The model of normal adhesion contact between elastic bodies with stochastic surface roughness is considered. Roughness is modeled by a Winkler–Fuss nonlinear layer, which can resist contact compression and tension (in the case of adhesion). The mechanical properties of the layer are determined by statistical theories of adhesion contact between nominally flat rough surfaces. The contact of solids is described by nonlinear boundary integral equations with nonmonotonic operators. Their solutions determine the reduction of the effective thickness of the rough layer, contact stresses, contact domains, and adhesion strength. Formulas for calculating the adhesion force are presented for the most common case of a nominal gap between the contacting bodies.
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References
B. A. Galanov and I. K. Valeeva, “Sliding contact of rough elastic bodies with regard to adhesion,” Dop. NAN Ukrainy, No. 7, Ñ. 86–94 (2004).
I. G. Goriacheva, Mechanics of Frictional Interaction [in Russian], Nauka, Moscow (2001).
K. L. Johnson, Contact Mechanics, Cambridge Univ. Press, Cambridge (1985).
I. V. Kragelsky, M. N. Dobychin, and V. S. Kombalov, Fundamentals of Friction and Wear Design [in Russian], Mashinostroenie, Moscow (1977).
B. V. Derjaguin, V. M. Muller, and Y. P. Toporov, “Effect of contact deformations on the adhesion of particles,” J. Colloid Interface Sci., 53, No. 2, 314–326 (1975).
K. N. G. Fuller and D. Tabor, “The effect of surface roughness on the adhesion of elastic solids,” Proc. R. Soc. London, Ser. A, 345, No. 1642, 327–342 (1975).
B. A. Galanov, “Models of adhesive contact between rough elastic bodies,” Int. J. Mech. Sci., No. 53, 968–977 (2011).
B. A. Galanov and I. K. Valeeva, “Sliding adhesive contact of elastic solids with stochastic roughness,” Int. J. Eng. Sci., No. 101, 64–80 (2016).
J. A. Greenwood and J. B. P. Williamson, “Contact of nominally flat surfaces,” Proc. R. Soc. London, Ser. A, 295, No. 1442, 300–319 (1966).
T. D. B. Jacobs, K. E. Ryan, P. L. Keating, et al., “The effect of atomic-scale roughness on the adhesion of nanoscale asperities: a combined simulation and experimental investigation,” Trib. Lett., No. 50, 81–93 (2013).
K. L. Johnson, K. Kendall, and A. D. Roberts, “Surface energy and the contact of elastic solids,” Proc. R. Soc. London, Ser. A, 324, No. 1558, 301–313 (1971).
K. L. Johnson, “Non-Hertzian contact of elastic bodies,” in: A. D. de Pater and J. J. Kalker (eds.), The Mechanics of the Contact between Deformable Bodies, University Press, Delft (1975), pp. 26–40.
K. L. Johnson and J. A. Greenwood, “An adhesion map for the contact of elastic spheres,” J. Colloid Interface Sci., No. 192, 326–333 (1997).
D. Maugis, Contact, Adhesion and Rupture of Elastic Solids, Springer, Berlin (2000).
V. Vahdat, K. E. Ryan, P. L. Keating, et al., “Atomic-scale wear of amorphous hydrogenated carbon during intermittent contact: a combined study using experiment, simulation, and theory,” ACS Nano, 8, No. 7, 7027–7040 (2014).
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Translated from Prykladna Mekhanika, Vol. 57, No. 6, pp. 96–103, November–December 2021.
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Valeeva, I.K. Adhesion Contact of Bodies with Curved Rough Surface. Int Appl Mech 57, 700–706 (2021). https://doi.org/10.1007/s10778-022-01119-4
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DOI: https://doi.org/10.1007/s10778-022-01119-4