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The paper presents the exact analytic solution to the antiplane problem for a non-homogeneous bimaterial medium containing closed interfacial cracks, which faces can move relatively to each other with dry friction. The medium is subjected to the action of normal and arbitrary single loading in a longitudinal direction. Based on the discontinuity function method the problem is reduced to the solution of the system of singular integral-differential equations for stress and displacement discontinuities at the possible slippage zones. Influence of loading parameters and the effects of friction on the sizes of these zones is analyzed. The stress intensity factors, stress and displacement discontinuities, energy dissipation are determined for several characteristic types of external loading.
Czasopismo
Rocznik
Tom
Strony
115--121
Opis fizyczny
Bibliogr. 34 poz., rys., wykr.
Twórcy
autor
- Faculty of Mechanical Engineering, Bialystok University of Technology, 45C, Wiejska Str., 15-351 Bialystok, Poland
autor
- Ukrainian Academy of Printing, Pidgolosko Str. 19, 79020 L’viv, Ukraine
autor
- Ukrainian Academy of Printing, Pidgolosko Str. 19, 79020 L’viv, Ukraine
autor
- pasternak@ukrpost.ua
Bibliografia
- 1. Antipov Yu.A. (1995), The crack in the line section of elastic media in the presence of dry friction (in russian), Prikl. matematika i mehanika, 59, Vyp. 2, 290-306.
- 2. Aravas N., Sharma S.M. (1991), An elastoplastic analysis of the interface crack with contact zones, J. Mech. Phys. Solids, 39, 311–344.
- 3. Arhipenko K.M., Kriviy O.F. (2008), Interfacial beam at different types of contact interaction with inhomogeneous anisotropic plane (in ukrainian), Mashinoznavstvo, 8, No 3 (129), 16–21.
- 4. Bogdanovich P.N., Tkachuk D.V. (2009), Thermal and thermo-mechanical effects in sliding contact (in russian), Treniye i iznos, 30, No 3, 214-229.
- 5. Brussat T.R., Westmann R.A. (1974), Interfacial slip around rigid fiber inclusion, Journal of Composite Materials, 8, No. 4, 364–377.
- 6. Cherepanov G.P. (1966), On the development of cracks in compressed bodies (in russian), Prikladnaya matematika i mehanika, 30, No 1, 82–93.
- 7. Comninou M. (1977), The interface crack, J. Appl. Mech., 44, 631– 636.
- 8. Comninou M., Schmueser D. and Dundurs J. (1980), Frictional slip between a layer and a substrate caused by a normal load, Int. J. Engn. Sci., 18, 131–137.
- 9. Datsyshyn O.P., Kadyra V.M. (2006), A fracture mechanics approach to prediction of pitting under fretting fatigue conditions, Int. J. of Fatigue, 28, No 4, 375–385.
- 10. Evtushenko A.A., Sulim G.T. (1981), Stress concentration near a cavity filled with a liquid, Soviet Materials Science, 16, No. 6, 546–549.
- 11. Goryacheva I.G. (2001), Mechanics of frictional interaction (in russian), Moskva, Nauka.
- 12. Goryacheva I.G., Rajeev P.T. and Farris T.N. (2001), Wear in partial slip contact, J. Tribology, 123, 848–856.
- 13. Herrmann K.P., Loboda V.V. (1999), On interface crack models with contact zones situated in an anisotropic biomaterial, Archive of App. Mech., 69, 317–335.
- 14. Hills D.A, Nowell D. and Sackfield A. (1993), Mechanics of elastic contact, Butterworth-Heinemann, Oxford.
- 15. Johnson K.L. (1985), Contact mechanics, Cambridge: Cambridge University press.
- 16. Kharun I.V., Loboda V.V. (2003), A set of interface cracks with contact zones in combined tension-shear field, ActaMechanica, 166, 43– 56.
- 17. Kit G.S., Martynyak R.M. and Machishyn I.M. (2003), The effect of fluid in the contact gap on the stress state of conjugate bodies, Ibid, 39, No 3, 292–299.
- 18. Kundrat M.M., Sulym H.T. (2003), Prefracture zones in the composition of high-modulus elastic inclusion with symmetric and antisymmetric load (in ukrainian), Matematychni problem mehaniky neodnoridnyh struktur, Lviv, 322–324.
- 19. Loboda V.V., Kharun I.V. (2001), Plane Problem of a Crack on the Interface of Orthotropic Plates with Friction of Crack Lips, Materials Science, 37, Issue 5, 735–745.
- 20. Malanchuk N. et al. (2007), Local sliding of bodies surface inhomogeneities caused by the actions of power and heat loads (in ukrainian), Mashinoznavstvo, No 7, 15–20.
- 21. Martynyak R.M., Kryshtafovych A. (2000), Friction contact of two elastic half-planes with local recesses in boundary, J. Friction and Wear, 21, No 4, 6–15.
- 22. Martynyak R.M. et al. (2005), Elastic interaction of two half-planes shear in the local area borders on contact gap (in ukrainian), Mat. Metody ta fiz.-meh. polya, 48, No 3, 101–109.
- 23. Ostryk V.I., Ulitko A.F. (2006), Wiener-Hopf method to contact problems of theory of elasticity (in russian), Kiev, Naukova dumka.
- 24. Panasyuk V.V. et al. (1976), Distribution tense neighborhood of cracks in the plates and shells (in russian), Kiev, Naukova dumka.
- 25. Pasternak Ya.M., Sulym H.T., Piskozub L.G. (2010), Models of thin inclusion with the account of imperfect contact with the medium (in russian), Proc. of VI International symposium on Tribo-Fatigue MSTF 2010 (Minsk, 25 oct. – 1 nov. 2010) in 2 parts, part 2., Minsk, BGU, 399–404.
- 26. Piskozub J.Z., Sulim G.T. (2008), Thermoelastic equilibrium of piecewise homogeneous solids with thin inclusions, Journal of Engineering Mathematics. Special Issue Thermomechanics, 61, 315–337.
- 27. Popov G.Ya. (1966), Plane contact problem of the theory of elasticity with the forces of adhesion and friction (in russian), Prikladnaya matematika i mehanika, 30, No 3, 551–563.
- 28. Pyriev S.Yu. et al. (2012), Thermomechanical wear during quasi-stationary frictional heating (in russian), Treniye i iznos, 33, No 5, 435–443.
- 29. Schmueser D., Comninou M., Dundurs J. (1980), Separation and slip between a layer and substrate caused by a tensile load, Ibid, 18, 1149–1155.
- 30. Sekine H.(1982), Mechanics of debonding along the surfaces of dispersed flat inclusions in composite materials (A model of debonding along the surface of a flat inclusion), Trans. ASME. Journal of Applied Mechanics, 48A, No. 11 (435), 1415–1420.
- 31. Sulym H.T. (2007), Fundamentals of the mathematical theory of thermoelastic equilibrium of deformable bodies with thin inclusions (in ukrainian), Lviv, Doslidno-vydavnychyy tsentr NTSh.
- 32. Sulym H.T., Piskozub Y.Z. (2004), Conditions of contact interaction (review) (in ukrainian), Mat. metody i fiz.-meh. polya, 47, No 3, 110–125.
- 33. Ulitko A.F., Ostrik V.I. (2002), Interfacial crack subjected to frictional contact (in ukrainian), Visnyk Kyiv. un-tu., Ser. fiz.-mat. nauky, 2, 133–141.
- 34. Weertman J., Lin I.-H., Thomson R. (1983), Double slip plane crack model, Acta met., 31, No 4, 473–482.
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Bibliografia
Identyfikator YADDA
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