Stick-Slip Contact Problem of Two Half Planes with a Local Recess

• Autorzy: Malanchuk N. , Kaczyński A.
• Języki publikacji: EN

Abstrakty

EN

A plane problem of frictional contact interaction between two elastic isotropic half planes one of which possesses a single shallow recess (depression) is examined in the case of successive application of remote constant normal and shear forces. The loads steps (compression, and next monotonically increasing shear loads) lead to the main contact problem with an unknown stick-slip boundary determined by the Amonton-Coulomb law. It is reduced to a Cauchy-type singular integral equation for the tangential displacement jump in the unknown sliding region. Its size is derived from an additional condition of finiteness of shear stresses at the edges of the slip zone. Considerations are carried out for some general shape of the recess. Analytical results with the characterization of the considered contact are given and illustrated for the certain form of the initial recess.

Słowa kluczowe

EN

friction; contact problem; Amonton-Coulomb law

PL

tarcie; zagadnienie kontaktowe; prawo Amontona-Coulomba

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2011
• Tom: Vol. 5, no. 4
• Strony: 76--81
• Opis fizyczny: Bibliogr. 14 poz., Wykr.

Twórcy

autor

Malanchuk N.

autor

Kaczyński A.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Lviv, Ukraine,

Bibliografia

• 1. Barber J.R., Ciavarella M. (2000), Contact mechanics, Int. J. Solids Struct., Vol. 37, No 1-2, 29-43.
• 2. Ciavarella M. (1998), The generalized Cattaneo partial slip plane contact problem. I – Theory, II – Examples, Int. J. Solids Struct., Vol. 35, 2349-2378.
• 3. Johnson K.L. (1985), Contact mechanics, Cambridge University Press, Cambridge.
• 4. Kaczyński A., Monastyrskyy B. (2002), Contact problem for periodically stratified half-space and rigid foundation possessing geometrical surface defect, J. Theor. Appl. Mech., Vol. 40, No. 4, 985-999.
• 5. Kragelsky I.V., Dobychin M.N., Kombalov V.S. (1982), Friction and wear. Calculation methods, Pergamon Press, Oxford.
• 6. Kryshtafovych A.A,, Matysiak S.J. (2001), Frictional contact of laminated elastic half-spaces allowing interface cavities. Part 1: Analytical treatment. Part 2: Numerical results, Int. J. Numer. Anal. Meth. Geomech., Vol. 25, 1077–1099.
• 7. Martynyak R. M. (1985), Interaction of elastic bodies provided imperfect mechanical contact (in Ukrainian), Mathematical Methods and Physicomechanical Fields, Vol. 22, 89-92.
• 8. Martynyak R., Kryshtafovych A. (2000), Friction contact of two elastic semiplanes with local surface depressions, Friction and Wear, Vol. 21, No. 4, 6-15.
• 9. Martynyak R., Malanchuk N., Monastyrskyy B. (2005a), Elastic interaction of two half-planes provided partial slipping at the region of intersurface gap, Mathematical Methods and Physicomechanical Fields, Vol. 48, No. 3, 101-109.
• 10. Martynyak R., Malanchuk N., Monastyrskyy B. (2005b), Shear of two half planes pressed to each other and containing a surface groove. Part 1. Full contact, Materials Science, Vol. 41, No. 2, 178-185.
• 11. Martynyak R., Malanchuk N., Monastyrskyy B. (2006), Shear of two half planes pressed to each other and containing a surface groove. Part 2. Incomplete contact, Materials Science, Vol. 42, No. 4, 551-559.
• 12. Monastyrskyy B., Kaczyński A. (2010), Contact interaction of two elastic half spaces with circular groove, Materials Science, Vol. 46, No. 3, 336-347.
• 13. Muskhelishvili N.I. (1953), Some basic problems of the mathematical theory of elasticity, Noordhoff, Groningen.
• 14. Shvets R.M., Martynyak R.M., Kryshtafovych A.A. (1996), Discontinuous contact of an anisotropic half-plane and rigid base with disturbed surface, Int. J. Engng. Sci., Vol. 34, No. 2, 183-200.