 | | 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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| << Previous article | Volume 44, Issue 2 / 2009 | Next article >> |
| V. M. Mirsalimov, "Simulation of bridged crack closure in a contact pair bushing," Mech. Solids. 44 (2), 232-243 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
2 |
Pages |
232-243 |
| DOI |
10.3103/S0025654409020083 |
| Title |
Simulation of bridged crack closure in a contact pair bushing |
| Author(s) |
V. M. Mirsalimov (Azerbaijan Technical University, Hussein Javid Prospect 25, Baku, AZ1073, Azerbaijan, irakon63@hotmail.com) |
| Abstract |
We use elasticity theory methods to obtain a mathematical description of the closure model for cracks with end regions, where the material adhesion forces acts, in the plunger bushing. It is assumed that, in the case of repeated reciprocating motion of the plunger, the friction fracture of the bushing material occurs owing to the contact interaction. Determining unknown parameters that characterize the crack closure is reduced to solving a system of singular integro-differential equations. We use an algebraization procedure to reduce the integral equations to a system of nonlinear algebraic equations, which can be solved by the successive approximation method. We find the normal and tangential contact forces, the forces in the bridges between the crack faces, and the dimensions of the contact end regions where the crack faces close. |
| References |
| 1. | B. N. Cox and D. B. Marshall, "Concpets for Bridged Cracks in Fracture and Fatigue," Acta Metal 42(2), 341–363 (1994). |
| 2. | R. V. Goldstein and M. N. Perel’muter, "Crack Growth on the Interface between Materials," in Problems of Mechanics: Collected Papers. To the 90th Anniversary of A. Yu. Ishlinskii, Ed. by D. M. Klimov (Fizmatlit, Moscow, 2003), pp. 221–238 [in Russian]. |
| 3. | L. A. Galin, Contact problems of Elasticity and Viscoelasticity (Nauka, Moscow, 1980 [in Russian]. |
| 4. | I. G. Goryacheva, Mechanics of Friction Interaction (Nauka, Moscow, 2001) [in Russian]. |
| 5. | A. P. Khusu, Yu. R. Vitenberg, and V. A. Pal’mov, Surface Roughness: Probability-Theoretical Approach (Nauka, Moscow, 1975) [in Russian]. |
| 6. | I. G. Goryacheva and M. N. Dobychin, Contact Problems in Tribology (Mashinostroenie, Moscow, 1988) [in Russian]. |
| 7. | N. I. Muskhelishvili, Some Fundamental Problems of Mathematical Elasticity Theory (Nauka, Moscow, 1966) [in Russian]. |
| 8. | V.V. Panasyuk, M. P. Savruk, and A. P. Datsyshin, Stress Distribution near Cracks in Plates and Shells (Naukova Dumka, Kiev, 1976) [in Russian]. |
| 9. | V. M. Mirsalimov, Non-One-Dimensional Elastoplastic Problems (Nauka, Moscow, 1987) [in Russian]. |
| 10. | A. A. Il’yushin, Plasticity (Gostechizdat, Moscow, 1948) [in Russian]. |
|
| Received |
26 April 2006 |
| Link to Fulltext |
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