Modelowanie charakterystyki kontaktu ciał chropowatych obciążonych w kierunku normalnym

• Autorzy: Kostek R.

Warianty tytułu

EN

Model of normal contact between rough surfaces

• Języki publikacji: PL

Abstrakty

PL

W artykule przedstawiono nieliniowy model matematyczny opisujący charakterystykę kontaktu w kierunku normalnym, uzyskaną podczas pierwszego obciążania, odciążania i kolejnych cykli obciążania i częściowego odciążania. Niewiele publikacji poświęcono modelowaniu pełnej charakterystyki kontaktu, zazwyczaj uwaga badaczy była skupiona na wybranym fragmencie charakterystyki, na przykład na pierwszym obciążeniu, lub charakterystyce kontaktu ustabilizowanego. Dlatego model opisujący pełną charakterystykę jest wartościowy.

EN

In this article a non-linear mathematical model of contact between rough surfaces, which is loaded in the normal direction, is presented. The presented model describes well the first loading, unloading and next loading and unloading cycles. Even partial unloading and hysteresis are well reflected. A few articles are focus on modelling fuli characteristic of contact. Usually researchers are focused on selected issues of contact. They usually describe the first loading or stabilised contact, thus the presented contact is valuable.

Słowa kluczowe

PL

powierzchnia chropowata; model matematyczny; odkształcenie kontaktowe

EN

rouh surface; mathematical model; contact deformation

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej. Oddział Gliwice
• Czasopismo: Modelowanie Inżynierskie
• Rocznik: 2012
• Tom: T. 12, nr 43
• Strony: 113--120
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Kostek R.

• Wydział Inżynierii Mechanicznej, Uniwersytet Technologiczno-Przyrodniczy w Bydgoszczy,

Bibliografia

• 1. Etsion, L, Kligerman, Y., Kadin, Y.: Unloading of an elastic-plastic loaded spherical contact. „International Journal of Solids and Structures" 2005, 13, 42, p. 3716-3729.
• 2. Kadin Y., Kligerman Y., Etsion I.: Unloading an elastic-plastic contact of rough surfaces. "Journal of Mechanics and Physics of Solids" 2006, 12, 54, p. 2652-2674.
• 3. Goerke D., Willner K.: Normal contact of fractal surfaces-experimental and numerical investigations. "Wear" 2008, 7-8, 264, p. 589-598.
• 4. Tworzydlo W.W., Cecot W., Oden J.T., Yew C.H.: Computational micro- and macroscopic models of contact and friction: formulation, approach and applications. "Wear" 1998, 2, 220, p. 113-140.
• 5. Vu-Quoc L., Zhang X.: An elasto-plastic contact force-displacement model in the normal direction: displacement-driven version. In: Proceedings - Royal Society. Mathematical, physical and engineering sciences, 1991, 455, 1999, p. 4013-4044.
• 6. Skrodzewicz J.: Influence of the lubricating agent on the properties of contact joints. "Journal of Theoretical and Applied Mechanics" 2003, 1, 41, p. 107-118.
• 7. Gutowski P., Skrodzewicz J.: Experimental investigations of the planar contact joints under dynamic loads. In: 5th conference on experimental methods in designing and maintenance machines. Wrocław: University of Technology, 2001. T.l, 2001, p. 341-352.
• 8. Kostek R.: Investigation of the normal contact microvibrations and their influence on the friction force reduction within the dynamical systems. Praca doktorska. Szczecin: Pol. Szczec. 2005.
• 9. Pei L., Hyun S., Molinari J.F., Robbins M.O.: Finite element modelling of elasto-plastic contact between rough surfaces. "Journal of the Mechanics and Physics of Solids" 2005, 11, 53, p. 2385-2409.
• 10. Nicola L., Bower A.F., Kim K.S., Needleman A., Van der Giessen E.: Surface versus bulk nucleation of dislocations during contact. "Journal of the Mechanics and Physics of Solids" 2007, 6, 55, p. 1120-1144.
• 11. Goel S., Luo X., Reuben R.L., Pen H.: Influence of temperature and crystal orientation on tool wear during single point diamond turning of silicon. "Wear" (w druku).
• 12. Kruggel-Emden H., Wirtz S., Scherer V.: A study on tangential force laws applicable to the discrete element method (DEM) for materials with visco-elastic or plastic behaviour. "Chemical Engineering Science" 2008, 6, 63, p. 1523-1541.
• 13. Munjiza A.: The combined finite-discrete element method. John Wiley & Sons Ltd., 2004
• 14. Grudziński K., Kostek R.: An analysis of nonlinear normal contact microvibrations excited by a harmonic force. "Nonlinear Dynamics" 2007, 4, 50, p. 809-815.
• 15. Hess D.P., Soom A.: Normal vibrations and friction under harmonic loads: Part II -. Rough planar contaets. Transactions of the ASME"Journal of Tribology" 1991, 1, 113, p. 87-92.
• 16. Hunt K.H., Crossley F.R.E.: Coefficient of restitution interpreted as damping in vibroimpact. Transactions of the ASME "Journal of Applied Mechanics'T975, 2, 42, p. 440-445
• 17. Martins J., Oden J., Simoes F.: A study of static and kinetic friction. "International Journal of Engineering Science" 1990, 1, 28, p. 29-92.
• 18. Michalczyk J.: Phenomenon of force impulse restitution in collision modelling. "Journal of Theoretical and Applied Mechanics" 2008, 4, 46, p. 897-908.
• 19. Pombo J.C., Ambrósio J.A.C.: Application of a wheel-rail contact model to railway dynamics in smali radius curved tracks. "Multibody System Dynamics" 2008, 1-2, 19, p. 91-114.
• 20. Schiehlen W., Seifried R., Eberhard P.: Elastoplastic phenomena in multibody impact dynamics. "Computer Methods in Applied Mechanics and Engineering" 2006, 50-51, 195, p. 6874-6890.
• 21. Wriggers P.: Computational contact mechanics. Wien, New York: Springer, 2006
• 22. Lifshitz J.M., Kolsky K.: Some experiments on anelastic rebound. "Journal of the Mechanics and Physics of Solids" 1963, 1, 12, p. 35-43.
• 23. Oden J.T., Martins J.A.C.: Models and computational methods for dynamics friction phenomena. "Computer Methods in Applied Mechanics and Engineering" 1985, 52, p. 527-634.
• 24. Kim J.Y., Baltazar A., Rokhlin S.I.: Ultrasonic assessment of rough surface contact between solids from elastoplastic loading-unloading hysteresis cycle. "Journal of the Mechanics and Physics of Solids" 2004, 8, 52, p. 1911-1934.
• 25. Jones R.E.: Models for contact loading and unloading of a rough surface. "International Journal of Engineering Science" 2004, 17-18, 42, p. 1931-1947.
• 26. Kostek R., Konowalski K.: A model of contact between rough surfaces. "Tribologia" 2008, 5, 39, p. 95-105.
• 27. Kostek R.: Modelling of the loading, unloading and reloading of the elastic-plastic contact of rough surfaces. JTAM, 2, 50, 2012 (w druku)
• 28. Jamari J., Schipper D.J.: Plastic deformation and contact area of an elastic-plastic contact of ellipsoid bodies after unloading. "Tribology International" 2007, 8, 40, p. 1311-1318.
• 29. Long-yuan L., Jian-zu G.: An analytical solution for the unloading in spherical indentation of elastic-plastic solids. "International Journal of Engineering Science" 2009, 3, 47, p. 452-462.
• 30. Archard J.F.: Elastic deformation and the laws of friction.In: Proc. the Royal Society London, Ser. A, 243, 1957, p. 190-205.
• 31. Greenwood J.A., Williamson J.B.P.: The contact of nominally fiat surfaces. In: Proc. of the Royal Society London, Ser. A, 295, 1966, p. 300-319.
• 32. Pullen J., Williamson J.B.P.: On the plastic contact of rough surfaces. In: Proc. of the Royal Society London, Ser. A, 327, 1972, p. 159-173.
• 33. Woo K.L., Thomas T.R.: Contact of rough surfaces: a review of experimental work. "Wear" 1980,2,58, p. 331-340.
• 34. Cichowicz M., Nowicki B.: Sztywność stykowa powierzchni i przyrządy do jej badania. W:XIII Sympozjum Tribologiczne.Częstochowa 1984, p. 316-321.
• 35. Konowalski K.: Doświadczalne badania styku płaskich obrobionych powierzchni. „Współczesne Problemy w Budowie i Eksploatacji Maszyn" 1996, s. 121-127
• 36. http://www.youtube.com/watch?v=ql28X42P5D0