Russian], Naukova Dumka, Kiev, 1979. |
| 9. | R. D. Gauthier and W. E. Jahsman,
"A quest for micropolar elastic constants,"
Trans. ASME. Ser. E.J. Appl. Mech., Vol. 42, No. 2, pp. 369-374, 1975. |
| 10. | V. A. Pal'mov,
"A plane problem of the nonsymmetric theory of elasticity,"
PMM [Applied Mathematics and Mechanics], Vol. 28, No. 6, pp. 1117-1120, 1964. |
| 11. | B. M. Chiu and J. D. Lee,
"On the plane problem in micropolar elasticity,"
Intern. J. Eng. Sci., Vol. 11, No. 9, pp. 997-1012, 1973. |
| 12. | A. I. Lur'e, Theory of Elasticity [in Russian], Nauka, Moscow, 1970. |
| 13. | F. Labropulu and O. P. Chandna,
"Some confluent flows of Cosserat fluids", ZAMM, Bd. 75, H. 3,
S. 233-237, 1995. |
|
| Received |
16 May 2000 |
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