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Abstrakty
Frictionless contact of two isotropic half spaces is considered one of which has a small smooth circular recess. A method of solving the corresponding boundary value problem of elasticity in axially symmetric case is presented via the function of gap height. The governing integral equation for this function is solved analytically by assuming a certain shape of the initial recess. On the basis of the closed-form solution obtained the strength analysis of a contact couple is performed and illustrated from the standpoint of fracture mechanics.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
64--70
Opis fizyczny
Bibliogr. 15 poz., rys., wykr.
Twórcy
Bibliografia
- 1. Barber J.R. (1983), The solution of elasticity problems for a half-space by the method of Green and Collins, Appl. Scientific Research, 40, No 2, 135-157.
- 2. Božydarnyk V.V., Sulym G.T. (1999), Elementy teorii plastyčnosti ta micnosti, Svit, Lviv.
- 3. Johnson K.L. (1985), Contact Mechanics, Oxford University Press, Oxford.
- 4. Kaczyński A., Monastyrskyy B. (2002), Contact problem for periodically stratified half-space and rigid foundation possessing geometrical surface defect, J. Theor. Appl. Mech., 40, 985-999.
- 5. Kit H.S., Martynyak R.M. (1999), Prostorovi kontaktni zadači dlia pružnogo pivprostoru i žorstkoi osnovy z poverchnevymy vyimkamy, Mat. Metody i Fiz.-Mech. Polia, 42, No.3, 7-11.
- 6. Kit H.S., Martynyak R.M., Monastyrskyy B. Ye, (2001), Metod potencialiv v zadačach pro lokalnu vidsutnist kontaktu, Visn. Dnipropetr. Univer. Ser. Mechanika, 1, No. 4, 69-77.
- 7. Kolesnikov Yu. V., Morozov E. M. (1989), Contact Fracture Mechanics, Nauka, Moscow.
- 8. Martynyak R.M. (1985), Vzaimodejstvie uprugich poluploskostej pri nepolnommechaničskom kontakte, Mat. Metody i Fiz.-Mech. Polia, 22, 89-92.
- 9. Martynyak R.M., (2000), Metod funkcij mižkontaktnych zazoriv v zadačach porušennja kontaktu pružnych pivprostoriv, Mat. Metody i Fiz.-Mech. Polia, 43, No1., 102-108.
- 10. Monastyrskyy B. (2002), Axially Symmetric Problems of Thermoelasticity for solids with local geometric imperfections of the boundaries. PhD thesis, Lviv.
- 11. Monastyrskyy B. , Kaczyński A. (2005), Contact between an elastic layer and elastic semi-infinite space bounded by a plane with axially symmetric smooth dip, Electr. J. Polish Agricultur. Univ., Vol. 8, No 4.
- 12. Monastyrs’kyj B.E., Martynyak R.M. (2003), Contact of two half space one of which contains a ring-shaped pit. Part 1. Singular integral equation., Materials Science, Vol. 39, No 2, 206-213.
- 13. Sneddon I. (1966), Mixed Boundary Value Problems in Potential Theory. Wiley, New York.
- 14. Shvets R.M., Martynyak R.M., Kryshtafovych A.A.(1996) Discontinuous contact of an anisotropic half-plane and a rigid base with disturbed surface, Int. J. Engng. Sci. 34, No 2.,183-200.
- 15. Uflyand Ya. S. (1977), Dual Integrals Method in Mathematical Physics Problems, Nauka, Leningrad.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0048-0011