Abstract
We consider fretting wear in an adhesive contact due to tangential oscillations of small amplitude. While both wear in non-adhesive contacts and adhesive contacts without wear have been studied in detail, there still have been no attempts to combine both approaches. In the present paper, we study the problem of wear in adhesive contacts under the simplified assumption, that the adhesive (attractive) stress is constant up to some critical distance h and vanishes beyond this range (Dugdale approximation). In this approximation, the normal adhesive contact problem can be solved to a great extent analytically. In a series of previous works, it was shown that the worn shape due to fretting wear tends to some limiting shape which is determined solely by the solution of the normal contact problem. In the present paper, we exploit these ideas to derive the limiting shape of the worn body in an adhesive contact.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ko, P.L., Experimental Studies of Tube Fretting in Steam Generators and Heat Exchangers, J. Press. Vessel Technol., 1997, vol. 101, pp. 125–133.
Fisher, N.J., Chow, A.B., and Weckwerth, M.K., Experimental Fretting Wear Studies of Steam Generator Materials, J. Press. Vessel Technol, 1995, vol. 117, pp. 312–320.
Lee, C.Y., Tian, L.S., Bae, J.W., and Chai, Y.S., Application of Influence Function Method on the Fretting Wear of Tube-to-Plate Contact, Tribol. Int., 2009, vol. 42, pp. 951–957.
Cattaneo, C., Sul contatto di due corpi elastici: distribuzione locale degli sforzi, Rendiconti dellAccademia nazionale dei Lincei, 1938, vol. 27, pp. 342–348, 434-436, 474-478.
Mindlin, R.D., Compliance of Elastic Bodies in Contact, J. Appl. Mech, 1949, vol. 16, pp. 259–268.
Ciavarella, M. and Hills, D.A., Brief Note: Some Observations on the Oscillating Tangential Forces and Wear in General Plane Contacts, Eur. J. Mech. A. Solids, 1999, vol. 18, pp. 491–497.
Khrushchov, M.M. and Babichev, M.A., Investigation of Wear of Metals, Moscow: AN SSSR, 1960.
Archard, J.F. and Hirst, W., The Wear of Metals under Unlubricated Conditions, Proc. Roy. Soc. Lond. A, 1956, vol. 236, pp. 397–410.
Popov, V.L. and Heß, M., Method of Dimensionality Reduction in Contact Mechanics and Friction, Berlin: Springer, 2015.
Popov, V.L., Analytic Solution for the Limiting Shape of Profiles due to Fretting Wear, Sci. Rep, 2014, vol. 4, p. 3749.
Dmitriev, A.I., Voll, L.B., Psakhie, S.G., and Popov, V.L., Universal Limiting Shape of Worn Profile under Multiple-Mode Fretting Conditions: Theory and Experimental Evidence, Sci. Rep., 2016, vol. 6, p. 23231.
Dugdale, D.S., Yielding of Steel Sheets Containing Slits, J. Mech. Phys. Solids, 1960, vol. 8, pp. 100–104.
Maugis, D.J., Adhesion of Spheres: The JKR-DMT Transition Using a Dugdale Model, Colloid Interf. Sci., 1992, vol. 150, pp. 243–269.
Popov, V.L. and Dimaki, A.V., Friction in an Adhesive Tangential Contact in the Coulomb-Dugdale Approximation, J. Adhesion, 2016. doi 10.1080/00218464.2016.1214912
Johnson, K.L., Contact Mechanics, Cambridge: Cambridge University Press, 1987.
Johnson, K.L., Kendall, K., and Roberts, A.D., Surface Energy and the Contact of Elastic Solids, Proc. R. Soc. Lond. A, 1971, vol. 324, pp. 301–313.
Popov, V.L., Contact Mechanics and Friction: Physical Principles and Applications, Berlin: Springer-Verlag, 2010.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Text © Y.S. Chai, V.L. Popov, 2016, published in Fizicheskaya Mezomekhanika, 2016, Vol. 19, No. 5, pp. 29-33.
Rights and permissions
About this article
Cite this article
Chai, Y.S., Popov, V.L. Limiting shape due to fretting wear in an adhesive contact in Dugdale approximation. Phys Mesomech 19, 378–381 (2016). https://doi.org/10.1134/S1029959916040044
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1029959916040044