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 2l k (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.
Similar content being viewed by others
References
D. N. Reshetov, “State of the Art and Trends in Machine Elements,” Vestnik Mashinostr., No. 10, 11–15 (2000).
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).
G. Kh. Gadzhiev and V. M. Mirsalimov, “Inverse Problem of Elasticity for Compound Cylinder of Contact Pair,” in Mechanics (Mashinostroenie, Moscow, 2002) [in Russian].
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.
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).
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)].
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.
G. Kh. Gadzhiev, “Optimal Design of Compound Cylinder of Contact Pair,” Probl. Mashinostr. Nadezhn. Mashin, No. 5, 81–86 (2003).
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)].
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).
G. P. Cherepanov, Mechanics of Brittle Fracture (Nauka, Moscow, 1974; McGraw-Hill, New York, 1979).
N. I. Muskhelishvili, Some Fundamental Problems of Mathematical Elasticity Theory (Nauka, Moscow, 1966) [in Russian].
V.V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Stress Distribution near Cracks in Plates and Shells (Naukova Dumka, Kiev, 1976) [in Russian].
V. M. Mirsalimov, Inhomogeneous Elastoplastic Problems (Nauka, Moscow, 1987) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.M. Mirsalimov, 2009, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2009, No. 1, pp. 165–173.
About this article
Cite this article
Mirsalimov, V.M. Inverse problem of fracture mechanics for a compound cylinder. Mech. Solids 44, 141–148 (2009). https://doi.org/10.3103/S0025654409010154
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654409010154