ON ADHESIVE THEORIES IN MULTILAYERED INTERFACES, WITH PARTICULAR REGARD TO "SURFACE FORCE APPARATUS" GEOMETRY

Michele Tricarico, Antonio Papangelo, Andrei Constantinescu, Michele Ciavarella

DOI Number
https://doi.org/10.22190/FUME190118011T
First page
95
Last page
102

Abstract


Adhesion is a key factor in many tribological processes, especially wear.  We generalize a recent formulation for the indentation of a multilayered material using an efficient integral transform method, to the case of adhesion, using a simple energetic transformation in the JKR regime. Then, we specialize the study for the geometry of the Surface Force Apparatus, which consists of two thin layers on a substrate, where the intermediate layer is softer than the other two. We find the pull-off force under "force control" (i.e. for "soft" loading systems), as well as under "displacement control" (i.e. for "rigid" systems), as a function of the geometrical thicknesses and material properties ratios, and the method is fully implemented in a fast Mathematica code, available to the public (see Appendix).

Keywords

JKR Theory, Surface Force Apparatus, Adhesion

Full Text:

PDF

References


Ciavarella, M., Joe, J., Papangelo, A., Barber, J.R., 2019, The role of adhesion in contact mechanics, Journal of the Royal Society Interface, 16(151), 20180738.

Johnson, K.L, Kendall, K., Roberts, A.D., 1971, Surface energy and the contact of elastic solids, Proceedings of the Royal Society A, 324(1558), pp. 301—313.

Tabor, D., Winterton, R.H.S, 1969, The Direct Measurement of Normal and Retarded van der Waals Forces, Proceedings of the Royal Society A, 312(1511), pp. 435-450.

Israelachvili, J.N., Tabor, D., 1972, The Measurement of Van Der Waals Dispersion Forces in the Range 1.5 to 130 nm, Proceedings of the Royal Society A, 331(1584), pp. 19-38.

Sridhar, I., Johnson, K.L., Fleck, N.A., 1997, Adhesion mechanics of the surface force apparatus, Journal of Physics D: Applied Physics, 30(12), 1710.

Chen, S., Yan, C., Zhang, P., Gao, H., 2009, Mechanics of adhesive contact on a power-law graded elastic half-space, Journal of the Mechanics and Physics of Solids, 57(9), pp. 1437-1448.

Stan, G., Adams, G.G., 2016, Adhesive contact between a rigid spherical indenter and an elastic multi-layer coated substrate, International Journal of Solids and Structures 87, pp. 1—10.

McGuiggan, P.M., Wallace, J.S., Smith, D.T., Sridhar, I., Zheng, Z.W., Johnson, K.L., 2007, Contact mechanics of layered elastic materials: experiment and theory, Journal of Physics D: Applied Physics, 40(19), 5984.

Constantinescu, A., Korsunsky, A.M., Pison, O., Oueslati, A., 2013, Symbolic and numerical solution of the axisymmetric indentation problem for a multilayered elastic coating, International Journal of Solids and Structures, 50(18), pp. 2798-2807.

Ciavarella, M., 2018, An approximate JKR solution for a general contact, including rough contacts, Journal of the Mechanics and Physics of Solids, 114, pp.209-218.

Popov, V.L, 2018, Solution of adhesive contact problem on the basis of the known solution for non-adhesive one, Facta Universitatis-Series Mechanical Engineering, 16 (1), pp. 93-98.

Argatov, I., Li, Q., Pohrt, R., Popov, V.L., 2016, Johnson–Kendall–Roberts adhesive contact for a toroidal indenter, Proceedings of the Royal Society A, 472(2191), 20160218.

Popov, V.L., Hess, M., Willert, E., 2017, Handbuch der Kontaktmechanik: Exakte Lösungen axialsymmetrischer Kontaktprobleme, Springer, Berlin, 341 p.




DOI: https://doi.org/10.22190/FUME190118011T

Refbacks

  • There are currently no refbacks.


ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4