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IssuesArchive of Issues2007-2pp.231-240

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V. M. Mirsalimov, "Optimal design of a compound plate weakened by a periodic crack system," Mech. Solids. 42 (2), 231-240 (2007)
Year 2007 Volume 42 Number 2 Pages 231-240
Title Optimal design of a compound plate weakened by a periodic crack system
Author(s) V. M. Mirsalimov (Azerbaijan Technical University, pr-t Hussein Javida 25, Baku, 370073, Azerbaijan, irakon63@hotmail.com)
Abstract We use the minimax criterion to perform atheoretical analysis of determining the optimal interference for fitting elastic inclusions into holes in an isotropic elastic plate weakened by a periodic system of rectilinear cracks. We construct a closed system of algebraic equations that allows us to minimize the fracture parameters depending on the geometric and mechanical characteristics of the inclusions. The obtained fitting interference for the inclusions ensures an increase in the bearing strength of the compound plate under bending.
References
1.  D. N. Reshetov, "State of the Art and Trends in Machine Elements," Vestnik Mashinostroeniya, No. 10, 11-15 (2000).
2.  V. M. Mirsalimov and E. A. Allahyarov, "The Breaking Crack Build-up in Perforated Planes by Uniform Ring Switching," Intern. Journal of Fracture 79 (1), R.17-R.21 (1996).
3.  G. Kh. Gadzhiev and V. M. Mirsalimov, "Inverse Problem of Elasticity for a Compound Cylinder of a Contact Pair," Mekhanika. Mashinostroenie, No. 2, 5-7 (2002).
4.  G. Kh. Gadzhiev and V. M. Mirsalimov, "Inverse Problem of Fracture Mechanics for a Compound Cylinder of a Contact Pair," in Problems of Mechanics: Collected Papers. To the 90th Anniversary of A. Yu. Ishlinskii, Ed. by D. M. Klimov (Fizmatlit, Moscow, 2003), pp. 196-207.
5.  G. Kh. Gadzhiev, "Determining the Optimal Interference for a Compound Cylinder of a Contact Pair with the Temperature Stresses and the Internal Contour Roughness Taken into Account," Izv. Vyssh. Uchebn. Zaved. Mashinostroenie, No. 7, 15-23 (2003).
6.  G. P. Cherepanov, Mechanics of Brittle Fracture (Nauka, Moscow, 1974) [in Russian].
7.  N. I. Muskhelishvili, Some Basic Problems of Mathematical Theory of Elasticity (Nauka, Moscow, 1966) [in Russian].
8.  V. M. Mirsalimov, "Some Elasto-Plastic Problems for a Plane Weakened by a Periodic System of Circular Holes," Prikl. Mat. Mekh. 40 (1), 152-158 (1976) [J. Appl. Math. Mech. (Engl. Transl.)].
9.  E. I. Grigolyuk and L. A. Filshtinskii, Perforated Plates and Shells (Nauka, Moscow, 1970) [in Russian].
10.  V. M. Mirsalimov, "Interaction of a Periodic System of Elastic Inclusions and Rectilinear Cracks in an Isotropic Medium," PMTF, No. 1, 164-174 (1978).
11.  V. M. Mirsalimov, Fracture of Elastic and Elastoplastic Bodies with Cracks (Elm, Baku, 1984) [in Russian].
12.  M. N. Savruk, Two-Dimensional Problems of Elasticity for Bodies with Cracks (Naukova Dumka, Kiev, 1981) [in Russian].
13.  V. M. Mirsalimov, Inhomogeneous Elastoplastic Problems (Nauka, Moscow, 1987) [in Russian].
Received 20 September 2004
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