 | | 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. A. Kuliev, "Stress concentration in a uniformly rotating circular plate weakened by an elliptic hole and two rectilinear cuts," Mech. Solids. 42 (1), 97-103 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
1 |
Pages |
97-103 |
| Title |
Stress concentration in a uniformly rotating circular plate weakened by an elliptic hole and two rectilinear cuts |
| Author(s) |
S. A. Kuliev (Azerbaijan Architectural-Construction University, Ayny Sultanovoy 5, Baku, Azerbaijan, gulin2@bp.com) |
| Abstract |
We consider a uniformly rotating isotropic plate whose cross-section is a two-connected domain bounded from the outside by a circle of radius R and from inside by an ellipse with semiaxes a and b. The rectilinear cuts coming to the ellipse are located symmetrically on the real axis OX. On the imaginary axis OY, two point masses m are located at the distances ±id from the center of the plate.
Such a plate can be considered as a plate under the action of bulk forces (forces of inertia), X, Y, and under the action of two lumped tensile forces P=mdω2 applied at the points ±id. |
| References |
| 1. | S. A. Kuliev,
Two-Dimensional Elasticity Problems
(Stroiizdat, Moscow, 1991)
[in Russian]. |
| 2. | S. A. Kuliev,
Conformal Mapping
(Izd. Azerb. Politekh. Inst., Baku, 1995)
[in Russian]. |
| 3. | S. A. Kuliev,
"Stressed State of Polygonal Plate with Central Circular Hollow
and Two Linear Cracks,"
Eng. Fract. Mech.
27 (6) 601-613 (1987). |
| 4. | A. S. Kosmodamianskii,
Plane Problem of Theory of Elasticity for Plates with Hollows, Cuts, and Protuberances
(Vishcha Shkola, Kiev, 1975)
[in Russian]. |
| 5. | N. I. Muskhelishvili,
Several Fundamental Problems of Mathematical Theory of Elasticity
(Nauka, Moscow, 1966)
[in Russian]. |
| 6. | S. P. Timoshenko and J. N. Goodyear,
Theory of Elasticity
(Nauka, Moscow, 1975)
[in Russian]. |
| 7. | Yu. A. Amenzade,
Theory of Elasticity
(Vysshaya Shkola, Moscow, 1976)
[in Russian]. |
| 8. | L. T. Berezhnitskii, M. V. Delyavskii, and V. V. Panasyuk,
Bending of Thin Plates with Crack-Type Defects
(Naukova Dumka, Kiev, 1979)
[in Russian]. |
| 9. | G. N. Savin,
Stress Distribution near Holes
(Naukova Dumka, Kiev, 1968)
[in Russian]. |
| 10. | V. V. Panasyuk, M. P. Savruk, and A. P. Datsyshin,
Stress Distribution near Cracks in Plates and Shells
(Naukova Dumka, Kiev, 1976)
[in Russian]. |
| 11. | D. I. Sherman,
"Elastic Plane with Rectilinear Cuts,"
Dokl. Akad. Nauk SSSR
26 (7), 635-638 (1940)
[Sov. Phys. Dokl. (Engl. Transl.)]. |
| 12. | G. C. Sih, F. Paris, and F. Erdogan,
"Crack-Tip Stress-Intensity Factors
for Plane Extension and Plate Bending Problems,"
Proc. Amer. Soc. Mech. Eng., Ser. E, Appl. Mech.
29 (2), 102-108 (1962). |
| 13. | G. P. Cherepanov,
Mechanics of Brittle Failure
(Nauka, Moscow, 1974)
[in Russian]. |
|
| Received |
30 December 2004 |
| Link to Fulltext |
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