  |   | 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 |   
 
 
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| V. M. Mirsalimov,  "Inverse problem of fracture mechanics for a compound cylinder," Mech. Solids. 44 (1), 141-148 (2009) |  
| Year | 
2009 | 
Volume | 
44 | 
Number | 
1 | 
Pages | 
141-148 | 
 
| DOI | 
10.3103/S0025654409010154 |  
| Title | 
Inverse problem of fracture mechanics for a compound cylinder |  
| Author(s) | 
V. M. Mirsalimov (Azerbaijan Technical University, Hussein Javid Prospect 25, Baku, AZ1073, Azerbaijan, irakon63@hotmail.com) |  
| Abstract | 
We consider the plane problem of fracture mechanics for a compound cylinder. We assume that the sleeve (internal cylinder) is reinforced with negative allowance by the external cylinder and that near the sleeve surface there are N arbitrarily located rectilinear cracks of length 2lk (k=1,2,…,N). A minimax criterion is used to determine the negative allowance in the junction theoretically minimizing the fracture parameters (the stress intensity coefficients) of the compound cylinder. A simplified method for minimizing the fracture parameters of the compound cylinder is considered separately. |  
| References | 
| 1.   | D. N. Reshetov, "State of the Art and Trends in Machine Elements," Vestnik Mashinostr., 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. J. Fract. 79(1), R.17-R.21 (1996). |  
| 3.   | G. Kh. Gadzhiev and V. M. Mirsalimov, "Inverse Problem of Elasticity for Compound Cylinder of Contact Pair," in Mechanics (Mashinostroenie, Moscow, 2002) [in Russian]. |  
| 4.   | G. Kh. Gadzhiev and V. M. Mirsalimov, "Inverse Problem of Fracture Mechanics for Compound Cylinder of 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 Compound Cylinder of Contact Pair with the Temperature Stresses and the Internal Contour Roughness Taken into Account," Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 7, 15-23 (2003). |  
| 6.   | G. Kh. Gadzhiev and V. M. Mirsalimov, "Optimum Design of Contact Pair of Composite Cylinder-Plunger," Trenie Iznos 25(5), 466-473 (2004) [J. Frict. Wear (Engl. Transl.) 25 (5), 12-18 (2005)]. |  
| 7.   | G. Kh. Gadzhiev and V. M. Mirsalimov, "On a Method for Decreasing the Wear of Compound Cylinder Sleeve in Contact Pair," inMechanics and Tribology of Transport Systems. Proc. Intern. Congress, Vol. 1 (Rostov-on-Don, 2003), pp. 219-221. |  
| 8.   | G. Kh. Gadzhiev, "Optimal Design of Compound Cylinder of Contact Pair," Probl. Mashinostr. Nadezhn. Mashin, No. 5, 81-86 (2003). |  
| 9.   | G. Kh. Gadzhiev and V. M. Mirsalimov, "Wear Minimization of Bush Internal Surface in the Combined Cylinder of a Contact Pair," Trenie Iznos 25(3), 231-237 (2004) [J. Frict. Wear (Engl. Transl.) 25 (3), 1-6 (2005)]. |  
| 10.   | V. M. Mirsalimov and F. A. Bakhyshev, "Inverse Problem of Fracture Mechanics of Compound Perforated Plate in Bending," Probl. Mashinostr. Nadezhn. Mashin, No. 5, 28-37 (2005). |  
| 11.   | G. P. Cherepanov, Mechanics of Brittle Fracture (Nauka, Moscow, 1974; McGraw-Hill, New York, 1979). |  
| 12.   | N. I. Muskhelishvili, Some Fundamental Problems of Mathematical Elasticity Theory (Nauka, Moscow, 1966) [in Russian]. |  
| 13.   | V.V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Stress Distribution near Cracks in Plates and Shells (Naukova Dumka, Kiev, 1976) [in Russian]. |  
| 14.   | V. M. Mirsalimov, Inhomogeneous Elastoplastic Problems (Nauka, Moscow, 1987) [in Russian]. |  
 
 |  
| Received | 
26 January 2006 |  
| Link to Fulltext | 
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