When adhesive forces are taken into consideration, contacting asperities can still interact after intimate contact is broken. Current theories that predict the contact behavior of adhesive cylindrical asperities fail to capture the forces in this regime. In the present investigation, prior solutions for adhesive cylindrical asperities will be extended to include the condition where the asperities are not in physical contact but are still interacting through adhesive forces. In the extended results, relationships between the adhesive contact radius and the applied normal load will be developed and discussed with respect to the design of micro-scale components.
1.
Weng, K., Wang, M., and Tsai, P., 1975, “Planarize the Sidewall Ripples of Silicon Deep Reactive Ion Etching,” in NSTI-Nanotech 2004 Technical Proceedings, pp. 473–476.
2.
Greenwood
, J.
, and Williamson
, J.
, 1966
, “Contact of Nominally Flat Surfaces
,” Proc. R. Soc. London, Ser. A
, 295
, pp. 300
–319
.3.
Fuller
, K.
, and Tabor
, D.
, 1975
, “The Effect of Surface Roughness on Adhesion of Elastic Solids
,” Proc. R. Soc. London, Ser. A
, 345
, pp. 327
–342
.4.
Maugis, D., 2000, Contact, Adhesion and Rupture of Elastic Solids, Springer-Verlag, Berlin.
5.
Morrow
, C.
, Lovell
, M.
, and Ning
, X.
, 2003
, “A jkr-dmt Transition Solution for Adhesive Rough Surface Contact
,” J. Phys. D
, 36
, pp. 534
–540
.6.
Baney
, J.
, and Hui
, C.
, 1997
, “A Cohesive Zone Model for the Adhesion of Cylinders
,” J. Adhes. Sci. Technol.
, 11
, pp. 393
–406
.7.
Johnson
, K.
, Kendall
, K.
, and Roberts
, A.
, 1971
, “Surface Energy and the Contact of Elastic Solids
,” Proc. R. Soc. London, Ser. A
, 324
, pp. 301
–313
.8.
Derjaguin
, B.
, Muller
, V.
, and Toporov
, Y.
, 1975
, “Effect of Contact Deformations on the Adhesion of Particles
,” J. Colloid Interface Sci.
, 53
, pp. 314
–326
.9.
Kim
, K.
, McMeeking
, R.
, and Johnson
, K.
, 1998
, “Adhesion, Slip, Cohesive Zones and Energy Fluxes for Elastic Spheres in Contact
,” J. Mech. Phys. Solids
, 46
, pp. 243
–266
.10.
Maugis
, D.
, 1992
, “Adhesion of Spheres: The jkr-dmt Transition Using a Dugdale Model
,” J. Colloid Interface Sci.
, 150
, pp. 243
–269
.Copyright © 2005
by ASME
You do not currently have access to this content.