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IssuesArchive of Issues2007-1pp.97-103

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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
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